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		<title>Design 2</title>
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		<updated>2014-03-14T04:12:47Z</updated>

		<summary type="html">&lt;p&gt;Julianne: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Figure 1, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
[[File:Glycerol.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1. Global glycerine production in various industrial sectors.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations. &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 2.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 2.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 3.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol.&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 3.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Figure 4.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
&lt;br /&gt;
[[File:PFD_final.png|1100px]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 4. Process Flow Diagram for the production of propylene glycol.&#039;&#039;&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package, the results of which are shown in Figure 5.&lt;br /&gt;
&lt;br /&gt;
[[File:hysys.png|1100px]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 5. HYSYS simulation for the production of propylene glycol.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
Figure 6 below shows the approximated costs of each of the pieces of equipment calculated using Aspen Economic Evaluator v7.3.1.  The major components running through the equipment are not corrosive, except basic water.  In addition most of the vessels are under fairly standard temperatures and pressures.  The key exception is the jacketed reactor, which is subject to extreme conditions.  The selection of SS407 allowed for a cheaper reactor as compared to SS304 due to the higher tensile strength.  The total ISBL equipment cost is 4.8 $MM in 2010 Gulf Coast USD.  The NF cost index is 2250 in 2010 and will conservatively be 2050 in 2014 [26], which adjusts project cost to 5.33 $MM in 2014 Gulf Coast USD.  The 2003 location factor for Brazil is 1.14 [26], and the exchange rate in 2003 was 1 Real = $.3402 [27].  The average rate for the past 3 months has been 1 Real = $.427 [28].  The adjusted capital cost for Brazil in 2014 is therefore 7.63 $MM.  Since the project is large-volume chemical on a new site, OSBL is taken as 40% of ISBL, or 3.05 $MM.  Engineering and contingency costs are taken as 10 and 15%, respectively, of combined ISBL and OSBL costs.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EquipCosts.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 6.&#039;&#039; Equipment Cost Breakdown&lt;br /&gt;
&lt;br /&gt;
=Prices=&lt;br /&gt;
&lt;br /&gt;
The price of feedstocks crude glycerol and hydrogen are $200/t [4, 5] and $1100/t [29].  The price of products propylene glycol and ethylene glycol are $2557/t [8] and $1400/t [23].  The price of consumables NaOH and H2SO4 are $635/t [30] and $80/t [31].  The catalyst must be replaced every 2 years, at a cost of 5.13 $MM [32, 33, 34].  The price of electricity has been fluctuating recently due to lack of rainfall, and is taken as 0.202 $/kWh [35].  Utilities prices for high pressure steam, medium pressure steam, and cooling water are $14.3/t, $12/t, and $.024/t, respectively [26].&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
Based on the plant size, three shift positions with 4.8 operators per shift will comprise the operating labor.  A salary of $35,000 is a reasonable estimate of operator wages in Brazil.  Supervision is taken as 25% of operating labor, and direct overhead is 45% of labor and supervision.  Maintenance is taken as 3% of ISBL Cost, and plant overhead is 65% of labor and maintenance costs.  Property and local tax and insurance are both typically 1% of ISBL plus OSBL Cost.  Repayment of debt associated with fixed investment is accounted for in the weighted average cost of capital so 0% is taken as fixed cost of production.  However, working capital will be funded entirely by debt, so 5% interest of working capital is taken as interest on debt financing.  &lt;br /&gt;
&lt;br /&gt;
The plant is scheduled to be constructed over two years, with 40% of capital expenditure being accounted for in year 1.  The plan will operate at 70% capacity in year 3 and 100% in the subsequent years.  Cost of equity is taken to be 30% based on chemical industry companies [26], adjusting for increased risk in South American ventures.  The debt ratio is taken to be 0.4 which allows this project to be financed by corporate bonds that are rated A and above, with a debt cost of capital of 5%.  The resulting weighted average cost of capital is therefore 20%.  The project will be depreciated using MACRS 10 year depreciation [36] which allows larger tax savings in the near-term, resulting in higher project NPV.  The corporate tax rate in Brazil is 34% [37].  Working capital is calculated as seven weeks Cash Cost of Production (CCOP) minus two weeks feed plus 1% of Fixed Capital Cost [26].&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
The total cost of utilities was found using the energy outputs from HYSYS and known costs of natural gas, water, and electricity in Brazil from commodity indices and surveys from the Brazilian government. The results are presented visually in Figure 7 below. The total utility bill comes to $2,424,000 per year.  $1,110,000 from heating gas required to create steam for heating in the process, $1,304,000 in water for both steam generation and cooling water, and approximately $10,000 for electricity to power the pumps and any local offices or break rooms.  One important note to consider is that the price of gas in Brazil has risen 40% in the past three months.  Continuing fluctuations in energy prices could greatly affect these estimates from year to year.&lt;br /&gt;
&lt;br /&gt;
In order to determine the annual cost of utilities, it was necessary to carry out some heat exchanger design calculations and estimations. After surveying the energy requirement of each exchanger, it was determined that cooling water and steam will be the simplest heat transfer fluids to use, due to the relatively small heat requirements and change in temperature of each process stream. In the case of the three reboilers and three condensers, which are designed with the distillation columns, it was only necessary to find a mass flow rate of steam and water respectively. For the cooling water, once the mass flow rate was calculated, this was sufficient to price. For steam, in addition to purchasing the required mass of water, it was necessary to determine the heat required to raise the steam to the required temperatures. For the one cooler and one heater, we also utilized water and steam, and more thorough design was developed in order to accurately price the two exchangers and to help make a pinch analysis viable.&lt;br /&gt;
&lt;br /&gt;
[[File:Fig4.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 7.&#039;&#039; Utilities Breakdown&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
Gross profits are 8.1 $MM from year 4 onward and the project has a simple payback period of 2.6 years.  The project Net Present Value (NPV) for 10 and 15 years is 4.1 $MM and 6.8 $MM.  The expected return on this project (10 year IRR) is 30.3%, indicating this project is highly profitable and can be scaled up for higher NPV.  Accelerating the project schedule to complete the plant in less than 2 years will also greatly increase the NPV.&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
A sensitivity analaysis was carried out for a variety of process parameters. For catalyst, PG, HP and MP Steam prices, best- and worst-case were taken as +/- 10% of the base price.  The project NPV is most sensitive to the price of Propylene Glycol and Glycerol, which is expected as these are the main product and feedstock.  The NPV is also highly sensitive to the cost of capital. The results are presented below, in Figure 8.&lt;br /&gt;
&lt;br /&gt;
[[File:Fig5.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 8.&#039;&#039; Sensitivity Analysis&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
Our economic analysis has proven that the project as it currently stands is highly profitable and will bring in positive cash flow within three years, although there are some existing environmental and safety concerns. Our current plans involve burning an effluent stream in which the key components are hydrogen, ethylene glycol and some fatty acids. In this case an analysis will need to be done in order to determine the extent of the damage to the local air and if a purification step is necessary.  The main safety concerns involve the acid streams and the reactor itself.  Operators will needs to be thoroughly educated on acid burn precaution and treatment procedures due to the acidic requirements of the streams.  The reactor runs at very high pressures and given the exothermic nature of the reaction appropriate steps will need to be taken in order to ensure that runaway reactions can be safely dealt with and pressure relief systems will be put in place. Our economic analysis has proven that the project as it currently stands is highly profitable and will bring in positive cash flow within three years. However, there is definite room for expansion in the design; our low NPV values and high IRR values indicate the ability to leverage economies of scale and dramatically expand our profit margins. As it stands, we recommend maximizing the NPV of the project with full scale optimization. This entails the addition of parallel reaction trains and the inclusion of a heat exchange network to fully maximize our profit margins. A plant layout should be developed along with the inclusion of automated control schemes to better optimize the process operation. The project currently holds great economic potential and with some more detailed engineering, could provide a very high return for our shareholders.&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;br /&gt;
&lt;br /&gt;
1. The Energy Independence and Security Act of 2007: &lt;br /&gt;
One Hundred Tenth Congress of the United States of America.  The Energy Independence and Security Act.  2007.  http://www.gpo.gov/fdsys/pkg/BILLS-110hr6enr/pdf/BILLS-110hr6enr.pdf.  Accessed January 21, 2014.&lt;br /&gt;
&lt;br /&gt;
2.  Summary of Davy Technologies process to convert glycerol to propylene glycol:&lt;br /&gt;
	Davy Technologies.  Propylene Glycol.  Johnson Matthey.  http://www.davyprotech.com/default.aspx?cid=526.  Accessed January 21, 2014.&lt;br /&gt;
&lt;br /&gt;
3. Summary of glycerol market analysis conducted by Transparency Market Research:&lt;br /&gt;
	Transparency Market Research.  Glycerol Market By Source (Biodiesel, Fatty Acids &amp;amp; Fatty Alcohols), By Applications (Personal Care, Alkyd Resins, 	Polyether Polyols, Others), Downstream Opportunities (Propylene Glycol, Epichlorohydrin, 1, 3 Propanediol And Others) - Global Industry Analysis, Size, Share, Trends, Growth And Forecast 2012 - 2018.  http://www.transparencymarketresearch.com/glycerol.market.html.  Published March 13, 2013.  Accessed January 21, 2014.  &lt;br /&gt;
&lt;br /&gt;
4.  Listing of glycerol prices:&lt;br /&gt;
	Alibaba.  Glycerol.  http://www.alibaba.com/trade/search?fsb=y&amp;amp;IndexArea=product_en&amp;amp;CatId=&amp;amp;SearchText=glycerol.  Accessed January 21, 2014.&lt;br /&gt;
&lt;br /&gt;
5. Critical review of top ten biochemicals:&lt;br /&gt;
	Bozell JJ, Petersen GR.  Technology development for the production of biobased products from biorefinery carbohydrates—the US Department of Energy’s “Top 10” revisited.  Green Chemistry. 2010;12:539-554.   &lt;br /&gt;
&lt;br /&gt;
6.  Oleoline glycerol market analysis:&lt;br /&gt;
	Oleoline.  Glycerine Market Report.  HB International SAS.  http://www.oleoline.com/wp-	content/uploads/products/reports/Dec2012_462181.pdf.  Published December 2012.&lt;br /&gt;
&lt;br /&gt;
7.  Summary of different grades of glycerol:&lt;br /&gt;
	SRS International.  Glycerin Specifications.  http://www.srsbiodiesel.com/technologies/glycerin-purification/glycerin-	specifications/.  Accessed January 21, 2014.  &lt;br /&gt;
&lt;br /&gt;
8.  Interview with Dow Chemical on February 13, 2014. &lt;br /&gt;
&lt;br /&gt;
9.   Article regarding propylene glycol market:&lt;br /&gt;
	PRWEB. China to Lead PG Market Through 2017, According to Merchant Research &amp;amp; Consulting Ltd Study Available at MarketPublishers.com.  http://www.prweb.com/releases/2013/8/prweb11057161.htm.  London, UK.  Published August 23, 2013.  Accessed January 21, 2014.  &lt;br /&gt;
&lt;br /&gt;
10.  Summary regarding propylene glycol market and technologies:&lt;br /&gt;
	Chemsystems. PERP Program - Green Glycols and Polyols.   http://www.chemsystems.com/about/cs/news/items/PERP%200910S8_Green%20	Glycols.cfm.  Published 2012.  Accessed January 21, 2014. &lt;br /&gt;
&lt;br /&gt;
11.  UOP Process Technology patent:&lt;br /&gt;
	Bricker et al., inventors; UOP LLC, assignee.  Methods for Converting Glycerol 	to Propanol.  United States patent 8,101,807 B2.  2012 Jan 24.&lt;br /&gt;
&lt;br /&gt;
12.  GTC Technology patent:&lt;br /&gt;
	Ding Z, Chiu J, Weihua J, inventors; GTC Technology US LLC, assignee.  	Process for Converting Glycerin into Propylene Glycol.  United States patent 	8,394,999 B2.  2013 Mar 12. &lt;br /&gt;
&lt;br /&gt;
13.  Davy Process Technology patent:&lt;br /&gt;
	Tuck MWM, inventor; Davy Process Technology Limited, assignee.  Process for the Hydrogenation of Glycerol to Propylene Glycol.  United States patent 	8,227,646 B2. 2012 Jul 24.&lt;br /&gt;
&lt;br /&gt;
14.  Lanzhou Institute patent:&lt;br /&gt;
	Cui et al., inventors; Lanzhou Institute of Chemical Physics, Chinese Academy of Science, assignee.  Method for Producing 1,2-Propylene Glycol using Bio-based Glycerol.  United States patent 7,586,016 B2.  2009 Sep 8.  &lt;br /&gt;
&lt;br /&gt;
15.  Petroleo Brasileiro patent:&lt;br /&gt;
	Rabello et al, inventors; Petroleo Brasileiro S.A. Petrobras, assignee.  Production of Propylene Glycol from Glycerine.  United States patent 2011/0295044 A1.  2011 Dec 1.  &lt;br /&gt;
&lt;br /&gt;
16.  Archer Daniels Midland patent:&lt;br /&gt;
	Bloom, P, inventor; Archer Daniels Midland Company, assignee.  Hydrogenolysis of Glycerol and Products Produced Therefrom.  United States patent 7,928,148 	B2.  2011 Apr 19.&lt;br /&gt;
&lt;br /&gt;
17.  EPA regulatory announcement regarding renewable fuel standards in 2014 and 2015:&lt;br /&gt;
	United States Environmental Protection Agency: Office of Transportation and Air Quality. EPA Proposes 2014 Renewable Fuel Standards, 2015 Biomass-Based	Diesel Volume. EPA-420-F-13-048. http://www.epa.gov/otaq/fuels/renewablefuels/documents/420f13048.pdf. November 2013.  &lt;br /&gt;
&lt;br /&gt;
18.  Corporate tax rate comparisons across countries:&lt;br /&gt;
	KPMG.  Corporate Tax Rates Table.http://www.kpmg.com/global/en/services/tax/tax-tools-and-resources/pages/corporate-tax-rates-table.aspx.  Published 2014.  Accessed January 24, 2014.  &lt;br /&gt;
&lt;br /&gt;
19.  Weather information on Salvador, Bahia, Brazil:&lt;br /&gt;
	World Weather Information Service.  Weather Information for Salvador. http://worldweather.wmo.int/136/c01081f.htm#climate.  Accessed January 24, 2014.&lt;br /&gt;
&lt;br /&gt;
20.  Dow Chemical Product Safety Assessment on Propylene Glycol: &lt;br /&gt;
	The Dow Chemical Company.  Product Safety Assessment: DOW Propylene Glycol.  http://msdssearch.dow.com/PublishedLiteratureDOWCOM/dh_043a/0901b80380	43a596.pdf?filepath=propyleneglycol/pdfs/noreg/117-01807.pdf&amp;amp;fromPage=GetDoc.  Revised: October 3, 2013.  Accessed January 24, 2014.  &lt;br /&gt;
&lt;br /&gt;
21.  ICIS article on current facilities running glycerol to propylene glycol technology:&lt;br /&gt;
	Guzman D. Oleochemicals: Oleon enters glycerin-based propylene glycol. ICIS Chemical Business.  http://www.icis.com/resources/news/2012/07/16/9577645/oleochemicals-oleon-enters-glycerin-based-propylene-glycol/. 16 July 2012.  Accessed January 21, 2014.&lt;br /&gt;
&lt;br /&gt;
22. Products | Dow Propylene Glycol&lt;br /&gt;
http://www.dow.com/propyleneglycol/products/. Accessed January 21, 2014&lt;br /&gt;
&lt;br /&gt;
23. MEG Sales Specifications | MEGlobal&lt;br /&gt;
http://www.meglobal.biz/monoethylene-glycol/sales-specs. Accessed February 21, 2014.&lt;br /&gt;
&lt;br /&gt;
24. Interview with process consultant Dave Wegerer on February 25, 2014.&lt;br /&gt;
&lt;br /&gt;
25.  Kostick, Dennis.  Sodium Sulfate http://minerals.usgs.gov/minerals/pubs/commodity/sodium_sulfate/620496.pdf&lt;br /&gt;
&lt;br /&gt;
26. Towler, Gavin P., and R. K. Sinnott. Chemical Engineering Design: Principles, Practice and Economics of Plant and Process Design. Amsterdam: Elsevier/Butterworth-Heinemann, 2008. Print.&lt;br /&gt;
&lt;br /&gt;
27.  Oanada.  Historical Exchange Rates.   http://www.oanda.com/currency/historical-rates/&lt;br /&gt;
&lt;br /&gt;
28.  Bloomberg.  Brazil-USD exchange Rate. http://www.bloomberg.com/quote/BRLUSD:CUR&lt;br /&gt;
&lt;br /&gt;
29.  ICIS Chemical Business.  Chemical Profile Hydrogen.   http://www.icis.com/resources/news/2005/12/08/190713/chemical-profile-hydrogen/&lt;br /&gt;
&lt;br /&gt;
30.  Caustic Soda Latin America. Caustic Soda Markets and Analysis  http://www.icis.com/chemicals/caustic-soda/latin-america/?tab=tbc-tab2&lt;br /&gt;
&lt;br /&gt;
31.  Indicative Chemical Prices http://www.icis.com/chemicals/channel-info-chemicals-a-z/&lt;br /&gt;
&lt;br /&gt;
32.  Engelhard Industiral Bullion (EIB) Prices http://apps.catalysts.basf.com/apps/eibprices/mp/&lt;br /&gt;
&lt;br /&gt;
33.  London Metal Exchange.  LME Official Prices.  https://www.lme.com/en-gb/metals/minor-metals/cobalt/&lt;br /&gt;
&lt;br /&gt;
34.  Sigma Aldrich.  Alternatives for product 39988 Activated Charcoal Norit (FLUKA) http://www.sigmaaldrich.com/catalog/Replacement.do?productNumber=39988&amp;amp;brand=FLUKA&amp;amp;matNo=&amp;amp;fromUrl=http%3A//www.sigmaaldrich.com/catalog/product/fluka/39988%3Flang%3Den%26region%3DUS&amp;amp;fromUrlLabel=product%20details&lt;br /&gt;
&lt;br /&gt;
35.  Bloomberg Business Journal.  “Brazilian Power Price Surges to Record Amid Dry Spell” http://www.bloomberg.com/news/2014-01-31/brazilian-power-price-surges-to-record-amid-dry-spell.html&lt;br /&gt;
&lt;br /&gt;
36.  IRS. Figure depreciation under MACRS. http://www.irs.gov/publications/p946/ch04.html&lt;br /&gt;
&lt;br /&gt;
37.  KPMG.  Corporate tax rates table.  http://www.kpmg.com/global/en/services/tax/tax-tools-and-resources/pages/corporate-tax-rates-table.aspx&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1491</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1491"/>
		<updated>2014-03-12T06:08:00Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Works Cited */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Figure 1, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
[[File:Glycerol.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1. Global glycerine production in various industrial sectors.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations. &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 2.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 2.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 3.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol.&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 3.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Figure 4.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
&lt;br /&gt;
[[File:PFD_final.png|1100px]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 4. Process Flow Diagram for the production of propylene glycol.&#039;&#039;&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
Figure 5 below shows the approximated costs of each of the pieces of equipment calculated using Aspen Economic Evaluator v7.3.1.  The major components running through the equipment are not corrosive, except basic water.  In addition most of the vessels are under fairly standard temperatures and pressures.  The key exception is the jacketed reactor, which is subject to extreme conditions.  The selection of SS407 allowed for a cheaper reactor as compared to SS304 due to the higher tensile strength.  The total ISBL equipment cost is 4.8 $MM in 2010 Gulf Coast USD.  The NF cost index is 2250 in 2010 and will conservatively be 2050 in 2014 [26], which adjusts project cost to 5.33 $MM in 2014 Gulf Coast USD.  The 2003 location factor for Brazil is 1.14 [26], and the exchange rate in 2003 was 1 Real = $.3402 [27].  The average rate for the past 3 months has been 1 Real = $.427 [28].  The adjusted capital cost for Brazil in 2014 is therefore 7.63 $MM.  Since the project is large-volume chemical on a new site, OSBL is taken as 40% of ISBL, or 3.05 $MM.  Engineering and contingency costs are taken as 10 and 15%, respectively, of combined ISBL and OSBL costs.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EquipCosts.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 5.&#039;&#039; Equipment Cost Breakdown&lt;br /&gt;
&lt;br /&gt;
=Prices=&lt;br /&gt;
&lt;br /&gt;
The price of feedstocks crude glycerol and hydrogen are $200/t [4, 5] and $1100/t [29].  The price of products propylene glycol and ethylene glycol are $2557/t [8] and $1400/t [23].  The price of consumables NaOH and H2SO4 are $635/t [30] and $80/t [31].  The catalyst must be replaced every 2 years, at a cost of 5.13 $MM [32, 33, 34].  The price of electricity has been fluctuating recently due to lack of rainfall, and is taken as 0.202 $/kWh [35].  Utilities prices for high pressure steam, medium pressure steam, and cooling water are $14.3/t, $12/t, and $.024/t, respectively [26].&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
Based on the plant size, three shift positions with 4.8 operators per shift will comprise the operating labor.  A salary of $35,000 is a reasonable estimate of operator wages in Brazil.  Supervision is taken as 25% of operating labor, and direct overhead is 45% of labor and supervision.  Maintenance is taken as 3% of ISBL Cost, and plant overhead is 65% of labor and maintenance costs.  Property and local tax and insurance are both typically 1% of ISBL plus OSBL Cost.  Repayment of debt associated with fixed investment is accounted for in the weighted average cost of capital so 0% is taken as fixed cost of production.  However, working capital will be funded entirely by debt, so 5% interest of working capital is taken as interest on debt financing.  &lt;br /&gt;
&lt;br /&gt;
The plant is scheduled to be constructed over two years, with 40% of capital expenditure being accounted for in year 1.  The plan will operate at 70% capacity in year 3 and 100% in the subsequent years.  Cost of equity is taken to be 30% based on chemical industry companies [26], adjusting for increased risk in South American ventures.  The debt ratio is taken to be 0.4 which allows this project to be financed by corporate bonds that are rated A and above, with a debt cost of capital of 5%.  The resulting weighted average cost of capital is therefore 20%.  The project will be depreciated using MACRS 10 year depreciation [36] which allows larger tax savings in the near-term, resulting in higher project NPV.  The corporate tax rate in Brazil is 34% [37].  Working capital is calculated as seven weeks Cash Cost of Production (CCOP) minus two weeks feed plus 1% of Fixed Capital Cost [26].&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
The total cost of utilities was found using the energy outputs from HYSYS and known costs of natural gas, water, and electricity in Brazil from commodity indices and surveys from the Brazilian government. The results are presented visually in Figure 6 below. The total utility bill comes to $2,424,000 per year.  $1,110,000 from heating gas required to create steam for heating in the process, $1,304,000 in water for both steam generation and cooling water, and approximately $10,000 for electricity to power the pumps and any local offices or break rooms.  One important note to consider is that the price of gas in Brazil has risen 40% in the past three months.  Continuing fluctuations in energy prices could greatly affect these estimates from year to year.&lt;br /&gt;
&lt;br /&gt;
In order to determine the annual cost of utilities, it was necessary to carry out some heat exchanger design calculations and estimations. After surveying the energy requirement of each exchanger, it was determined that cooling water and steam will be the simplest heat transfer fluids to use, due to the relatively small heat requirements and change in temperature of each process stream. In the case of the three reboilers and three condensers, which are designed with the distillation columns, it was only necessary to find a mass flow rate of steam and water respectively. For the cooling water, once the mass flow rate was calculated, this was sufficient to price. For steam, in addition to purchasing the required mass of water, it was necessary to determine the heat required to raise the steam to the required temperatures. For the one cooler and one heater, we also utilized water and steam, and more thorough design was developed in order to accurately price the two exchangers and to help make a pinch analysis viable.&lt;br /&gt;
&lt;br /&gt;
[[File:Fig4.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 6.&#039;&#039; Utilities Breakdown&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
Gross profits are 8.1 $MM from year 4 onward and the project has a simple payback period of 2.6 years.  The project Net Present Value (NPV) for 10 and 15 years is 4.1 $MM and 6.8 $MM.  The expected return on this project (10 year IRR) is 30.3%, indicating this project is highly profitable and can be scaled up for higher NPV.  Accelerating the project schedule to complete the plant in less than 2 years will also greatly increase the NPV.&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
A sensitivity analaysis was carried out for a variety of process parameters. For catalyst, PG, HP and MP Steam prices, best- and worst-case were taken as +/- 10% of the base price.  The project NPV is most sensitive to the price of Propylene Glycol and Glycerol, which is expected as these are the main product and feedstock.  The NPV is also highly sensitive to the cost of capital. The results are presented below, in Figure 7.&lt;br /&gt;
&lt;br /&gt;
[[File:Fig5.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 7.&#039;&#039; Sensitivity Analysis&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
Our economic analysis has proven that the project as it currently stands is highly profitable and will bring in positive cash flow within three years, although there are some existing environmental and safety concerns. Our current plans involve burning an effluent stream in which the key components are hydrogen, ethylene glycol and some fatty acids. In this case an analysis will need to be done in order to determine the extent of the damage to the local air and if a purification step is necessary.  The main safety concerns involve the acid streams and the reactor itself.  Operators will needs to be thoroughly educated on acid burn precaution and treatment procedures due to the acidic requirements of the streams.  The reactor runs at very high pressures and given the exothermic nature of the reaction appropriate steps will need to be taken in order to ensure that runaway reactions can be safely dealt with and pressure relief systems will be put in place. Our economic analysis has proven that the project as it currently stands is highly profitable and will bring in positive cash flow within three years. However, there is definite room for expansion in the design; our low NPV values and high IRR values indicate the ability to leverage economies of scale and dramatically expand our profit margins. As it stands, we recommend maximizing the NPV of the project with full scale optimization. This entails the addition of parallel reaction trains and the inclusion of a heat exchange network to fully maximize our profit margins. A plant layout should be developed along with the inclusion of automated control schemes to better optimize the process operation. The project currently holds great economic potential and with some more detailed engineering, could provide a very high return for our shareholders.&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;br /&gt;
&lt;br /&gt;
1. The Energy Independence and Security Act of 2007:&lt;br /&gt;
	One Hundred Tenth Congress of the United States of America.  The Energy 	Independence and Security Act.  2007.  http://www.gpo.gov/fdsys/pkg/BILLS-	110hr6enr/pdf/BILLS-110hr6enr.pdf.  Accessed January 21, 2014.&lt;br /&gt;
&lt;br /&gt;
2.  Summary of Davy Technologies process to convert glycerol to propylene glycol:&lt;br /&gt;
	Davy Technologies.  Propylene Glycol.  Johnson Matthey.  	http://www.davyprotech.com/default.aspx?cid=526.  Accessed January 21, 2014.&lt;br /&gt;
&lt;br /&gt;
3. Summary of glycerol market analysis conducted by Transparency Market Research:&lt;br /&gt;
	Transparency Market Research.  Glycerol Market By Source (Biodiesel, Fatty 	Acids &amp;amp; Fatty Alcohols), By Applications (Personal Care, Alkyd Resins, 	Polyether Polyols, Others), Downstream Opportunities (Propylene Glycol, 	Epichlorohydrin, 1, 3 Propanediol And Others) - Global Industry Analysis, Size, 	Share, Trends, Growth And Forecast 2012 - 2018.  &lt;br /&gt;
	http://www.transparencymarketresearch.com/glycerol.market.html.  	Published March 13, 2013.  Accessed January 21, 2014.  &lt;br /&gt;
&lt;br /&gt;
4.  Listing of glycerol prices:&lt;br /&gt;
	Alibaba.  Glycerol.  	http://www.alibaba.com/trade/search?fsb=y&amp;amp;IndexArea=product_en&amp;amp;CatId=&amp;amp;Se	archText=glycerol.  Accessed January 21, 2014.&lt;br /&gt;
&lt;br /&gt;
5. Critical review of top ten biochemicals:&lt;br /&gt;
	Bozell JJ, Petersen GR.  Technology development for the production of biobased 	products from biorefinery carbohydrates—the US Department of Energy’s “Top 	10” revisited.  Green Chemistry. 2010;12:539-554.   &lt;br /&gt;
&lt;br /&gt;
6.  Oleoline glycerol market analysis:&lt;br /&gt;
	Oleoline.  Glycerine Market Report.  HB International SAS.  	http://www.oleoline.com/wp-	content/uploads/products/reports/Dec2012_462181.pdf.  Published December 	2012.&lt;br /&gt;
&lt;br /&gt;
7.  Summary of different grades of glycerol:&lt;br /&gt;
	SRS International.  Glycerin Specifications.  	http://www.srsbiodiesel.com/technologies/glycerin-purification/glycerin-	specifications/.  Accessed January 21, 2014.  &lt;br /&gt;
&lt;br /&gt;
8.  Interview with Dow Chemical on February 13, 2014. &lt;br /&gt;
&lt;br /&gt;
9.   Article regarding propylene glycol market:&lt;br /&gt;
	PRWEB. China to Lead PG Market Through 2017, According to Merchant 	Research &amp;amp; Consulting Ltd Study Available at MarketPublishers.com.  &lt;br /&gt;
	http://www.prweb.com/releases/2013/8/prweb11057161.htm.  London, 	UK.  Published August 23, 2013.  Accessed January 21, 2014.  &lt;br /&gt;
&lt;br /&gt;
10.  Summary regarding propylene glycol market and technologies:&lt;br /&gt;
	Chemsystems. PERP Program - Green Glycols and Polyols.   	http://www.chemsystems.com/about/cs/news/items/PERP%200910S8_Green%20	Glycols.cfm.  Published 2012.  Accessed January 21, 2014. &lt;br /&gt;
&lt;br /&gt;
11.  UOP Process Technology patent:&lt;br /&gt;
	Bricker et al., inventors; UOP LLC, assignee.  Methods for Converting Glycerol 	to Propanol.  United States patent 8,101,807 B2.  2012 Jan 24.&lt;br /&gt;
&lt;br /&gt;
12.  GTC Technology patent:&lt;br /&gt;
	Ding Z, Chiu J, Weihua J, inventors; GTC Technology US LLC, assignee.  	Process for Converting Glycerin into Propylene Glycol.  United States patent 	8,394,999 B2.  2013 Mar 12. &lt;br /&gt;
&lt;br /&gt;
13.  Davy Process Technology patent:&lt;br /&gt;
	Tuck MWM, inventor; Davy Process Technology Limited, assignee.  Process for 	the Hydrogenation of Glycerol to Propylene Glycol.  United States patent 	8,227,646 B2. 2012 Jul 24.&lt;br /&gt;
&lt;br /&gt;
14.  Lanzhou Institute patent:&lt;br /&gt;
	Cui et al., inventors; Lanzhou Institute of Chemical Physics, Chinese Academy of 	Science, assignee.  Method for Producing 1,2-Propylene Glycol using Bio-based 	Glycerol.  United States patent 7,586,016 B2.  2009 Sep 8.  &lt;br /&gt;
&lt;br /&gt;
15.  Petroleo Brasileiro patent:&lt;br /&gt;
	Rabello et al, inventors; Petroleo Brasileiro S.A. Petrobras, assignee.  Production 	of Propylene Glycol from Glycerine.  United States patent 2011/0295044 A1.  	2011 Dec 1.  &lt;br /&gt;
&lt;br /&gt;
16.  Archer Daniels Midland patent:&lt;br /&gt;
	Bloom, P, inventor; Archer Daniels Midland Company, assignee.  Hydrogenolysis 	of Glycerol and Products Produced Therefrom.  United States patent 7,928,148 	B2.  2011 Apr 19.&lt;br /&gt;
&lt;br /&gt;
17.  EPA regulatory announcement regarding renewable fuel standards in 2014 and 2015:&lt;br /&gt;
	United States Environmental Protection Agency: Office of Transportation and Air 	Quality. EPA Proposes 2014 Renewable Fuel Standards, 2015 Biomass-Based &lt;br /&gt;
	Diesel Volume. EPA-420-F-13-048. 	http://www.epa.gov/otaq/fuels/renewablefuels/documents/420f13048.pdf. 	November 2013.  &lt;br /&gt;
&lt;br /&gt;
18.  Corporate tax rate comparisons across countries:&lt;br /&gt;
	KPMG.  Corporate Tax Rates Table.&lt;br /&gt;
	http://www.kpmg.com/global/en/services/tax/tax-tools-and-	resources/pages/corporate-tax-rates-table.aspx.  Published 2014.  Accessed 	January 24, 2014.  &lt;br /&gt;
&lt;br /&gt;
19.  Weather information on Salvador, Bahia, Brazil:&lt;br /&gt;
	World Weather Information Service.  Weather Information for Salvador. 	http://worldweather.wmo.int/136/c01081f.htm#climate.  Accessed January 24, 	2014.&lt;br /&gt;
&lt;br /&gt;
20.  Dow Chemical Product Safety Assessment on Propylene Glycol: &lt;br /&gt;
	The Dow Chemical Company.  Product Safety Assessment: DOW Propylene 		Glycol.  	http://msdssearch.dow.com/PublishedLiteratureDOWCOM/dh_043a/0901b80380	43a596.pdf?filepath=propyleneglycol/pdfs/noreg/117-	01807.pdf&amp;amp;fromPage=GetDoc.  Revised: October 3, 2013.  Accessed January 24, 	2014.  &lt;br /&gt;
&lt;br /&gt;
21.  ICIS article on current facilities running glycerol to propylene glycol technology:&lt;br /&gt;
	Guzman D. Oleochemicals: Oleon enters glycerin-based propylene glycol. ICIS 	Chemical Business.  	http://www.icis.com/resources/news/2012/07/16/9577645/oleochemicals-oleon-	enters-glycerin-based-propylene-glycol/. 16 July 2012.  Accessed January 21, 	2014.&lt;br /&gt;
22. Products | Dow Propylene Glycol&lt;br /&gt;
http://www.dow.com/propyleneglycol/products/. Accessed January 21, 2014&lt;br /&gt;
&lt;br /&gt;
23. MEG Sales Specifications | MEGlobal&lt;br /&gt;
http://www.meglobal.biz/monoethylene-glycol/sales-specs. Accessed February 21, 2014.&lt;br /&gt;
&lt;br /&gt;
24. Interview with process consultant Dave Wegerer on February 25, 2014.&lt;br /&gt;
&lt;br /&gt;
25.  Kostick, Dennis.  Sodium Sulfate http://minerals.usgs.gov/minerals/pubs/commodity/sodium_sulfate/620496.pdf&lt;br /&gt;
&lt;br /&gt;
26. Towler, Gavin P., and R. K. Sinnott. Chemical Engineering Design: Principles, Practice and Economics of Plant and Process Design. 	Amsterdam: Elsevier/Butterworth-Heinemann, 2008. Print.&lt;br /&gt;
&lt;br /&gt;
27.  Oanada.  Historical Exchange Rates.   http://www.oanda.com/currency/historical-rates/&lt;br /&gt;
&lt;br /&gt;
28.  Bloomberg.  Brazil-USD exchange Rate. http://www.bloomberg.com/quote/BRLUSD:CUR&lt;br /&gt;
&lt;br /&gt;
29.  ICIS Chemical Business.  Chemical Profile Hydrogen.   http://www.icis.com/resources/news/2005/12/08/190713/chemical-profile-hydrogen/&lt;br /&gt;
&lt;br /&gt;
30.  Caustic Soda Latin America. Caustic Soda Markets and Analysis  http://www.icis.com/chemicals/caustic-soda/latin-america/?tab=tbc-tab2&lt;br /&gt;
&lt;br /&gt;
31.  Indicative Chemical Prices http://www.icis.com/chemicals/channel-info-chemicals-a-z/&lt;br /&gt;
&lt;br /&gt;
32.  Engelhard Industiral Bullion (EIB) Prices http://apps.catalysts.basf.com/apps/eibprices/mp/&lt;br /&gt;
&lt;br /&gt;
33.  London Metal Exchange.  LME Official Prices.  https://www.lme.com/en-gb/metals/minor-metals/cobalt/&lt;br /&gt;
&lt;br /&gt;
34.  Sigma Aldrich.  Alternatives for product 39988 Activated Charcoal Norit (FLUKA) http://www.sigmaaldrich.com/catalog/Replacement.do?productNumber=39988&amp;amp;brand=FLUKA&amp;amp;matNo=&amp;amp;fromUrl=http%3A//www.sigmaaldrich.com/catalog/product/fluka/39988%3Flang%3Den%26region%3DUS&amp;amp;fromUrlLabel=product%20details&lt;br /&gt;
&lt;br /&gt;
35.  Bloomberg Business Journal.  “Brazilian Power Price Surges to Record Amid Dry Spell” http://www.bloomberg.com/news/2014-01-31/brazilian-power-price-surges-to-record-amid-dry-spell.html&lt;br /&gt;
&lt;br /&gt;
36.  IRS. Figure depreciation under MACRS. http://www.irs.gov/publications/p946/ch04.html&lt;br /&gt;
&lt;br /&gt;
37.  KPMG.  Corporate tax rates table.  http://www.kpmg.com/global/en/services/tax/tax-tools-and-resources/pages/corporate-tax-rates-table.aspx&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1490</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1490"/>
		<updated>2014-03-12T06:07:15Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Works Cited */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Figure 1, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
[[File:Glycerol.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1. Global glycerine production in various industrial sectors.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations. &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 2.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 2.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 3.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol.&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 3.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Figure 4.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
&lt;br /&gt;
[[File:PFD_final.png|1100px]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 4. Process Flow Diagram for the production of propylene glycol.&#039;&#039;&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
Figure 5 below shows the approximated costs of each of the pieces of equipment calculated using Aspen Economic Evaluator v7.3.1.  The major components running through the equipment are not corrosive, except basic water.  In addition most of the vessels are under fairly standard temperatures and pressures.  The key exception is the jacketed reactor, which is subject to extreme conditions.  The selection of SS407 allowed for a cheaper reactor as compared to SS304 due to the higher tensile strength.  The total ISBL equipment cost is 4.8 $MM in 2010 Gulf Coast USD.  The NF cost index is 2250 in 2010 and will conservatively be 2050 in 2014 [26], which adjusts project cost to 5.33 $MM in 2014 Gulf Coast USD.  The 2003 location factor for Brazil is 1.14 [26], and the exchange rate in 2003 was 1 Real = $.3402 [27].  The average rate for the past 3 months has been 1 Real = $.427 [28].  The adjusted capital cost for Brazil in 2014 is therefore 7.63 $MM.  Since the project is large-volume chemical on a new site, OSBL is taken as 40% of ISBL, or 3.05 $MM.  Engineering and contingency costs are taken as 10 and 15%, respectively, of combined ISBL and OSBL costs.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EquipCosts.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 5.&#039;&#039; Equipment Cost Breakdown&lt;br /&gt;
&lt;br /&gt;
=Prices=&lt;br /&gt;
&lt;br /&gt;
The price of feedstocks crude glycerol and hydrogen are $200/t [4, 5] and $1100/t [29].  The price of products propylene glycol and ethylene glycol are $2557/t [8] and $1400/t [23].  The price of consumables NaOH and H2SO4 are $635/t [30] and $80/t [31].  The catalyst must be replaced every 2 years, at a cost of 5.13 $MM [32, 33, 34].  The price of electricity has been fluctuating recently due to lack of rainfall, and is taken as 0.202 $/kWh [35].  Utilities prices for high pressure steam, medium pressure steam, and cooling water are $14.3/t, $12/t, and $.024/t, respectively [26].&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
Based on the plant size, three shift positions with 4.8 operators per shift will comprise the operating labor.  A salary of $35,000 is a reasonable estimate of operator wages in Brazil.  Supervision is taken as 25% of operating labor, and direct overhead is 45% of labor and supervision.  Maintenance is taken as 3% of ISBL Cost, and plant overhead is 65% of labor and maintenance costs.  Property and local tax and insurance are both typically 1% of ISBL plus OSBL Cost.  Repayment of debt associated with fixed investment is accounted for in the weighted average cost of capital so 0% is taken as fixed cost of production.  However, working capital will be funded entirely by debt, so 5% interest of working capital is taken as interest on debt financing.  &lt;br /&gt;
&lt;br /&gt;
The plant is scheduled to be constructed over two years, with 40% of capital expenditure being accounted for in year 1.  The plan will operate at 70% capacity in year 3 and 100% in the subsequent years.  Cost of equity is taken to be 30% based on chemical industry companies [26], adjusting for increased risk in South American ventures.  The debt ratio is taken to be 0.4 which allows this project to be financed by corporate bonds that are rated A and above, with a debt cost of capital of 5%.  The resulting weighted average cost of capital is therefore 20%.  The project will be depreciated using MACRS 10 year depreciation [36] which allows larger tax savings in the near-term, resulting in higher project NPV.  The corporate tax rate in Brazil is 34% [37].  Working capital is calculated as seven weeks Cash Cost of Production (CCOP) minus two weeks feed plus 1% of Fixed Capital Cost [26].&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
The total cost of utilities was found using the energy outputs from HYSYS and known costs of natural gas, water, and electricity in Brazil from commodity indices and surveys from the Brazilian government. The results are presented visually in Figure 6 below. The total utility bill comes to $2,424,000 per year.  $1,110,000 from heating gas required to create steam for heating in the process, $1,304,000 in water for both steam generation and cooling water, and approximately $10,000 for electricity to power the pumps and any local offices or break rooms.  One important note to consider is that the price of gas in Brazil has risen 40% in the past three months.  Continuing fluctuations in energy prices could greatly affect these estimates from year to year.&lt;br /&gt;
&lt;br /&gt;
In order to determine the annual cost of utilities, it was necessary to carry out some heat exchanger design calculations and estimations. After surveying the energy requirement of each exchanger, it was determined that cooling water and steam will be the simplest heat transfer fluids to use, due to the relatively small heat requirements and change in temperature of each process stream. In the case of the three reboilers and three condensers, which are designed with the distillation columns, it was only necessary to find a mass flow rate of steam and water respectively. For the cooling water, once the mass flow rate was calculated, this was sufficient to price. For steam, in addition to purchasing the required mass of water, it was necessary to determine the heat required to raise the steam to the required temperatures. For the one cooler and one heater, we also utilized water and steam, and more thorough design was developed in order to accurately price the two exchangers and to help make a pinch analysis viable.&lt;br /&gt;
&lt;br /&gt;
[[File:Fig4.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 6.&#039;&#039; Utilities Breakdown&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
Gross profits are 8.1 $MM from year 4 onward and the project has a simple payback period of 2.6 years.  The project Net Present Value (NPV) for 10 and 15 years is 4.1 $MM and 6.8 $MM.  The expected return on this project (10 year IRR) is 30.3%, indicating this project is highly profitable and can be scaled up for higher NPV.  Accelerating the project schedule to complete the plant in less than 2 years will also greatly increase the NPV.&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
A sensitivity analaysis was carried out for a variety of process parameters. For catalyst, PG, HP and MP Steam prices, best- and worst-case were taken as +/- 10% of the base price.  The project NPV is most sensitive to the price of Propylene Glycol and Glycerol, which is expected as these are the main product and feedstock.  The NPV is also highly sensitive to the cost of capital. The results are presented below, in Figure 7.&lt;br /&gt;
&lt;br /&gt;
[[File:Fig5.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 7.&#039;&#039; Sensitivity Analysis&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
Our economic analysis has proven that the project as it currently stands is highly profitable and will bring in positive cash flow within three years, although there are some existing environmental and safety concerns. Our current plans involve burning an effluent stream in which the key components are hydrogen, ethylene glycol and some fatty acids. In this case an analysis will need to be done in order to determine the extent of the damage to the local air and if a purification step is necessary.  The main safety concerns involve the acid streams and the reactor itself.  Operators will needs to be thoroughly educated on acid burn precaution and treatment procedures due to the acidic requirements of the streams.  The reactor runs at very high pressures and given the exothermic nature of the reaction appropriate steps will need to be taken in order to ensure that runaway reactions can be safely dealt with and pressure relief systems will be put in place. Our economic analysis has proven that the project as it currently stands is highly profitable and will bring in positive cash flow within three years. However, there is definite room for expansion in the design; our low NPV values and high IRR values indicate the ability to leverage economies of scale and dramatically expand our profit margins. As it stands, we recommend maximizing the NPV of the project with full scale optimization. This entails the addition of parallel reaction trains and the inclusion of a heat exchange network to fully maximize our profit margins. A plant layout should be developed along with the inclusion of automated control schemes to better optimize the process operation. The project currently holds great economic potential and with some more detailed engineering, could provide a very high return for our shareholders.&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;br /&gt;
&lt;br /&gt;
1. The Energy Independence and Security Act of 2007:&lt;br /&gt;
	One Hundred Tenth Congress of the United States of America.  The Energy 	Independence and Security Act.  2007.  http://www.gpo.gov/fdsys/pkg/BILLS-	110hr6enr/pdf/BILLS-110hr6enr.pdf.  Accessed January 21, 2014.&lt;br /&gt;
&lt;br /&gt;
2.  Summary of Davy Technologies process to convert glycerol to propylene glycol:&lt;br /&gt;
	Davy Technologies.  Propylene Glycol.  Johnson Matthey.  	http://www.davyprotech.com/default.aspx?cid=526.  Accessed January 21, 2014.&lt;br /&gt;
&lt;br /&gt;
3. Summary of glycerol market analysis conducted by Transparency Market Research:&lt;br /&gt;
	Transparency Market Research.  Glycerol Market By Source (Biodiesel, Fatty 	Acids &amp;amp; Fatty Alcohols), By Applications (Personal Care, Alkyd Resins, 	Polyether Polyols, Others), Downstream Opportunities (Propylene Glycol, 	Epichlorohydrin, 1, 3 Propanediol And Others) - Global Industry Analysis, Size, 	Share, Trends, Growth And Forecast 2012 - 2018.  &lt;br /&gt;
	http://www.transparencymarketresearch.com/glycerol.market.html.  	Published March 13, 2013.  Accessed January 21, 2014.  &lt;br /&gt;
&lt;br /&gt;
4.  Listing of glycerol prices:&lt;br /&gt;
	Alibaba.  Glycerol.  	http://www.alibaba.com/trade/search?fsb=y&amp;amp;IndexArea=product_en&amp;amp;CatId=&amp;amp;Se	archText=glycerol.  Accessed January 21, 2014.&lt;br /&gt;
&lt;br /&gt;
5. Critical review of top ten biochemicals:&lt;br /&gt;
	Bozell JJ, Petersen GR.  Technology development for the production of biobased 	products from biorefinery carbohydrates—the US Department of Energy’s “Top 	10” revisited.  Green Chemistry. 2010;12:539-554.   &lt;br /&gt;
&lt;br /&gt;
6.  Oleoline glycerol market analysis:&lt;br /&gt;
	Oleoline.  Glycerine Market Report.  HB International SAS.  	http://www.oleoline.com/wp-	content/uploads/products/reports/Dec2012_462181.pdf.  Published December 	2012.&lt;br /&gt;
&lt;br /&gt;
7.  Summary of different grades of glycerol:&lt;br /&gt;
	SRS International.  Glycerin Specifications.  	http://www.srsbiodiesel.com/technologies/glycerin-purification/glycerin-	specifications/.  Accessed January 21, 2014.  &lt;br /&gt;
&lt;br /&gt;
8.  Interview with Dow Chemical on February 13, 2014. &lt;br /&gt;
&lt;br /&gt;
9.   Article regarding propylene glycol market:&lt;br /&gt;
	PRWEB. China to Lead PG Market Through 2017, According to Merchant 	Research &amp;amp; Consulting Ltd Study Available at MarketPublishers.com.  &lt;br /&gt;
	http://www.prweb.com/releases/2013/8/prweb11057161.htm.  London, 	UK.  Published August 23, 2013.  Accessed January 21, 2014.  &lt;br /&gt;
&lt;br /&gt;
10.  Summary regarding propylene glycol market and technologies:&lt;br /&gt;
	Chemsystems. PERP Program - Green Glycols and Polyols.   	http://www.chemsystems.com/about/cs/news/items/PERP%200910S8_Green%20	Glycols.cfm.  Published 2012.  Accessed January 21, 2014. &lt;br /&gt;
&lt;br /&gt;
11.  UOP Process Technology patent:&lt;br /&gt;
	Bricker et al., inventors; UOP LLC, assignee.  Methods for Converting Glycerol 	to Propanol.  United States patent 8,101,807 B2.  2012 Jan 24.&lt;br /&gt;
&lt;br /&gt;
12.  GTC Technology patent:&lt;br /&gt;
	Ding Z, Chiu J, Weihua J, inventors; GTC Technology US LLC, assignee.  	Process for Converting Glycerin into Propylene Glycol.  United States patent 	8,394,999 B2.  2013 Mar 12. &lt;br /&gt;
&lt;br /&gt;
13.  Davy Process Technology patent:&lt;br /&gt;
	Tuck MWM, inventor; Davy Process Technology Limited, assignee.  Process for 	the Hydrogenation of Glycerol to Propylene Glycol.  United States patent 	8,227,646 B2. 2012 Jul 24.&lt;br /&gt;
&lt;br /&gt;
14.  Lanzhou Institute patent:&lt;br /&gt;
	Cui et al., inventors; Lanzhou Institute of Chemical Physics, Chinese Academy of 	Science, assignee.  Method for Producing 1,2-Propylene Glycol using Bio-based 	Glycerol.  United States patent 7,586,016 B2.  2009 Sep 8.  &lt;br /&gt;
&lt;br /&gt;
15.  Petroleo Brasileiro patent:&lt;br /&gt;
	Rabello et al, inventors; Petroleo Brasileiro S.A. Petrobras, assignee.  Production 	of Propylene Glycol from Glycerine.  United States patent 2011/0295044 A1.  	2011 Dec 1.  &lt;br /&gt;
&lt;br /&gt;
16.  Archer Daniels Midland patent:&lt;br /&gt;
	Bloom, P, inventor; Archer Daniels Midland Company, assignee.  Hydrogenolysis 	of Glycerol and Products Produced Therefrom.  United States patent 7,928,148 	B2.  2011 Apr 19.&lt;br /&gt;
&lt;br /&gt;
17.  EPA regulatory announcement regarding renewable fuel standards in 2014 and 2015:&lt;br /&gt;
	United States Environmental Protection Agency: Office of Transportation and Air 	Quality. EPA Proposes 2014 Renewable Fuel Standards, 2015 Biomass-Based &lt;br /&gt;
	Diesel Volume. EPA-420-F-13-048. 	http://www.epa.gov/otaq/fuels/renewablefuels/documents/420f13048.pdf. 	November 2013.  &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
18.  Corporate tax rate comparisons across countries:&lt;br /&gt;
	KPMG.  Corporate Tax Rates Table.&lt;br /&gt;
	http://www.kpmg.com/global/en/services/tax/tax-tools-and-	resources/pages/corporate-tax-rates-table.aspx.  Published 2014.  Accessed 	January 24, 2014.  &lt;br /&gt;
&lt;br /&gt;
19.  Weather information on Salvador, Bahia, Brazil:&lt;br /&gt;
	World Weather Information Service.  Weather Information for Salvador. 	http://worldweather.wmo.int/136/c01081f.htm#climate.  Accessed January 24, 	2014.&lt;br /&gt;
&lt;br /&gt;
20.  Dow Chemical Product Safety Assessment on Propylene Glycol: &lt;br /&gt;
	The Dow Chemical Company.  Product Safety Assessment: DOW Propylene 		Glycol.  	http://msdssearch.dow.com/PublishedLiteratureDOWCOM/dh_043a/0901b80380	43a596.pdf?filepath=propyleneglycol/pdfs/noreg/117-	01807.pdf&amp;amp;fromPage=GetDoc.  Revised: October 3, 2013.  Accessed January 24, 	2014.  &lt;br /&gt;
&lt;br /&gt;
21.  ICIS article on current facilities running glycerol to propylene glycol technology:&lt;br /&gt;
	Guzman D. Oleochemicals: Oleon enters glycerin-based propylene glycol. ICIS 	Chemical Business.  	http://www.icis.com/resources/news/2012/07/16/9577645/oleochemicals-oleon-	enters-glycerin-based-propylene-glycol/. 16 July 2012.  Accessed January 21, 	2014.&lt;br /&gt;
22. Products | Dow Propylene Glycol&lt;br /&gt;
http://www.dow.com/propyleneglycol/products/. Accessed January 21, 2014&lt;br /&gt;
&lt;br /&gt;
23. MEG Sales Specifications | MEGlobal&lt;br /&gt;
http://www.meglobal.biz/monoethylene-glycol/sales-specs. Accessed February 21, 2014.&lt;br /&gt;
&lt;br /&gt;
24. Interview with process consultant Dave Wegerer on February 25, 2014.&lt;br /&gt;
&lt;br /&gt;
25.  Kostick, Dennis.  Sodium Sulfate http://minerals.usgs.gov/minerals/pubs/commodity/sodium_sulfate/620496.pdf&lt;br /&gt;
&lt;br /&gt;
26. Towler, Gavin P., and R. K. Sinnott. Chemical Engineering Design: Principles, Practice and Economics of Plant and Process Design. 	Amsterdam: Elsevier/Butterworth-Heinemann, 2008. Print.&lt;br /&gt;
&lt;br /&gt;
27.  Oanada.  Historical Exchange Rates.   http://www.oanda.com/currency/historical-rates/&lt;br /&gt;
&lt;br /&gt;
28.  Bloomberg.  Brazil-USD exchange Rate. http://www.bloomberg.com/quote/BRLUSD:CUR&lt;br /&gt;
&lt;br /&gt;
29.  ICIS Chemical Business.  Chemical Profile Hydrogen.   http://www.icis.com/resources/news/2005/12/08/190713/chemical-profile-hydrogen/&lt;br /&gt;
&lt;br /&gt;
30.  Caustic Soda Latin America. Caustic Soda Markets and Analysis  http://www.icis.com/chemicals/caustic-soda/latin-america/?tab=tbc-tab2&lt;br /&gt;
&lt;br /&gt;
31.  Indicative Chemical Prices http://www.icis.com/chemicals/channel-info-chemicals-a-z/&lt;br /&gt;
&lt;br /&gt;
32.  Engelhard Industiral Bullion (EIB) Prices http://apps.catalysts.basf.com/apps/eibprices/mp/&lt;br /&gt;
&lt;br /&gt;
33.  London Metal Exchange.  LME Official Prices.  https://www.lme.com/en-gb/metals/minor-metals/cobalt/&lt;br /&gt;
&lt;br /&gt;
34.  Sigma Aldrich.  Alternatives for product 39988 Activated Charcoal Norit (FLUKA) http://www.sigmaaldrich.com/catalog/Replacement.do?productNumber=39988&amp;amp;brand=FLUKA&amp;amp;matNo=&amp;amp;fromUrl=http%3A//www.sigmaaldrich.com/catalog/product/fluka/39988%3Flang%3Den%26region%3DUS&amp;amp;fromUrlLabel=product%20details&lt;br /&gt;
&lt;br /&gt;
35.  Bloomberg Business Journal.  “Brazilian Power Price Surges to Record Amid Dry Spell” http://www.bloomberg.com/news/2014-01-31/brazilian-power-price-surges-to-record-amid-dry-spell.html&lt;br /&gt;
&lt;br /&gt;
36.  IRS. Figure depreciation under MACRS. http://www.irs.gov/publications/p946/ch04.html&lt;br /&gt;
&lt;br /&gt;
37.  KPMG.  Corporate tax rates table.  http://www.kpmg.com/global/en/services/tax/tax-tools-and-resources/pages/corporate-tax-rates-table.aspx&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1471</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1471"/>
		<updated>2014-03-12T05:36:08Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Conclusion */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations. &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
Figure 3 below shows the approximated costs of each of the pieces of equipment calculated using Aspen Economic Evaluator v7.3.1.  The major components running through the equipment are not corrosive, except basic water.  In addition most of the vessels are under fairly standard temperatures and pressures.  The key exception is the jacketed reactor, which is subject to extreme conditions.  The selection of SS407 allowed for a cheaper reactor as compared to SS304 due to the higher tensile strength.  The total ISBL equipment cost is 4.8 $MM in 2010 Gulf Coast USD.  The NF cost index is 2250 in 2010 and will conservatively be 2050 in 2014 [26], which adjusts project cost to 5.33 $MM in 2014 Gulf Coast USD.  The 2003 location factor for Brazil is 1.14 [26], and the exchange rate in 2003 was 1 Real = $.3402 [27].  The average rate for the past 3 months has been 1 Real = $.427 [28].  The adjusted capital cost for Brazil in 2014 is therefore 7.63 $MM.  Since the project is large-volume chemical on a new site, OSBL is taken as 40% of ISBL, or 3.05 $MM.  Engineering and contingency costs are taken as 10 and 15%, respectively, of combined ISBL and OSBL costs.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EquipCosts.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 3.&#039;&#039; Equipment Cost Breakdown&lt;br /&gt;
&lt;br /&gt;
=Prices=&lt;br /&gt;
&lt;br /&gt;
The price of feedstocks crude glycerol and hydrogen are $200/t [4, 5] and $1100/t [29].  The price of products propylene glycol and ethylene glycol are $2557/t [8] and $1400/t [23].  The price of consumables NaOH and H2SO4 are $635/t [30] and $80/t [31].  The catalyst must be replaced every 2 years, at a cost of 5.13 $MM [32, 33, 34].  The price of electricity has been fluctuating recently due to lack of rainfall, and is taken as 0.202 $/kWh [35].  Utilities prices for high pressure steam, medium pressure steam, and cooling water are $14.3/t, $12/t, and $.024/t, respectively [26].&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
Based on the plant size, three shift positions with 4.8 operators per shift will comprise the operating labor.  A salary of $35,000 is a reasonable estimate of operator wages in Brazil.  Supervision is taken as 25% of operating labor, and direct overhead is 45% of labor and supervision.  Maintenance is taken as 3% of ISBL Cost, and plant overhead is 65% of labor and maintenance costs.  Property and local tax and insurance are both typically 1% of ISBL plus OSBL Cost.  Repayment of debt associated with fixed investment is accounted for in the weighted average cost of capital so 0% is taken as fixed cost of production.  However, working capital will be funded entirely by debt, so 5% interest of working capital is taken as interest on debt financing.  &lt;br /&gt;
&lt;br /&gt;
The plant is scheduled to be constructed over two years, with 40% of capital expenditure being accounted for in year 1.  The plan will operate at 70% capacity in year 3 and 100% in the subsequent years.  Cost of equity is taken to be 30% based on chemical industry companies [26], adjusting for increased risk in South American ventures.  The debt ratio is taken to be 0.4 which allows this project to be financed by corporate bonds that are rated A and above, with a debt cost of capital of 5%.  The resulting weighted average cost of capital is therefore 20%.  The project will be depreciated using MACRS 10 year depreciation [36] which allows larger tax savings in the near-term, resulting in higher project NPV.  The corporate tax rate in Brazil is 34% [37].  Working capital is calculated as seven weeks Cash Cost of Production (CCOP) minus two weeks feed plus 1% of Fixed Capital Cost [26].&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
The total cost of utilities was found using the energy outputs from HYSYS and known costs of natural gas, water, and electricity in Brazil from commodity indices and surveys from the Brazilian government.  The total utility bill comes to $2,424,000 per year.  $1,110,000 from heating gas required to create steam for heating in the process, $1,304,000 in water for both steam generation and cooling water, and approximately $10,000 for electricity to power the pumps and any local offices or break rooms.  One important note to consider is that the price of gas in Brazil has risen 40% in the past three months.  Continuing fluctuations in energy prices could greatly affect these estimates from year to year.&lt;br /&gt;
&lt;br /&gt;
In order to determine the annual cost of utilities, it was necessary to carry out some heat exchanger design calculations and estimations. After surveying the energy requirement of each exchanger, it was determined that cooling water and steam will be the simplest heat transfer fluids to use, due to the relatively small heat requirements and change in temperature of each process stream. In the case of the three reboilers and three condensers, which are designed with the distillation columns, it was only necessary to find a mass flow rate of steam and water respectively. For the cooling water, once the mass flow rate was calculated, this was sufficient to price. For steam, in addition to purchasing the required mass of water, it was necessary to determine the heat required to raise the steam to the required temperatures. For the one cooler and one heater, we also utilized water and steam, and more thorough design was developed in order to accurately price the two exchangers and to help make a pinch analysis viable.&lt;br /&gt;
&lt;br /&gt;
[[File:Fig4.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 4.&#039;&#039; Utilities Breakdown&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
Gross profits are 8.1 $MM from year 4 onward and the project has a simple payback period of 2.6 years.  The project Net Present Value (NPV) for 10 and 15 years is 4.1 $MM and 6.8 $MM.  The expected return on this project (10 year IRR) is 30.3%, indicating this project is highly profitable and can be scaled up for higher NPV.  Accelerating the project schedule to complete the plant in less than 2 years will also greatly increase the NPV.&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
Evaluate the sensitivity of the project NPV to certain parameters based on best- and worst-case parameter assumptions.  For catalyst, PG, HP and MP Steam prices, best- and worst-case were taken as +/- 10% of the base price.  The project NPV is most sensitive to the price of Propylene Glycol and Glycerol, which is expected as these are the main product and feedstock.  The NPV is also highly sensitive to the cost of capital.&lt;br /&gt;
&lt;br /&gt;
[[File:Fig5.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 5.&#039;&#039; Sensitivity Analysis&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
Our economic analysis has proven that the project as it currently stands is highly profitable and will bring in positive cash flow within three years, although there are some existing environmental and safety concerns. Our current plans involve burning an effluent stream in which the key components are hydrogen, ethylene glycol and some fatty acids. In this case an analysis will need to be done in order to determine the extent of the damage to the local air and if a purification step is necessary.  The main safety concerns involve the acid streams and the reactor itself.  Operators will needs to be thoroughly educated on acid burn precaution and treatment procedures due to the acidic requirements of the streams.  The reactor runs at very high pressures and given the exothermic nature of the reaction appropriate steps will need to be taken in order to ensure that runaway reactions can be safely dealt with and pressure relief systems will be put in place. Our economic analysis has proven that the project as it currently stands is highly profitable and will bring in positive cash flow within three years. However, there is definite room for expansion in the design; our low NPV values and high IRR values indicate the ability to leverage economies of scale and dramatically expand our profit margins. As it stands, we recommend maximizing the NPV of the project with full scale optimization. This entails the addition of parallel reaction trains and the inclusion of a heat exchange network to fully maximize our profit margins. A plant layout should be developed along with the inclusion of automated control schemes to better optimize the process operation. The project currently holds great economic potential and with some more detailed engineering, could provide a very high return for our shareholders.&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=File:Fig5.PNG&amp;diff=1470</id>
		<title>File:Fig5.PNG</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=File:Fig5.PNG&amp;diff=1470"/>
		<updated>2014-03-12T05:35:17Z</updated>

		<summary type="html">&lt;p&gt;Julianne: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1469</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1469"/>
		<updated>2014-03-12T05:35:05Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Sensitivity Analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations. &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
Figure 3 below shows the approximated costs of each of the pieces of equipment calculated using Aspen Economic Evaluator v7.3.1.  The major components running through the equipment are not corrosive, except basic water.  In addition most of the vessels are under fairly standard temperatures and pressures.  The key exception is the jacketed reactor, which is subject to extreme conditions.  The selection of SS407 allowed for a cheaper reactor as compared to SS304 due to the higher tensile strength.  The total ISBL equipment cost is 4.8 $MM in 2010 Gulf Coast USD.  The NF cost index is 2250 in 2010 and will conservatively be 2050 in 2014 [26], which adjusts project cost to 5.33 $MM in 2014 Gulf Coast USD.  The 2003 location factor for Brazil is 1.14 [26], and the exchange rate in 2003 was 1 Real = $.3402 [27].  The average rate for the past 3 months has been 1 Real = $.427 [28].  The adjusted capital cost for Brazil in 2014 is therefore 7.63 $MM.  Since the project is large-volume chemical on a new site, OSBL is taken as 40% of ISBL, or 3.05 $MM.  Engineering and contingency costs are taken as 10 and 15%, respectively, of combined ISBL and OSBL costs.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EquipCosts.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 3.&#039;&#039; Equipment Cost Breakdown&lt;br /&gt;
&lt;br /&gt;
=Prices=&lt;br /&gt;
&lt;br /&gt;
The price of feedstocks crude glycerol and hydrogen are $200/t [4, 5] and $1100/t [29].  The price of products propylene glycol and ethylene glycol are $2557/t [8] and $1400/t [23].  The price of consumables NaOH and H2SO4 are $635/t [30] and $80/t [31].  The catalyst must be replaced every 2 years, at a cost of 5.13 $MM [32, 33, 34].  The price of electricity has been fluctuating recently due to lack of rainfall, and is taken as 0.202 $/kWh [35].  Utilities prices for high pressure steam, medium pressure steam, and cooling water are $14.3/t, $12/t, and $.024/t, respectively [26].&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
Based on the plant size, three shift positions with 4.8 operators per shift will comprise the operating labor.  A salary of $35,000 is a reasonable estimate of operator wages in Brazil.  Supervision is taken as 25% of operating labor, and direct overhead is 45% of labor and supervision.  Maintenance is taken as 3% of ISBL Cost, and plant overhead is 65% of labor and maintenance costs.  Property and local tax and insurance are both typically 1% of ISBL plus OSBL Cost.  Repayment of debt associated with fixed investment is accounted for in the weighted average cost of capital so 0% is taken as fixed cost of production.  However, working capital will be funded entirely by debt, so 5% interest of working capital is taken as interest on debt financing.  &lt;br /&gt;
&lt;br /&gt;
The plant is scheduled to be constructed over two years, with 40% of capital expenditure being accounted for in year 1.  The plan will operate at 70% capacity in year 3 and 100% in the subsequent years.  Cost of equity is taken to be 30% based on chemical industry companies [26], adjusting for increased risk in South American ventures.  The debt ratio is taken to be 0.4 which allows this project to be financed by corporate bonds that are rated A and above, with a debt cost of capital of 5%.  The resulting weighted average cost of capital is therefore 20%.  The project will be depreciated using MACRS 10 year depreciation [36] which allows larger tax savings in the near-term, resulting in higher project NPV.  The corporate tax rate in Brazil is 34% [37].  Working capital is calculated as seven weeks Cash Cost of Production (CCOP) minus two weeks feed plus 1% of Fixed Capital Cost [26].&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
The total cost of utilities was found using the energy outputs from HYSYS and known costs of natural gas, water, and electricity in Brazil from commodity indices and surveys from the Brazilian government.  The total utility bill comes to $2,424,000 per year.  $1,110,000 from heating gas required to create steam for heating in the process, $1,304,000 in water for both steam generation and cooling water, and approximately $10,000 for electricity to power the pumps and any local offices or break rooms.  One important note to consider is that the price of gas in Brazil has risen 40% in the past three months.  Continuing fluctuations in energy prices could greatly affect these estimates from year to year.&lt;br /&gt;
&lt;br /&gt;
In order to determine the annual cost of utilities, it was necessary to carry out some heat exchanger design calculations and estimations. After surveying the energy requirement of each exchanger, it was determined that cooling water and steam will be the simplest heat transfer fluids to use, due to the relatively small heat requirements and change in temperature of each process stream. In the case of the three reboilers and three condensers, which are designed with the distillation columns, it was only necessary to find a mass flow rate of steam and water respectively. For the cooling water, once the mass flow rate was calculated, this was sufficient to price. For steam, in addition to purchasing the required mass of water, it was necessary to determine the heat required to raise the steam to the required temperatures. For the one cooler and one heater, we also utilized water and steam, and more thorough design was developed in order to accurately price the two exchangers and to help make a pinch analysis viable.&lt;br /&gt;
&lt;br /&gt;
[[File:Fig4.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 4.&#039;&#039; Utilities Breakdown&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
Gross profits are 8.1 $MM from year 4 onward and the project has a simple payback period of 2.6 years.  The project Net Present Value (NPV) for 10 and 15 years is 4.1 $MM and 6.8 $MM.  The expected return on this project (10 year IRR) is 30.3%, indicating this project is highly profitable and can be scaled up for higher NPV.  Accelerating the project schedule to complete the plant in less than 2 years will also greatly increase the NPV.&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
Evaluate the sensitivity of the project NPV to certain parameters based on best- and worst-case parameter assumptions.  For catalyst, PG, HP and MP Steam prices, best- and worst-case were taken as +/- 10% of the base price.  The project NPV is most sensitive to the price of Propylene Glycol and Glycerol, which is expected as these are the main product and feedstock.  The NPV is also highly sensitive to the cost of capital.&lt;br /&gt;
&lt;br /&gt;
[[File:Fig5.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 5.&#039;&#039; Sensitivity Analysis&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1467</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1467"/>
		<updated>2014-03-12T05:33:46Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Sensitivity Analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations. &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
Figure 3 below shows the approximated costs of each of the pieces of equipment calculated using Aspen Economic Evaluator v7.3.1.  The major components running through the equipment are not corrosive, except basic water.  In addition most of the vessels are under fairly standard temperatures and pressures.  The key exception is the jacketed reactor, which is subject to extreme conditions.  The selection of SS407 allowed for a cheaper reactor as compared to SS304 due to the higher tensile strength.  The total ISBL equipment cost is 4.8 $MM in 2010 Gulf Coast USD.  The NF cost index is 2250 in 2010 and will conservatively be 2050 in 2014 [26], which adjusts project cost to 5.33 $MM in 2014 Gulf Coast USD.  The 2003 location factor for Brazil is 1.14 [26], and the exchange rate in 2003 was 1 Real = $.3402 [27].  The average rate for the past 3 months has been 1 Real = $.427 [28].  The adjusted capital cost for Brazil in 2014 is therefore 7.63 $MM.  Since the project is large-volume chemical on a new site, OSBL is taken as 40% of ISBL, or 3.05 $MM.  Engineering and contingency costs are taken as 10 and 15%, respectively, of combined ISBL and OSBL costs.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EquipCosts.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 3.&#039;&#039; Equipment Cost Breakdown&lt;br /&gt;
&lt;br /&gt;
=Prices=&lt;br /&gt;
&lt;br /&gt;
The price of feedstocks crude glycerol and hydrogen are $200/t [4, 5] and $1100/t [29].  The price of products propylene glycol and ethylene glycol are $2557/t [8] and $1400/t [23].  The price of consumables NaOH and H2SO4 are $635/t [30] and $80/t [31].  The catalyst must be replaced every 2 years, at a cost of 5.13 $MM [32, 33, 34].  The price of electricity has been fluctuating recently due to lack of rainfall, and is taken as 0.202 $/kWh [35].  Utilities prices for high pressure steam, medium pressure steam, and cooling water are $14.3/t, $12/t, and $.024/t, respectively [26].&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
Based on the plant size, three shift positions with 4.8 operators per shift will comprise the operating labor.  A salary of $35,000 is a reasonable estimate of operator wages in Brazil.  Supervision is taken as 25% of operating labor, and direct overhead is 45% of labor and supervision.  Maintenance is taken as 3% of ISBL Cost, and plant overhead is 65% of labor and maintenance costs.  Property and local tax and insurance are both typically 1% of ISBL plus OSBL Cost.  Repayment of debt associated with fixed investment is accounted for in the weighted average cost of capital so 0% is taken as fixed cost of production.  However, working capital will be funded entirely by debt, so 5% interest of working capital is taken as interest on debt financing.  &lt;br /&gt;
&lt;br /&gt;
The plant is scheduled to be constructed over two years, with 40% of capital expenditure being accounted for in year 1.  The plan will operate at 70% capacity in year 3 and 100% in the subsequent years.  Cost of equity is taken to be 30% based on chemical industry companies [26], adjusting for increased risk in South American ventures.  The debt ratio is taken to be 0.4 which allows this project to be financed by corporate bonds that are rated A and above, with a debt cost of capital of 5%.  The resulting weighted average cost of capital is therefore 20%.  The project will be depreciated using MACRS 10 year depreciation [36] which allows larger tax savings in the near-term, resulting in higher project NPV.  The corporate tax rate in Brazil is 34% [37].  Working capital is calculated as seven weeks Cash Cost of Production (CCOP) minus two weeks feed plus 1% of Fixed Capital Cost [26].&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
The total cost of utilities was found using the energy outputs from HYSYS and known costs of natural gas, water, and electricity in Brazil from commodity indices and surveys from the Brazilian government.  The total utility bill comes to $2,424,000 per year.  $1,110,000 from heating gas required to create steam for heating in the process, $1,304,000 in water for both steam generation and cooling water, and approximately $10,000 for electricity to power the pumps and any local offices or break rooms.  One important note to consider is that the price of gas in Brazil has risen 40% in the past three months.  Continuing fluctuations in energy prices could greatly affect these estimates from year to year.&lt;br /&gt;
&lt;br /&gt;
In order to determine the annual cost of utilities, it was necessary to carry out some heat exchanger design calculations and estimations. After surveying the energy requirement of each exchanger, it was determined that cooling water and steam will be the simplest heat transfer fluids to use, due to the relatively small heat requirements and change in temperature of each process stream. In the case of the three reboilers and three condensers, which are designed with the distillation columns, it was only necessary to find a mass flow rate of steam and water respectively. For the cooling water, once the mass flow rate was calculated, this was sufficient to price. For steam, in addition to purchasing the required mass of water, it was necessary to determine the heat required to raise the steam to the required temperatures. For the one cooler and one heater, we also utilized water and steam, and more thorough design was developed in order to accurately price the two exchangers and to help make a pinch analysis viable.&lt;br /&gt;
&lt;br /&gt;
[[File:Fig4.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 4.&#039;&#039; Utilities Breakdown&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
Gross profits are 8.1 $MM from year 4 onward and the project has a simple payback period of 2.6 years.  The project Net Present Value (NPV) for 10 and 15 years is 4.1 $MM and 6.8 $MM.  The expected return on this project (10 year IRR) is 30.3%, indicating this project is highly profitable and can be scaled up for higher NPV.  Accelerating the project schedule to complete the plant in less than 2 years will also greatly increase the NPV.&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
Evaluate the sensitivity of the project NPV to certain parameters based on best- and worst-case parameter assumptions.  For catalyst, PG, HP and MP Steam prices, best- and worst-case were taken as +/- 10% of the base price.  The project NPV is most sensitive to the price of Propylene Glycol and Glycerol, which is expected as these are the main product and feedstock.  The NPV is also highly sensitive to the cost of capital.&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1466</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1466"/>
		<updated>2014-03-12T05:33:04Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Economic Analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations. &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
Figure 3 below shows the approximated costs of each of the pieces of equipment calculated using Aspen Economic Evaluator v7.3.1.  The major components running through the equipment are not corrosive, except basic water.  In addition most of the vessels are under fairly standard temperatures and pressures.  The key exception is the jacketed reactor, which is subject to extreme conditions.  The selection of SS407 allowed for a cheaper reactor as compared to SS304 due to the higher tensile strength.  The total ISBL equipment cost is 4.8 $MM in 2010 Gulf Coast USD.  The NF cost index is 2250 in 2010 and will conservatively be 2050 in 2014 [26], which adjusts project cost to 5.33 $MM in 2014 Gulf Coast USD.  The 2003 location factor for Brazil is 1.14 [26], and the exchange rate in 2003 was 1 Real = $.3402 [27].  The average rate for the past 3 months has been 1 Real = $.427 [28].  The adjusted capital cost for Brazil in 2014 is therefore 7.63 $MM.  Since the project is large-volume chemical on a new site, OSBL is taken as 40% of ISBL, or 3.05 $MM.  Engineering and contingency costs are taken as 10 and 15%, respectively, of combined ISBL and OSBL costs.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EquipCosts.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 3.&#039;&#039; Equipment Cost Breakdown&lt;br /&gt;
&lt;br /&gt;
=Prices=&lt;br /&gt;
&lt;br /&gt;
The price of feedstocks crude glycerol and hydrogen are $200/t [4, 5] and $1100/t [29].  The price of products propylene glycol and ethylene glycol are $2557/t [8] and $1400/t [23].  The price of consumables NaOH and H2SO4 are $635/t [30] and $80/t [31].  The catalyst must be replaced every 2 years, at a cost of 5.13 $MM [32, 33, 34].  The price of electricity has been fluctuating recently due to lack of rainfall, and is taken as 0.202 $/kWh [35].  Utilities prices for high pressure steam, medium pressure steam, and cooling water are $14.3/t, $12/t, and $.024/t, respectively [26].&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
Based on the plant size, three shift positions with 4.8 operators per shift will comprise the operating labor.  A salary of $35,000 is a reasonable estimate of operator wages in Brazil.  Supervision is taken as 25% of operating labor, and direct overhead is 45% of labor and supervision.  Maintenance is taken as 3% of ISBL Cost, and plant overhead is 65% of labor and maintenance costs.  Property and local tax and insurance are both typically 1% of ISBL plus OSBL Cost.  Repayment of debt associated with fixed investment is accounted for in the weighted average cost of capital so 0% is taken as fixed cost of production.  However, working capital will be funded entirely by debt, so 5% interest of working capital is taken as interest on debt financing.  &lt;br /&gt;
&lt;br /&gt;
The plant is scheduled to be constructed over two years, with 40% of capital expenditure being accounted for in year 1.  The plan will operate at 70% capacity in year 3 and 100% in the subsequent years.  Cost of equity is taken to be 30% based on chemical industry companies [26], adjusting for increased risk in South American ventures.  The debt ratio is taken to be 0.4 which allows this project to be financed by corporate bonds that are rated A and above, with a debt cost of capital of 5%.  The resulting weighted average cost of capital is therefore 20%.  The project will be depreciated using MACRS 10 year depreciation [36] which allows larger tax savings in the near-term, resulting in higher project NPV.  The corporate tax rate in Brazil is 34% [37].  Working capital is calculated as seven weeks Cash Cost of Production (CCOP) minus two weeks feed plus 1% of Fixed Capital Cost [26].&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
The total cost of utilities was found using the energy outputs from HYSYS and known costs of natural gas, water, and electricity in Brazil from commodity indices and surveys from the Brazilian government.  The total utility bill comes to $2,424,000 per year.  $1,110,000 from heating gas required to create steam for heating in the process, $1,304,000 in water for both steam generation and cooling water, and approximately $10,000 for electricity to power the pumps and any local offices or break rooms.  One important note to consider is that the price of gas in Brazil has risen 40% in the past three months.  Continuing fluctuations in energy prices could greatly affect these estimates from year to year.&lt;br /&gt;
&lt;br /&gt;
In order to determine the annual cost of utilities, it was necessary to carry out some heat exchanger design calculations and estimations. After surveying the energy requirement of each exchanger, it was determined that cooling water and steam will be the simplest heat transfer fluids to use, due to the relatively small heat requirements and change in temperature of each process stream. In the case of the three reboilers and three condensers, which are designed with the distillation columns, it was only necessary to find a mass flow rate of steam and water respectively. For the cooling water, once the mass flow rate was calculated, this was sufficient to price. For steam, in addition to purchasing the required mass of water, it was necessary to determine the heat required to raise the steam to the required temperatures. For the one cooler and one heater, we also utilized water and steam, and more thorough design was developed in order to accurately price the two exchangers and to help make a pinch analysis viable.&lt;br /&gt;
&lt;br /&gt;
[[File:Fig4.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 4.&#039;&#039; Utilities Breakdown&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
Gross profits are 8.1 $MM from year 4 onward and the project has a simple payback period of 2.6 years.  The project Net Present Value (NPV) for 10 and 15 years is 4.1 $MM and 6.8 $MM.  The expected return on this project (10 year IRR) is 30.3%, indicating this project is highly profitable and can be scaled up for higher NPV.  Accelerating the project schedule to complete the plant in less than 2 years will also greatly increase the NPV.&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1465</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1465"/>
		<updated>2014-03-12T05:32:27Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Utilities and Pinch Analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations. &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
Figure 3 below shows the approximated costs of each of the pieces of equipment calculated using Aspen Economic Evaluator v7.3.1.  The major components running through the equipment are not corrosive, except basic water.  In addition most of the vessels are under fairly standard temperatures and pressures.  The key exception is the jacketed reactor, which is subject to extreme conditions.  The selection of SS407 allowed for a cheaper reactor as compared to SS304 due to the higher tensile strength.  The total ISBL equipment cost is 4.8 $MM in 2010 Gulf Coast USD.  The NF cost index is 2250 in 2010 and will conservatively be 2050 in 2014 [26], which adjusts project cost to 5.33 $MM in 2014 Gulf Coast USD.  The 2003 location factor for Brazil is 1.14 [26], and the exchange rate in 2003 was 1 Real = $.3402 [27].  The average rate for the past 3 months has been 1 Real = $.427 [28].  The adjusted capital cost for Brazil in 2014 is therefore 7.63 $MM.  Since the project is large-volume chemical on a new site, OSBL is taken as 40% of ISBL, or 3.05 $MM.  Engineering and contingency costs are taken as 10 and 15%, respectively, of combined ISBL and OSBL costs.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EquipCosts.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 3.&#039;&#039; Equipment Cost Breakdown&lt;br /&gt;
&lt;br /&gt;
=Prices=&lt;br /&gt;
&lt;br /&gt;
The price of feedstocks crude glycerol and hydrogen are $200/t [4, 5] and $1100/t [29].  The price of products propylene glycol and ethylene glycol are $2557/t [8] and $1400/t [23].  The price of consumables NaOH and H2SO4 are $635/t [30] and $80/t [31].  The catalyst must be replaced every 2 years, at a cost of 5.13 $MM [32, 33, 34].  The price of electricity has been fluctuating recently due to lack of rainfall, and is taken as 0.202 $/kWh [35].  Utilities prices for high pressure steam, medium pressure steam, and cooling water are $14.3/t, $12/t, and $.024/t, respectively [26].&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
Based on the plant size, three shift positions with 4.8 operators per shift will comprise the operating labor.  A salary of $35,000 is a reasonable estimate of operator wages in Brazil.  Supervision is taken as 25% of operating labor, and direct overhead is 45% of labor and supervision.  Maintenance is taken as 3% of ISBL Cost, and plant overhead is 65% of labor and maintenance costs.  Property and local tax and insurance are both typically 1% of ISBL plus OSBL Cost.  Repayment of debt associated with fixed investment is accounted for in the weighted average cost of capital so 0% is taken as fixed cost of production.  However, working capital will be funded entirely by debt, so 5% interest of working capital is taken as interest on debt financing.  &lt;br /&gt;
&lt;br /&gt;
The plant is scheduled to be constructed over two years, with 40% of capital expenditure being accounted for in year 1.  The plan will operate at 70% capacity in year 3 and 100% in the subsequent years.  Cost of equity is taken to be 30% based on chemical industry companies [26], adjusting for increased risk in South American ventures.  The debt ratio is taken to be 0.4 which allows this project to be financed by corporate bonds that are rated A and above, with a debt cost of capital of 5%.  The resulting weighted average cost of capital is therefore 20%.  The project will be depreciated using MACRS 10 year depreciation [36] which allows larger tax savings in the near-term, resulting in higher project NPV.  The corporate tax rate in Brazil is 34% [37].  Working capital is calculated as seven weeks Cash Cost of Production (CCOP) minus two weeks feed plus 1% of Fixed Capital Cost [26].&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
The total cost of utilities was found using the energy outputs from HYSYS and known costs of natural gas, water, and electricity in Brazil from commodity indices and surveys from the Brazilian government.  The total utility bill comes to $2,424,000 per year.  $1,110,000 from heating gas required to create steam for heating in the process, $1,304,000 in water for both steam generation and cooling water, and approximately $10,000 for electricity to power the pumps and any local offices or break rooms.  One important note to consider is that the price of gas in Brazil has risen 40% in the past three months.  Continuing fluctuations in energy prices could greatly affect these estimates from year to year.&lt;br /&gt;
&lt;br /&gt;
In order to determine the annual cost of utilities, it was necessary to carry out some heat exchanger design calculations and estimations. After surveying the energy requirement of each exchanger, it was determined that cooling water and steam will be the simplest heat transfer fluids to use, due to the relatively small heat requirements and change in temperature of each process stream. In the case of the three reboilers and three condensers, which are designed with the distillation columns, it was only necessary to find a mass flow rate of steam and water respectively. For the cooling water, once the mass flow rate was calculated, this was sufficient to price. For steam, in addition to purchasing the required mass of water, it was necessary to determine the heat required to raise the steam to the required temperatures. For the one cooler and one heater, we also utilized water and steam, and more thorough design was developed in order to accurately price the two exchangers and to help make a pinch analysis viable.&lt;br /&gt;
&lt;br /&gt;
[[File:Fig4.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 4.&#039;&#039; Utilities Breakdown&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=File:Fig4.PNG&amp;diff=1463</id>
		<title>File:Fig4.PNG</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=File:Fig4.PNG&amp;diff=1463"/>
		<updated>2014-03-12T05:31:21Z</updated>

		<summary type="html">&lt;p&gt;Julianne: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1462</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1462"/>
		<updated>2014-03-12T05:31:10Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Utilities and Pinch Analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
Figure 3 below shows the approximated costs of each of the pieces of equipment calculated using Aspen Economic Evaluator v7.3.1.  The major components running through the equipment are not corrosive, except basic water.  In addition most of the vessels are under fairly standard temperatures and pressures.  The key exception is the jacketed reactor, which is subject to extreme conditions.  The selection of SS407 allowed for a cheaper reactor as compared to SS304 due to the higher tensile strength.  The total ISBL equipment cost is 4.8 $MM in 2010 Gulf Coast USD.  The NF cost index is 2250 in 2010 and will conservatively be 2050 in 2014 [26], which adjusts project cost to 5.33 $MM in 2014 Gulf Coast USD.  The 2003 location factor for Brazil is 1.14 [26], and the exchange rate in 2003 was 1 Real = $.3402 [27].  The average rate for the past 3 months has been 1 Real = $.427 [28].  The adjusted capital cost for Brazil in 2014 is therefore 7.63 $MM.  Since the project is large-volume chemical on a new site, OSBL is taken as 40% of ISBL, or 3.05 $MM.  Engineering and contingency costs are taken as 10 and 15%, respectively, of combined ISBL and OSBL costs.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EquipCosts.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 3.&#039;&#039; Equipment Cost Breakdown&lt;br /&gt;
&lt;br /&gt;
=Prices=&lt;br /&gt;
&lt;br /&gt;
The price of feedstocks crude glycerol and hydrogen are $200/t [4, 5] and $1100/t [29].  The price of products propylene glycol and ethylene glycol are $2557/t [8] and $1400/t [23].  The price of consumables NaOH and H2SO4 are $635/t [30] and $80/t [31].  The catalyst must be replaced every 2 years, at a cost of 5.13 $MM [32, 33, 34].  The price of electricity has been fluctuating recently due to lack of rainfall, and is taken as 0.202 $/kWh [35].  Utilities prices for high pressure steam, medium pressure steam, and cooling water are $14.3/t, $12/t, and $.024/t, respectively [26].&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
Based on the plant size, three shift positions with 4.8 operators per shift will comprise the operating labor.  A salary of $35,000 is a reasonable estimate of operator wages in Brazil.  Supervision is taken as 25% of operating labor, and direct overhead is 45% of labor and supervision.  Maintenance is taken as 3% of ISBL Cost, and plant overhead is 65% of labor and maintenance costs.  Property and local tax and insurance are both typically 1% of ISBL plus OSBL Cost.  Repayment of debt associated with fixed investment is accounted for in the weighted average cost of capital so 0% is taken as fixed cost of production.  However, working capital will be funded entirely by debt, so 5% interest of working capital is taken as interest on debt financing.  &lt;br /&gt;
&lt;br /&gt;
The plant is scheduled to be constructed over two years, with 40% of capital expenditure being accounted for in year 1.  The plan will operate at 70% capacity in year 3 and 100% in the subsequent years.  Cost of equity is taken to be 30% based on chemical industry companies [26], adjusting for increased risk in South American ventures.  The debt ratio is taken to be 0.4 which allows this project to be financed by corporate bonds that are rated A and above, with a debt cost of capital of 5%.  The resulting weighted average cost of capital is therefore 20%.  The project will be depreciated using MACRS 10 year depreciation [36] which allows larger tax savings in the near-term, resulting in higher project NPV.  The corporate tax rate in Brazil is 34% [37].  Working capital is calculated as seven weeks Cash Cost of Production (CCOP) minus two weeks feed plus 1% of Fixed Capital Cost [26].&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
The total cost of utilities was found using the energy outputs from HYSYS and known costs of natural gas, water, and electricity in Brazil from commodity indices and surveys from the Brazilian government.  The total utility bill comes to $2,424,000 per year.  $1,110,000 from heating gas required to create steam for heating in the process, $1,304,000 in water for both steam generation and cooling water, and approximately $10,000 for electricity to power the pumps and any local offices or break rooms.  One important note to consider is that the price of gas in Brazil has risen 40% in the past three months.  Continuing fluctuations in energy prices could greatly affect these estimates from year to year.&lt;br /&gt;
&lt;br /&gt;
In order to determine the annual cost of utilities, it was necessary to carry out some heat exchanger design calculations and estimations. After surveying the energy requirement of each exchanger, it was determined that cooling water and steam will be the simplest heat transfer fluids to use, due to the relatively small heat requirements and change in temperature of each process stream. In the case of the three reboilers and three condensers, which are designed with the distillation columns, it was only necessary to find a mass flow rate of steam and water respectively. For the cooling water, once the mass flow rate was calculated, this was sufficient to price. For steam, in addition to purchasing the required mass of water, it was necessary to determine the heat required to raise the steam to the required temperatures. For the one cooler and one heater, we also utilized water and steam, and more thorough design was developed in order to accurately price the two exchangers and to help make a pinch analysis viable.&lt;br /&gt;
&lt;br /&gt;
[[File:Fig4.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 4.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1460</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1460"/>
		<updated>2014-03-12T05:28:41Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Utilities and Pinch Analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
Figure 3 below shows the approximated costs of each of the pieces of equipment calculated using Aspen Economic Evaluator v7.3.1.  The major components running through the equipment are not corrosive, except basic water.  In addition most of the vessels are under fairly standard temperatures and pressures.  The key exception is the jacketed reactor, which is subject to extreme conditions.  The selection of SS407 allowed for a cheaper reactor as compared to SS304 due to the higher tensile strength.  The total ISBL equipment cost is 4.8 $MM in 2010 Gulf Coast USD.  The NF cost index is 2250 in 2010 and will conservatively be 2050 in 2014 [26], which adjusts project cost to 5.33 $MM in 2014 Gulf Coast USD.  The 2003 location factor for Brazil is 1.14 [26], and the exchange rate in 2003 was 1 Real = $.3402 [27].  The average rate for the past 3 months has been 1 Real = $.427 [28].  The adjusted capital cost for Brazil in 2014 is therefore 7.63 $MM.  Since the project is large-volume chemical on a new site, OSBL is taken as 40% of ISBL, or 3.05 $MM.  Engineering and contingency costs are taken as 10 and 15%, respectively, of combined ISBL and OSBL costs.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EquipCosts.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 3.&#039;&#039; Equipment Cost Breakdown&lt;br /&gt;
&lt;br /&gt;
=Prices=&lt;br /&gt;
&lt;br /&gt;
The price of feedstocks crude glycerol and hydrogen are $200/t [4, 5] and $1100/t [29].  The price of products propylene glycol and ethylene glycol are $2557/t [8] and $1400/t [23].  The price of consumables NaOH and H2SO4 are $635/t [30] and $80/t [31].  The catalyst must be replaced every 2 years, at a cost of 5.13 $MM [32, 33, 34].  The price of electricity has been fluctuating recently due to lack of rainfall, and is taken as 0.202 $/kWh [35].  Utilities prices for high pressure steam, medium pressure steam, and cooling water are $14.3/t, $12/t, and $.024/t, respectively [26].&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
Based on the plant size, three shift positions with 4.8 operators per shift will comprise the operating labor.  A salary of $35,000 is a reasonable estimate of operator wages in Brazil.  Supervision is taken as 25% of operating labor, and direct overhead is 45% of labor and supervision.  Maintenance is taken as 3% of ISBL Cost, and plant overhead is 65% of labor and maintenance costs.  Property and local tax and insurance are both typically 1% of ISBL plus OSBL Cost.  Repayment of debt associated with fixed investment is accounted for in the weighted average cost of capital so 0% is taken as fixed cost of production.  However, working capital will be funded entirely by debt, so 5% interest of working capital is taken as interest on debt financing.  &lt;br /&gt;
&lt;br /&gt;
The plant is scheduled to be constructed over two years, with 40% of capital expenditure being accounted for in year 1.  The plan will operate at 70% capacity in year 3 and 100% in the subsequent years.  Cost of equity is taken to be 30% based on chemical industry companies [26], adjusting for increased risk in South American ventures.  The debt ratio is taken to be 0.4 which allows this project to be financed by corporate bonds that are rated A and above, with a debt cost of capital of 5%.  The resulting weighted average cost of capital is therefore 20%.  The project will be depreciated using MACRS 10 year depreciation [36] which allows larger tax savings in the near-term, resulting in higher project NPV.  The corporate tax rate in Brazil is 34% [37].  Working capital is calculated as seven weeks Cash Cost of Production (CCOP) minus two weeks feed plus 1% of Fixed Capital Cost [26].&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
The total cost of utilities was found using the energy outputs from HYSYS and known costs of natural gas, water, and electricity in Brazil from commodity indices and surveys from the Brazilian government.  The total utility bill comes to $2,424,000 per year.  $1,110,000 from heating gas required to create steam for heating in the process, $1,304,000 in water for both steam generation and cooling water, and approximately $10,000 for electricity to power the pumps and any local offices or break rooms.  One important note to consider is that the price of gas in Brazil has risen 40% in the past three months.  Continuing fluctuations in energy prices could greatly affect these estimates from year to year.&lt;br /&gt;
&lt;br /&gt;
In order to determine the annual cost of utilities, it was necessary to carry out some heat exchanger design calculations and estimations. After surveying the energy requirement of each exchanger, it was determined that cooling water and steam will be the simplest heat transfer fluids to use, due to the relatively small heat requirements and change in temperature of each process stream. In the case of the three reboilers and three condensers, which are designed with the distillation columns, it was only necessary to find a mass flow rate of steam and water respectively. For the cooling water, once the mass flow rate was calculated, this was sufficient to price. For steam, in addition to purchasing the required mass of water, it was necessary to determine the heat required to raise the steam to the required temperatures. For the one cooler and one heater, we also utilized water and steam, and more thorough design was developed in order to accurately price the two exchangers and to help make a pinch analysis viable.&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1459</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1459"/>
		<updated>2014-03-12T05:28:13Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Fixed Operating Costs */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
Figure 3 below shows the approximated costs of each of the pieces of equipment calculated using Aspen Economic Evaluator v7.3.1.  The major components running through the equipment are not corrosive, except basic water.  In addition most of the vessels are under fairly standard temperatures and pressures.  The key exception is the jacketed reactor, which is subject to extreme conditions.  The selection of SS407 allowed for a cheaper reactor as compared to SS304 due to the higher tensile strength.  The total ISBL equipment cost is 4.8 $MM in 2010 Gulf Coast USD.  The NF cost index is 2250 in 2010 and will conservatively be 2050 in 2014 [26], which adjusts project cost to 5.33 $MM in 2014 Gulf Coast USD.  The 2003 location factor for Brazil is 1.14 [26], and the exchange rate in 2003 was 1 Real = $.3402 [27].  The average rate for the past 3 months has been 1 Real = $.427 [28].  The adjusted capital cost for Brazil in 2014 is therefore 7.63 $MM.  Since the project is large-volume chemical on a new site, OSBL is taken as 40% of ISBL, or 3.05 $MM.  Engineering and contingency costs are taken as 10 and 15%, respectively, of combined ISBL and OSBL costs.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EquipCosts.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 3.&#039;&#039; Equipment Cost Breakdown&lt;br /&gt;
&lt;br /&gt;
=Prices=&lt;br /&gt;
&lt;br /&gt;
The price of feedstocks crude glycerol and hydrogen are $200/t [4, 5] and $1100/t [29].  The price of products propylene glycol and ethylene glycol are $2557/t [8] and $1400/t [23].  The price of consumables NaOH and H2SO4 are $635/t [30] and $80/t [31].  The catalyst must be replaced every 2 years, at a cost of 5.13 $MM [32, 33, 34].  The price of electricity has been fluctuating recently due to lack of rainfall, and is taken as 0.202 $/kWh [35].  Utilities prices for high pressure steam, medium pressure steam, and cooling water are $14.3/t, $12/t, and $.024/t, respectively [26].&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
Based on the plant size, three shift positions with 4.8 operators per shift will comprise the operating labor.  A salary of $35,000 is a reasonable estimate of operator wages in Brazil.  Supervision is taken as 25% of operating labor, and direct overhead is 45% of labor and supervision.  Maintenance is taken as 3% of ISBL Cost, and plant overhead is 65% of labor and maintenance costs.  Property and local tax and insurance are both typically 1% of ISBL plus OSBL Cost.  Repayment of debt associated with fixed investment is accounted for in the weighted average cost of capital so 0% is taken as fixed cost of production.  However, working capital will be funded entirely by debt, so 5% interest of working capital is taken as interest on debt financing.  &lt;br /&gt;
&lt;br /&gt;
The plant is scheduled to be constructed over two years, with 40% of capital expenditure being accounted for in year 1.  The plan will operate at 70% capacity in year 3 and 100% in the subsequent years.  Cost of equity is taken to be 30% based on chemical industry companies [26], adjusting for increased risk in South American ventures.  The debt ratio is taken to be 0.4 which allows this project to be financed by corporate bonds that are rated A and above, with a debt cost of capital of 5%.  The resulting weighted average cost of capital is therefore 20%.  The project will be depreciated using MACRS 10 year depreciation [36] which allows larger tax savings in the near-term, resulting in higher project NPV.  The corporate tax rate in Brazil is 34% [37].  Working capital is calculated as seven weeks Cash Cost of Production (CCOP) minus two weeks feed plus 1% of Fixed Capital Cost [26].&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1458</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1458"/>
		<updated>2014-03-12T05:27:34Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Material Prices */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
Figure 3 below shows the approximated costs of each of the pieces of equipment calculated using Aspen Economic Evaluator v7.3.1.  The major components running through the equipment are not corrosive, except basic water.  In addition most of the vessels are under fairly standard temperatures and pressures.  The key exception is the jacketed reactor, which is subject to extreme conditions.  The selection of SS407 allowed for a cheaper reactor as compared to SS304 due to the higher tensile strength.  The total ISBL equipment cost is 4.8 $MM in 2010 Gulf Coast USD.  The NF cost index is 2250 in 2010 and will conservatively be 2050 in 2014 [26], which adjusts project cost to 5.33 $MM in 2014 Gulf Coast USD.  The 2003 location factor for Brazil is 1.14 [26], and the exchange rate in 2003 was 1 Real = $.3402 [27].  The average rate for the past 3 months has been 1 Real = $.427 [28].  The adjusted capital cost for Brazil in 2014 is therefore 7.63 $MM.  Since the project is large-volume chemical on a new site, OSBL is taken as 40% of ISBL, or 3.05 $MM.  Engineering and contingency costs are taken as 10 and 15%, respectively, of combined ISBL and OSBL costs.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EquipCosts.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 3.&#039;&#039; Equipment Cost Breakdown&lt;br /&gt;
&lt;br /&gt;
=Prices=&lt;br /&gt;
&lt;br /&gt;
The price of feedstocks crude glycerol and hydrogen are $200/t [4, 5] and $1100/t [29].  The price of products propylene glycol and ethylene glycol are $2557/t [8] and $1400/t [23].  The price of consumables NaOH and H2SO4 are $635/t [30] and $80/t [31].  The catalyst must be replaced every 2 years, at a cost of 5.13 $MM [32, 33, 34].  The price of electricity has been fluctuating recently due to lack of rainfall, and is taken as 0.202 $/kWh [35].  Utilities prices for high pressure steam, medium pressure steam, and cooling water are $14.3/t, $12/t, and $.024/t, respectively [26].&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1457</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1457"/>
		<updated>2014-03-12T05:27:04Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Equipment Costs */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
Figure 3 below shows the approximated costs of each of the pieces of equipment calculated using Aspen Economic Evaluator v7.3.1.  The major components running through the equipment are not corrosive, except basic water.  In addition most of the vessels are under fairly standard temperatures and pressures.  The key exception is the jacketed reactor, which is subject to extreme conditions.  The selection of SS407 allowed for a cheaper reactor as compared to SS304 due to the higher tensile strength.  The total ISBL equipment cost is 4.8 $MM in 2010 Gulf Coast USD.  The NF cost index is 2250 in 2010 and will conservatively be 2050 in 2014 [26], which adjusts project cost to 5.33 $MM in 2014 Gulf Coast USD.  The 2003 location factor for Brazil is 1.14 [26], and the exchange rate in 2003 was 1 Real = $.3402 [27].  The average rate for the past 3 months has been 1 Real = $.427 [28].  The adjusted capital cost for Brazil in 2014 is therefore 7.63 $MM.  Since the project is large-volume chemical on a new site, OSBL is taken as 40% of ISBL, or 3.05 $MM.  Engineering and contingency costs are taken as 10 and 15%, respectively, of combined ISBL and OSBL costs.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EquipCosts.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 3.&#039;&#039; Equipment Cost Breakdown&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=File:EquipCosts.PNG&amp;diff=1456</id>
		<title>File:EquipCosts.PNG</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=File:EquipCosts.PNG&amp;diff=1456"/>
		<updated>2014-03-12T05:26:30Z</updated>

		<summary type="html">&lt;p&gt;Julianne: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1455</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1455"/>
		<updated>2014-03-12T05:26:17Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Equipment Costs */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
Figure 3 below shows the approximated costs of each of the pieces of equipment calculated using Aspen Economic Evaluator v7.3.1.  The major components running through the equipment are not corrosive, except basic water.  In addition most of the vessels are under fairly standard temperatures and pressures.  The key exception is the jacketed reactor, which is subject to extreme conditions.  The selection of SS407 allowed for a cheaper reactor as compared to SS304 due to the higher tensile strength.  The total ISBL equipment cost is 4.8 $MM in 2010 Gulf Coast USD.  The NF cost index is 2250 in 2010 and will conservatively be 2050 in 2014 [26], which adjusts project cost to 5.33 $MM in 2014 Gulf Coast USD.  The 2003 location factor for Brazil is 1.14 [26], and the exchange rate in 2003 was 1 Real = $.3402 [27].  The average rate for the past 3 months has been 1 Real = $.427 [28].  The adjusted capital cost for Brazil in 2014 is therefore 7.63 $MM.  Since the project is large-volume chemical on a new site, OSBL is taken as 40% of ISBL, or 3.05 $MM.  Engineering and contingency costs are taken as 10 and 15%, respectively, of combined ISBL and OSBL costs.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:EquipCosts.PNG]]&lt;br /&gt;
&#039;&#039;Figure 3.&#039;&#039; Equipment Cost Breakdown&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1454</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1454"/>
		<updated>2014-03-12T05:24:04Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Equipment Costs */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
Figure 3 below shows the approximated costs of each of the pieces of equipment calculated using Aspen Economic Evaluator v7.3.1.  The major components running through the equipment are not corrosive, except basic water.  In addition most of the vessels are under fairly standard temperatures and pressures.  The key exception is the jacketed reactor, which is subject to extreme conditions.  The selection of SS407 allowed for a cheaper reactor as compared to SS304 due to the higher tensile strength.  The total ISBL equipment cost is 4.8 $MM in 2010 Gulf Coast USD.  The NF cost index is 2250 in 2010 and will conservatively be 2050 in 2014 [26], which adjusts project cost to 5.33 $MM in 2014 Gulf Coast USD.  The 2003 location factor for Brazil is 1.14 [26], and the exchange rate in 2003 was 1 Real = $.3402 [27].  The average rate for the past 3 months has been 1 Real = $.427 [28].  The adjusted capital cost for Brazil in 2014 is therefore 7.63 $MM.  Since the project is large-volume chemical on a new site, OSBL is taken as 40% of ISBL, or 3.05 $MM.  Engineering and contingency costs are taken as 10 and 15%, respectively, of combined ISBL and OSBL costs.&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1453</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1453"/>
		<updated>2014-03-12T05:23:31Z</updated>

		<summary type="html">&lt;p&gt;Julianne: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1452</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1452"/>
		<updated>2014-03-12T05:22:55Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Waste Streams */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1451</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1451"/>
		<updated>2014-03-12T05:22:19Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Equipment Costs */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
The water purge is a dilute aqueous waste stream and will be treated in a wastewater facility at a cost of $1.5/t.  The hydrogen and glycerol purge can be used as heating fuels due to their high heating values.  This will offset waste treatment costs as well as fuel costs.  If the price of heating fuel is taken to be $4.50/GJ [24], this results in savings of $638.10/t H2 and $68/t Glycerol purge.  The solid waste, Na2SO4, can be sold at around $100/t [25].&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1450</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1450"/>
		<updated>2014-03-12T05:18:59Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Optimization */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
Simple distillation columns in HYSYS were used to find initial estimates for tray numbers, reflux ratios, and optimal feed stage location.  Once complex columns were simulated, these specifications were further optimized.  Liquid returned to columns via reflux is cooler than up-flowing vapors.  Heat transfer between the two components improves the efficacy of the distillation tower, reducing the number of trays needed.  However, if a column is operated in total reflux, no product will ever be collected.  The price of each column, utilities costs, product yields were optimized by testing several combinations of reflux ratios and tray numbers.  The temperature of the inlet stream and component fractions should be similar to the tray the feed enters on.  This knowledge was used to optimize the feed tray numbers for each distillation column, decreasing the number of trays needed, the cost of utilities, and increasing the product purity. &lt;br /&gt;
&lt;br /&gt;
Reactor Cost was optimized using Solver in Microsoft Excel 2010.  The cost accounted for the pressure drop across the reactor (Ergun equation), minimum volume necessary to meet target LHSV, and design specifications for pressure vessels including wall thickness and diameter, and minimum heat transfer specifications such as area, jacket spacing, jacket type, and heat transfer fluid type.  Also, several materials were evaluated, including SS304 and SS407, to find the lowest overall cost.&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1449</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1449"/>
		<updated>2014-03-12T05:18:07Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Process Simulation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
The process is modeled in Aspen HYSYS V7.3 using the non-random two-liquid (NRTL) model as the fluid package.  The mass and energy balances are calculated for each piece of equipment and the stream energies and compositions are attached.&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1448</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1448"/>
		<updated>2014-03-12T05:17:26Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Process Overview */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
The process flow diagram (PFD) can be found in Appendix 3.  Incoming glycerol is a byproduct of biodiesel production, usually 40 to 85% glycerol, so it contains fatty acids that must be removed before contacting the fixed-bed reactor catalyst. M-101 mixes the incoming feed with sulfuric acid to remove the fatty acids and produce acidulated glycerol. Acidulated glycerol can contain some amount of methanol, sodium, potassium, sulfur, iron, nickel, chloride or trace impurities. The presence of such impurities in small enough amounts will not negatively affect the production of propylene glycol. The best way to ensure the glycerol mixture will be usable is to ensure that methanol content is &amp;lt;1.5% by weight.  The acidulated glycerol is then moved to mixer M-102, where it is contacted with 1.77 wt% aqueous sodium hydroxide. This mixer will increase pH to ~12; a basic glycerol solution will have a much higher selectivity towards propylene. The pH corrected glycerol stream is then heated to 148.9 °C and mixed with water and glycerol recycle streams in M-103. The outgoing glycerol mixture is then mixed with compressed hydrogen gas in a 2.5:1 hydrogen to glycerol mole ratio. The hydrogen comes from an external gas feed. The resulting liquid/gas mixture is sent to the fixed-bed reactor R-101.&lt;br /&gt;
 &lt;br /&gt;
Hydrogenolysis of glycerol to propylene glycol is carried out in R-101 at 187.8 °C and 5516 kPa. Due to the exothermic nature of the reaction, it is necessary to provide a quench gas stream. In this case, the recycled hydrogen comes in at 72.8 °C, which maintains the reactor temperature at 187.8 °C. The catalyst utilized is a Pd/Co/Re on NORIT ROX 0.8, which provides an 85% conversion of glycerol, with a 91% selectivity to propylene glycol at the given operating conditions. The reactor effluent contains propylene glycol, unreacted glycerol and other byproducts and hydrogen gas. The effluent is sent to V-101, a flash evaporator, where the hydrogen gas is removed from the stream and split into two directions: to be sent off as waste and to be recycled. The waste stream is useful to remove any unwanted gasses that may accumulate over repeated reaction cycles. The resulting propylene glycol mixture is then sent to V-102 for separation and purification.&lt;br /&gt;
 &lt;br /&gt;
V-102, a fractionation tower, removes water and C2 alcohols from the propylene glycol reactor effluent. The overhead stream, containing 96 wt% water and balance C2 alcohols, is recycled. The bottoms of V-102 contain water-free propylene glycol, which is then sent to V-103, another fractionation tower which will separate the desired product from the unreacted glycerol and other byproducts. The overhead stream contains 92.6 wt% propylene glycol. The bottoms stream contains unreacted glycerol, ethylene glycol, sodium salts and other impurities. This is sent to F-101, a solid/liquid filter that will remove the solid salt impurities for disposal. The resulting purified liquid stream can be recycled to the beginning of the process and mixed with incoming feed in M-103.&lt;br /&gt;
 &lt;br /&gt;
The overheads of V-103 are sent to V-104, which will separate propylene glycol from ethylene glycol. The resultant overheads are 99.8 wt% propylene glycol, which is sent to a storage tank. Additionally, the bottoms are 99.9 wt% ethylene glycol, which is also stored in a tank.&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1447</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1447"/>
		<updated>2014-03-12T05:15:19Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Process Model Basis and Assumptions */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
&lt;br /&gt;
The process is based on the design outlined by UOP [11].  The reaction is catalytic hydrogenolysis of glycerol to propylene glycol over a Co/Pd/Re catalyst consisting of 2.5 wt% Co, 0.4 wt% Pd, and 2.4 wt% Re on NORIT ROX 0.8.  The catalyst was reduced at 320 °C in the presence of only H2 prior to use in the reactor.  The reaction is carried out at 225.6 °C and 5516 kPa with a 1.17 LHSV.  The feed enters the reactor at a Hydrogen to glycerol feed ratio of 2.5:1 and at a pH of 12.  At these reactor conditions glycerol conversion and selectivities toward propylene glycol and ethylene glycol are 85%, 91%, and 9%, respectively.  The upper bound for reactor methanol concentration was set at 7 wt% to maintain catalyst performance according to specifications outlined by UOP [11].   &lt;br /&gt;
&lt;br /&gt;
===Feedstocks and Products===&lt;br /&gt;
&lt;br /&gt;
The reactor feed glycerol (including pre-treated  and recycled glycerol) is at 23.16 °C and 5516 kPa  and has a composition of 37.77 wt% glycerol, 54.42 wt% water, .77 wt% NaOH, 3.36 wt% sodium sulfate, 3.63 wt% methanol, and .04 wt% acetic acid [11].  Hydrogen gas is purchased at 187.8 °C and 5516 kPa.  Our main product, propylene glycol, can be sold at industrial grade purity of 99.5 wt% or USP grade purity of 99.8 wt% [22].  One of our byproducts, ethylene glycol, can be sold at a variety of grades, including Polyester grade (99.9 wt%) and Industrial grade (99.1 wt%) [23].&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
==Pre-Treatment==&lt;br /&gt;
&lt;br /&gt;
==Reactor==&lt;br /&gt;
&lt;br /&gt;
==Separations==&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1446</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1446"/>
		<updated>2014-03-12T05:13:46Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Site Conditions and Capacity */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
In the United States, the EPA biofuel mandate for 2014 will be reduced from 18.15 billion gallons to 15-15.52 billion gallons [17], so the production of biodiesel will decrease, decreasing the supply of crude glycerol in the United States.  In South America, Argentina and Brazil are the largest producers of biodiesel, with production in Brazil growing at the fastest rate.  It is estimated that 25-30% of Brazilian glycerol production went to drain in 2010 and 2011, indicating a large supply of inexpensive feedstock [6].  Building a facility in Salvador da Bahia, Brazil not only enables access to this supply of inexpensive glycerol, but also provides access to a port city and thus allows export of propylene glycol to high demand markets such as China and the U.S.  Additional benefits of building in Brazil include the lower corporate tax rate at 34% compared to 40% in the United States [18] and the temperate climate with an almost constant average temperature of 80 °F [19].  Dow Chemical currently operates a conventional propylene glycol facility near Salvador, indicating a potentially strong market in the area [20].  The capacity selected for this project is 10,000 ton/year.  Current plants using comparable technology, such as ADM and Oleon operate at 100,000- and 200,000-tons, respectively [21].  The plant capacity is therefore relatively small, which leaves room for increased production.&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
===Feedstock and Products===&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
==Pre-Treatment==&lt;br /&gt;
&lt;br /&gt;
==Reactor==&lt;br /&gt;
&lt;br /&gt;
==Separations==&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=File:Reaction.PNG&amp;diff=1445</id>
		<title>File:Reaction.PNG</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=File:Reaction.PNG&amp;diff=1445"/>
		<updated>2014-03-12T05:12:40Z</updated>

		<summary type="html">&lt;p&gt;Julianne: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=File:BFD.PNG&amp;diff=1444</id>
		<title>File:BFD.PNG</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=File:BFD.PNG&amp;diff=1444"/>
		<updated>2014-03-12T05:12:02Z</updated>

		<summary type="html">&lt;p&gt;Julianne: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1443</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1443"/>
		<updated>2014-03-12T05:11:32Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Process Technology */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Block Flow Diagram of process alternatives&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
:In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
:[[File:Reaction.PNG]]&lt;br /&gt;
:&#039;&#039;Figure 2.&#039;&#039;  Catalytic hydrogenolysis of glycerol to propylene glycol&lt;br /&gt;
&lt;br /&gt;
:A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
===Feedstock and Products===&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
==Pre-Treatment==&lt;br /&gt;
&lt;br /&gt;
==Reactor==&lt;br /&gt;
&lt;br /&gt;
==Separations==&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1442</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1442"/>
		<updated>2014-03-12T05:07:39Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Process Technology */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
:: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
====Synthesis====&lt;br /&gt;
&lt;br /&gt;
::In all process technologies considered, the basis of the synthesis is hydrogenolysis of glycerol via packed bed reactors with some form of a catalyst, usually copper based. This reaction is shown in Figure 2.  In some cases, the process allows for more reactors to be used in series to achieve a higher conversion.  Much of the variation in the processes being examined is based on different operating conditions and the desired purity of the product, propylene glycol. &lt;br /&gt;
&lt;br /&gt;
====Separation====&lt;br /&gt;
&lt;br /&gt;
[[File:Reaction.PNG]]&lt;br /&gt;
&lt;br /&gt;
::A series of separations is used to separate by-products from propylene glycol. Three step distillations are common; some procedures allow for additional steps, which can change the purity of the product. Common byproducts that need to be separated are methanol, acetol, water, and various other minor alcohol solutions.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
===Feedstock and Products===&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
==Pre-Treatment==&lt;br /&gt;
&lt;br /&gt;
==Reactor==&lt;br /&gt;
&lt;br /&gt;
==Separations==&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1441</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1441"/>
		<updated>2014-03-12T05:06:22Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Process Technology */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
====Pre-Treatment====&lt;br /&gt;
&lt;br /&gt;
:: The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
===Feedstock and Products===&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
==Pre-Treatment==&lt;br /&gt;
&lt;br /&gt;
==Reactor==&lt;br /&gt;
&lt;br /&gt;
==Separations==&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1440</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1440"/>
		<updated>2014-03-12T05:04:36Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Process Technology */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:BFD.PNG]]&lt;br /&gt;
&lt;br /&gt;
The production of propylene glycol from glycerol requires technical grade glycerol, which means a crude glycerol feed must undergo pre-treatment before entering the reactor. For different grades of glycerol the specific process will change, but it will generally be necessary for feeds to be purified, mixed, and heated before high purity glycerol is sent to the synthesis stage. In the GTC process, glycerol, hydrogen and methanol are mixed and heated to anywhere from 150 °C to 240 °C, at pressures between 20 and 80 atm. The preferred composition of the mixture assumes an already pure glycerol feed to be mixed, so any glycerol purchased at lower purities must be distilled to purity before entering the mixer and heater. The Lanzhou and Petroleo Brasileiro processes describe vacuum filtration and distillation of crude glycerol to remove impurities such as sodium, chloride, sulfur and phosphorous salts, fatty acids, phospholipids, glycerides, soaps and biodiesel residues. Any of these impurities can kill the catalyst used downstream.  The treated glycerol purity is between 90 – 100%.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
===Feedstock and Products===&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
==Pre-Treatment==&lt;br /&gt;
&lt;br /&gt;
==Reactor==&lt;br /&gt;
&lt;br /&gt;
==Separations==&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1439</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1439"/>
		<updated>2014-03-12T04:58:39Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Process Technology */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
Several different processes have been proposed for the conversion of glycerol to propylene glycol.  These include UOP [11], Davy Process Technology [13], GTC Technology [12], the Lanzhou Institute process [14], the Petroleo Brasileiro [15] process, and ADM [16].  These methods all employ catalytic hydrogenolysis and proceed using the same general pathway, show in Figure 1.&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
===Feedstock and Products===&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
==Pre-Treatment==&lt;br /&gt;
&lt;br /&gt;
==Reactor==&lt;br /&gt;
&lt;br /&gt;
==Separations==&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1438</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1438"/>
		<updated>2014-03-12T04:57:23Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Market Analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
The overabundance of glycerol caused by the growing biodiesel market has driven prices for glycerol to about $200/ton [4, 5].  As shown in Appendix 7, the supply of glycerol will continue to outpace the demand in 2014 at a growth rate of 2.5% per annum [6].&lt;br /&gt;
&lt;br /&gt;
The production grades of glycerol are crude, technical grade, and USP (United States Pharmaceutical) grade.  Crude glycerol comes from production of biodiesel and contains 40-88% glycerol with significant amounts of salt, water, soaps, and methanol.  Technical grade glycerol is a refined product with a minimum 98% glycerol content and no salt, soaps, methanol, or other contaminants.  USP grade glycerol is a pharmaceutical grade for use in the food, pharmaceutical, and cosmetics industries [7].  &lt;br /&gt;
&lt;br /&gt;
Commercial sources of glycerol other than biodiesel production include fatty acids, fatty alcohols and from the soap industry via the saponification process [5].  Glycerol is recognized as safe for animals and humans and environmentally benign, with no significant environmental regulations.  The material safety data sheet (MSDS) for glycerol is provided in Appendix 1.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is conventionally produced using propylene oxide.  It is, therefore, sensitive to the price and availability of petroleum and associated products [2].  For this reason, propylene glycol is relatively expensive at around $2500/ton [8].  Supply of propylene glycol struggles to keep up with an increasing annual global demand currently at 1.8m tons [9].  The ability to isolate propylene glycol production from petroleum by using inexpensive glycerol as a feedstock would be hugely advantageous.  &lt;br /&gt;
&lt;br /&gt;
Propylene glycol is used in several applications, including the food, pharmaceutical, and cosmetics industries, as well as in liquid detergents, functional fluids, and unsaturated polyesters [10].  The two grades of propylene glycol are industrial (99.5% purity) and USP/EP (99.8% purity) [6]. Like glycerol, propylene glycol is recognized as safe for animals and humans.  Because propylene glycol is biodegradable, it is not considered harmful to the environment and, thus, there are no significant environmental regulations.  The MSDS for propylene glycol can be found in Appendix 2.&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
===Feedstock and Products===&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
==Pre-Treatment==&lt;br /&gt;
&lt;br /&gt;
==Reactor==&lt;br /&gt;
&lt;br /&gt;
==Separations==&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1437</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1437"/>
		<updated>2014-03-12T04:56:07Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Introduction */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
Various political, economic, and environmental concerns over the past decades have led to a desire to decrease dependence on fossil fuels for energy.  One alternative is biofuel, or fuel derived from living organisms.  Several countries and organizations have worked to promote the use of biofuels.  In the United States, the Energy Independence and Security Act (EISA) of 2007 mandated that the volume of renewable fuels blended into transportation fuels be 36 billion gallons by 2022 [1].  Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification.  For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol [2].  This reaction alone accounted for approximately 65% of total glycerol production in 2011 [3].  The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol.&lt;br /&gt;
&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
===Feedstock and Products===&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
==Pre-Treatment==&lt;br /&gt;
&lt;br /&gt;
==Reactor==&lt;br /&gt;
&lt;br /&gt;
==Separations==&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1436</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1436"/>
		<updated>2014-03-12T04:55:38Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Executive Summary */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
Biodiesel is a biofuel alternative to petroleum diesel. One of the main pathways of biodiesel production is through transesterification. For each unit of biodiesel converted using this reaction, approximately 10% by weight will be recovered as by-product glycerol. This reaction alone accounted for approximately 65% of total glycerol production in 2011. The growing biodiesel market has created an abundance of inexpensive glycerol, which can be converted into higher value products such as propylene glycol. After conducting a thorough review of the literature, a process was developed based on existing UOP patented technology. This process produces propylene glycol via hydrogenolysis of glycerol. The reaction is carried out at 370 °F and 800 psi, which results in 85% conversion of glycerol with a 91% selectivity to propylene glycol, balance ethylene glycol. The main product is purified to 99.8 wt% to meet USP/EP grade.  The main byproduct, ethylene glycol, is sold at 99.9 wt%.  The process was simulated in Aspen HYSYS V7.3 to determine material balances and overall energy requirements. The process uses 16,919 tons of crude glycerol a year to produce 9,601 tons of propylene glycol and 759 tons of ethylene glycol year. This requires 823,680 tons of water, 609,840 tons of steam and 229,680 kWh a year. The sizing and cost analysis for each of the individual machines and utilities as well as the overall economic analysis have also been examined.  The project is estimated to cost 7.63 $MM in capital and 12.3 $MM annual cost of production.  The total project revenue comes out to 25.9 $MM each year.  After an economic analysis the process was determined to have a 10 year NPV of 4.11 $MM and 20 year NPV of 7.9 $MM with respective IRR of 30% and 34%.  These numbers were calculated using 20% cost of capital, a 34% tax rate and a 10 year MACRS depreciation.  The project was deemed to be highly profitable and is recommended to move forward when possible.&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
===Feedstock and Products===&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
==Pre-Treatment==&lt;br /&gt;
&lt;br /&gt;
==Reactor==&lt;br /&gt;
&lt;br /&gt;
==Separations==&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1435</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1435"/>
		<updated>2014-03-12T03:06:04Z</updated>

		<summary type="html">&lt;p&gt;Julianne: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
=Introduction=&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
===Feedstock and Products===&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
&lt;br /&gt;
==Pre-Treatment==&lt;br /&gt;
&lt;br /&gt;
==Reactor==&lt;br /&gt;
&lt;br /&gt;
==Separations==&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
=Equipment Costs=&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Works Cited=&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1434</id>
		<title>Design 2</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Design_2&amp;diff=1434"/>
		<updated>2014-03-12T02:43:07Z</updated>

		<summary type="html">&lt;p&gt;Julianne: Created page with &amp;quot;=Executive Summary= =Introduction= =Design Basis=  ==Market Analysis==  ==Process Technology==  ==Site Conditions and Capacity==  ==Process Model Basis and Assumptions==  ===R...&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Executive Summary=&lt;br /&gt;
=Introduction=&lt;br /&gt;
=Design Basis=&lt;br /&gt;
&lt;br /&gt;
==Market Analysis==&lt;br /&gt;
&lt;br /&gt;
==Process Technology==&lt;br /&gt;
&lt;br /&gt;
==Site Conditions and Capacity==&lt;br /&gt;
&lt;br /&gt;
==Process Model Basis and Assumptions==&lt;br /&gt;
&lt;br /&gt;
===Reactor===&lt;br /&gt;
===Feedstock and Products===&lt;br /&gt;
&lt;br /&gt;
=Process Simulation=&lt;br /&gt;
&lt;br /&gt;
=Heat Transfer=&lt;br /&gt;
&lt;br /&gt;
=Optimization=&lt;br /&gt;
&lt;br /&gt;
=Equipment Cost Summary=&lt;br /&gt;
&lt;br /&gt;
=Waste Streams=&lt;br /&gt;
&lt;br /&gt;
=Material Prices=&lt;br /&gt;
&lt;br /&gt;
=Fixed Operating Costs=&lt;br /&gt;
&lt;br /&gt;
=Utilities and Pinch Analysis=&lt;br /&gt;
&lt;br /&gt;
=Economic Analysis=&lt;br /&gt;
&lt;br /&gt;
=Sensitivity Analysis=&lt;br /&gt;
&lt;br /&gt;
=Conclusion=&lt;br /&gt;
&lt;br /&gt;
=Process Overview=&lt;br /&gt;
=Process Schedule=&lt;br /&gt;
=Design Considerations=&lt;br /&gt;
&lt;br /&gt;
==Pre-Treatment==&lt;br /&gt;
&lt;br /&gt;
===Pre-Treatment Assumptions===&lt;br /&gt;
===Pre-Treatment Discussion===&lt;br /&gt;
        8.1.4 Milling Possible Errors&lt;br /&gt;
&lt;br /&gt;
    8.2 Fermentation&lt;br /&gt;
        8.2.1 Fermentation Results&lt;br /&gt;
        8.2.2 Mode of Operation&lt;br /&gt;
        8.2.3 Choice of Bacteria&lt;br /&gt;
        8.2.4 Growth Medium&lt;br /&gt;
        8.2.5 Yeast Separation Method&lt;br /&gt;
        8.2.6 Yeast Propagation&lt;br /&gt;
        8.2.7 Fermentation Assumptions&lt;br /&gt;
        8.2.8 Fermentation Possible Errors&lt;br /&gt;
    8.3 Separations&lt;br /&gt;
        8.3.1 Separation Results&lt;br /&gt;
        8.3.2 Separations Assumptions&lt;br /&gt;
        8.3.3 Separations Discussion&lt;br /&gt;
        8.3.4 Separations Possible Error&lt;br /&gt;
    8.4 Utilities&lt;br /&gt;
        8.4.1 Heat Exchanger Network&lt;br /&gt;
        8.4.2 Co-Generation Plant&lt;br /&gt;
        8.4.3 Water Treatment Plant&lt;br /&gt;
        8.4.4 In-Process Water Recycling&lt;br /&gt;
        8.4.5 Cooling Pond&lt;br /&gt;
    8.5 Safety&lt;br /&gt;
    8.6 Reliability&lt;br /&gt;
    8.7 Process Controls&lt;br /&gt;
&lt;br /&gt;
9 Conclusions&lt;br /&gt;
10 Recommendations&lt;br /&gt;
11 Works Cited&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Main_Page&amp;diff=1433</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Main_Page&amp;diff=1433"/>
		<updated>2014-03-12T02:29:22Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Chemical Process Design Projects */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;!-- Header table. Introduction. --&amp;gt;&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;padding:5px&amp;quot; valign=&amp;quot;top&amp;quot; width = &amp;quot;1080&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
|&lt;br /&gt;
&#039;&#039;&#039;Welcome to the Northwestern University Chemical Process Design Open Textbook.&#039;&#039;&#039; &amp;lt;br /&amp;gt;&lt;br /&gt;
This electronic textbook is a student-contributed open-source text covering the materials used in our chemical engineering capstone design courses at Northwestern.&lt;br /&gt;
|-&lt;br /&gt;
|&lt;br /&gt;
If you have any comments or suggestions on this open textbook, please contact [//www.mccormick.northwestern.edu/directory/profiles/Fengqi-You.html  Professor Fengqi You].&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;font size=&amp;quot;5&amp;quot;&amp;gt;Northwestern University Chemical Process Design Open Text Book&amp;lt;/font&amp;gt;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
&amp;lt;!-- Table of Contents --&amp;gt;&lt;br /&gt;
__TOC__&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|- valign=&amp;quot;top&amp;quot; style=&amp;quot;border: 1px solid red; padding:1px&amp;quot;&lt;br /&gt;
| &lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;border: 1px solid darkgray; padding:5px;&amp;quot; width=&amp;quot;590&amp;quot;&lt;br /&gt;
|- valign=&amp;quot;top&amp;quot;&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
= Chemical Process Design Theory and Method =&lt;br /&gt;
|-&lt;br /&gt;
|&lt;br /&gt;
==Design Basis==&lt;br /&gt;
# [[Define product and feed]] (S1)&lt;br /&gt;
# [[Preliminary market analysis and plant capacity]] (G2)&lt;br /&gt;
# [[Site condition and design]] (H)&lt;br /&gt;
# [[Block Flow Diagram| Block flow diagram]] (S2)&lt;br /&gt;
|-&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
==Process Flow Diagram==&lt;br /&gt;
# [[Process alternatives and flowsheeting]] (H)&lt;br /&gt;
# [[Reactors]] (G2)&lt;br /&gt;
# [[Separation processes]] (S2)&lt;br /&gt;
# [[Process hydraulics]] (S1)&lt;br /&gt;
# [[Heat Transfer Equipment| Heat transfer equipment: Heat exchangers, boilers, condensers, heaters and coolers]]&lt;br /&gt;
# [[Utility systems]]&lt;br /&gt;
# [[Pressure Vessels| Pressure vessels]]&lt;br /&gt;
|-&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
==Process Economics==&lt;br /&gt;
# [[Estimation of capital]] (H)&lt;br /&gt;
# [[Estimation of production cost and revenue]] (S2) &lt;br /&gt;
# [[Engineering economic analysis]] (S1)&lt;br /&gt;
# [[Sensitivity analysis and design optimization]] (G1)&lt;br /&gt;
|-&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
==Other Process Design Considerations==&lt;br /&gt;
# [[Process safety]] (G1)&lt;br /&gt;
# [[Process hazards]] (G1)&lt;br /&gt;
# [[Environmental concerns]] (G2)&lt;br /&gt;
# Controls and P&amp;amp;ID &lt;br /&gt;
|}&lt;br /&gt;
| width=&amp;quot;5&amp;quot; height=&amp;quot;100%&amp;quot; border=&amp;quot;0&amp;quot; |&lt;br /&gt;
|&lt;br /&gt;
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{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;border: 1px solid darkgray&amp;quot; padding:5px; width=&amp;quot;480&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
=Chemical Process Design Projects=&lt;br /&gt;
|-&lt;br /&gt;
|&lt;br /&gt;
== Examples ==&lt;br /&gt;
* [[Sugar Cane Ethanol Plant]] (2011)&lt;br /&gt;
* Other examples&lt;br /&gt;
|-&lt;br /&gt;
|&lt;br /&gt;
&lt;br /&gt;
==Glycerol to propylene glycol==&lt;br /&gt;
* Design 1 (2014)&lt;br /&gt;
* [[Design 2]] (2014)&lt;br /&gt;
|-&lt;br /&gt;
|&lt;br /&gt;
==Succinic acid to 1,4-butanediol==&lt;br /&gt;
* Design 1 (2014)&lt;br /&gt;
* Design 2 (2014)&lt;br /&gt;
|-&lt;br /&gt;
|&lt;br /&gt;
==Hydrogen Student Design Contest==&lt;br /&gt;
* [[Drop-in Hydrogen Fueling (2014)]]&lt;br /&gt;
|}&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Guide to Use Wiki&#039;&#039;&#039;&lt;br /&gt;
* [[Editing_help| Quick Guide to MediaWiki Editing]]&lt;br /&gt;
* [//meta.wikimedia.org/wiki/Help:Contents MediaWiki User&#039;s Guide]&lt;br /&gt;
* [//www.mediawiki.org/wiki/Manual:FAQ MediaWiki FAQ]&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=File:Hydrocracking.png&amp;diff=1074</id>
		<title>File:Hydrocracking.png</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=File:Hydrocracking.png&amp;diff=1074"/>
		<updated>2014-02-10T05:16:00Z</updated>

		<summary type="html">&lt;p&gt;Julianne: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1073</id>
		<title>Reactors</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1073"/>
		<updated>2014-02-10T05:14:56Z</updated>

		<summary type="html">&lt;p&gt;Julianne: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Title: Reactors&lt;br /&gt;
&lt;br /&gt;
Author: Sean Cabaniss, David Park, Maxim Slivinsky and Julianne Wagoner&lt;br /&gt;
&lt;br /&gt;
Steward: Fengqi You&lt;br /&gt;
&lt;br /&gt;
Date Presented: February 4, 2014 &lt;br /&gt;
&lt;br /&gt;
&amp;lt;!-- Table of Contents --&amp;gt;&lt;br /&gt;
__TOC__&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
&lt;br /&gt;
The center of any chemical process is the reactor, where chemical reactions are carried out to transform feeds into products.  Reactor design is a vital step in the overall design of a process.  It is important to ensure that the equipment specified will be capable of achieving the desired yields and selectivity. &lt;br /&gt;
&lt;br /&gt;
==Ideal Reactors==&lt;br /&gt;
&lt;br /&gt;
===Batch Reactors===&lt;br /&gt;
&lt;br /&gt;
In a batch reactor, the reagents are added together and allowed to react for a given amount of time.  The compositions change with time, but there is no flow through the process.  Additional reagents may be added as the reaction proceeds, and changes in temperature may also be made.  Products are removed from the reactor after the reaction has proceeded to completion.&lt;br /&gt;
&lt;br /&gt;
Batch processes are suitable for small-scale production (less than 1,000,000 lb/yr) and for processes where several different products or grades are to be produced in the same equipment [5].  When production volumes are relatively small and/or the chemistry is relatively complex, batch processing provides an important means of quality control.&lt;br /&gt;
&lt;br /&gt;
===Plug Flow Reactor (PFR)===&lt;br /&gt;
&lt;br /&gt;
A PFR with tubular geometry has perfect radial mixing but no axial mixing.  All materials hav the same residence time, τ, and experience the same temperature and concentration profiles along the reactor.  Equation for PFR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;dM = \Re dV&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where M = molar flow rate, dV is the incremental volume, and &amp;lt;math&amp;gt;\Re&amp;lt;/math&amp;gt; is the rate of reaction per unit volume.&lt;br /&gt;
&lt;br /&gt;
This equation can be integrated along the length of the reactor to yield relationships between reactor resident time and concentration or conversion.&lt;br /&gt;
&lt;br /&gt;
===Continuously Stirred Tank Reactor (CSTR)===&lt;br /&gt;
&lt;br /&gt;
The stirred tank reactor models a large scale conventional laboratory flask and can be considered to be the basic chemical reactor.  In a CSTR, shown in Figure 1, there is no spatial variation- the entire vessel contents are at the same temperature, pressure, and concentration.  Therefore the fluid leaving the reactor is at the same temperature and concentration as the fluid inside the reactor.&lt;br /&gt;
&lt;br /&gt;
The material balance across the CSTR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;M_\text{in}-M_\text{out}= \Re V&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Some of the material the enters the reactor can leave immediately, while some leaves much later, so there is a broad distribution in residence time as shown in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:CSTR.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Continuously Stirred Tank Reactor [1]&lt;br /&gt;
&lt;br /&gt;
More information on stirred tanks can be found in the [[#Mixing in Industrial Reactors|Mixing]] section.&lt;br /&gt;
&lt;br /&gt;
=General Reactor Design=&lt;br /&gt;
&lt;br /&gt;
The design of the reactor should not be carried out separately from the overall process design due to the significant impact on capital and operating costs on other parts of the process[1].  &lt;br /&gt;
&lt;br /&gt;
==Step 1: Collect Required Data==&lt;br /&gt;
&lt;br /&gt;
Out of all process equipment, reactor design requires the most process input data: reaction enthalpies, phase-equilibrium constants, heat and mass transfer coefficients, as well as reaction rate constants.  All of the aforementioned parameters can be estimated using simulation models or literature correlations except for reaction rate constant constants, which need to be determined experimentally [1].&lt;br /&gt;
&lt;br /&gt;
===Enthalpy of Reaction===&lt;br /&gt;
&lt;br /&gt;
: The heat given out in a chemical reaction is based on the enthalpies of the component chemical reactions, which are given for standard temperature and pressure (1 atm, 25 C).  Values for standard heats of reaction can be found tabulated in literature, or can be calculated from heats of formation or combustion.  Care must be taken to quote the basis for the heat of reaction and the states of reactants and products.&lt;br /&gt;
&lt;br /&gt;
: The following equation is used to convert enthalpies from standard conditions to the process conditions:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,P,T} = \Delta H_\text{r}^{\circ} + &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: If the effect from pressure is not significant and only Temperature needs to be accounted for, the following equation should be used:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,T} = \Delta H_\text{r}^{\circ} + \Delta H_\text{prod.} + \Delta H_\text{react.}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Equilibrium Constant and Gibbs Free Energy===&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta G = -\mathbf{R} T \ln K &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: Where &amp;lt;math&amp;gt;\Delta G&amp;lt;/math&amp;gt; is the change in Gibbs free energy from the reaction at temperature &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;\mathbf{R}&amp;lt;/math&amp;gt; is the ideal gas constant, and &amp;lt;math&amp;gt;K&amp;lt;/math&amp;gt; is the reaction equilibrium constant, given by:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;K = \prod_{i=1}^n {a_i}^{\alpha_i} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: where &amp;lt;math&amp;gt;a_i&amp;lt;/math&amp;gt; is the activity of component i, &amp;lt;math&amp;gt;\alpha_i&amp;lt;/math&amp;gt; is the stoichiometric coefficient of component &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt;, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the total number of components.&lt;br /&gt;
&lt;br /&gt;
: Equilibrium constants can be found in the literature and are useful for evaluating the rates of forward and reverse reactions.  Care must be taken to the experimental design used for the literature equilibrium constants to make sure they are consistent with the conditions of the actual process reactor.  For more complicated reactions consisting of several sequential or simultaneous reactions, the equilibrium is found by minimizing the Gibbs free energy [1].  Commercial process simulation programs use the Gibbs reactor model in this way.  &lt;br /&gt;
&lt;br /&gt;
===Reaction Mechanisms, Rate Equations, and Rate Constants===&lt;br /&gt;
&lt;br /&gt;
: In most cases the main process reaction rate equations and rate constants cannot be predicted from first principles and must be approximated [1].  This is due to the following:&lt;br /&gt;
&lt;br /&gt;
* Use of heterogeneous catalysis or enzymes which lead to Langmuir-Hinshelwood-Hougen-Watson or Michaelis-Menten kinetics&lt;br /&gt;
* Mass transfer between vapor and liquid or two liquid phases&lt;br /&gt;
* Multistep mechanisms whose rate expressions do not follow overall reaction stoichiometry&lt;br /&gt;
* Competing side reactions&lt;br /&gt;
&lt;br /&gt;
: As a result the main process reaction is usually approximated as first- or second-order over a narrow range of process conditions (temperature, pressure, species concentrations) to estimate the residence time required for a target conversion.  Rate equations are always a fit for experimental data and should thus be used for interpolation within the data.  It is important to collect more data when extrapolating, especially for exothermic reactions which have the potential for runaway [1].&lt;br /&gt;
&lt;br /&gt;
===Heat and Mass Transfer Properties===&lt;br /&gt;
&lt;br /&gt;
====Heat Transfer====&lt;br /&gt;
:: The design of internal heating or cooling devices can be found in [https://processdesign.mccormick.northwestern.edu/index.php/Heat_Transfer_Equipment Heat Transfer Equipment].  Correlations for tube-side heat-transfer coefficients for catalyst-packed tubes of a heat exchanger are given below:&lt;br /&gt;
&lt;br /&gt;
:: For heating: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = .813 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.9} e^{-6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for cooling: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = 3.50 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.7} e^{-4.6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt; is the tube-side heat transfer coefficient for a packed tube, &amp;lt;math&amp;gt;d_t&amp;lt;/math&amp;gt; is the tube diameter, &amp;lt;math&amp;gt;\lambda_f&amp;lt;/math&amp;gt; is the fluid thermal conductivity, &amp;lt;math&amp;gt;\rho_f&amp;lt;/math&amp;gt; is the fluid density, &amp;lt;math&amp;gt;u&amp;lt;/math&amp;gt; is the superficial velocity, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the effective particle diameter, and &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the fluid viscosity.&lt;br /&gt;
&lt;br /&gt;
====Diffusion Coefficients====&lt;br /&gt;
&lt;br /&gt;
:: Diffusion coefficients are necessary when mass transfer can limit the rate of reaction, such as in catalytic reactions or reactions involving mass transfer processes such as gas absorption, distillation, and liquid-liquid extraction.  &lt;br /&gt;
&lt;br /&gt;
:: The diffusivity for gases can be estimated by the following correlation (Fuller, Schettler, Giddings):&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_v = \frac{1.013 \times 10^{-7} T^{1.75} {\left ( \frac{1}{M_a} + \frac{1}{M_b} \right )}^{1/2} }{P {\left [ {\left ( \sum_{a} v_i  \right )}^{1/3}  + {\left ( \sum_{b} v_i  \right )}^{1/3}  \right ]}^2  } &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_v&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is temperature, &amp;lt;math&amp;gt;M_a , M_b&amp;lt;/math&amp;gt; are the molecular masses of components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;P&amp;lt;/math&amp;gt; is the total pressure, and &amp;lt;math&amp;gt;\sum_{a} v_i , \sum_{b} v_i&amp;lt;/math&amp;gt; are the summation of special diffusion volume coefficients for components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, given in the table below:&lt;br /&gt;
&lt;br /&gt;
:: (volume coefficient table from towler)&lt;br /&gt;
&lt;br /&gt;
:: Wilke and Chang developed a correlation for estimating the diffusivity of components in the liquid phase:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_L =  \frac{1.173 \times 10^{-13} {(\phi M_w)}^{1/2} T}{\mu V_m^{.6}} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid diffusivity, &amp;lt;math&amp;gt;\phi&amp;lt;/math&amp;gt; is an association factor for the solvent, &amp;lt;math&amp;gt;M_w&amp;lt;/math&amp;gt; is the molecular mass of the solvent, &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the solvent viscosity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is the temperature, and &amp;lt;math&amp;gt;V_m&amp;lt;/math&amp;gt; is the molar volume of the solute at its boiling point.  This correlation holds for organic compounds in water but not for water in organic solvents.&lt;br /&gt;
&lt;br /&gt;
====Mass Transfer====&lt;br /&gt;
&lt;br /&gt;
:: For multiphase reactors it is necessary to estimate the mass transfer coefficient.  &lt;br /&gt;
&lt;br /&gt;
:: The equation of Gupta and Thodos predicts the mass transfer coefficient for a packed bed of particles:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac{k d_p}{D} = 2.06 \frac{1}{\epsilon} {Re}^{.425} {Sc}^{.33} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the particle diameter, &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;Re&amp;lt;/math&amp;gt; is the Reynolds number calculated using the superficial velocity through the bed, &amp;lt;math&amp;gt;Sc&amp;lt;/math&amp;gt; is the Schmidt number,  and &amp;lt;math&amp;gt;\epsilon&amp;lt;/math&amp;gt; is the bed void fraction.&lt;br /&gt;
&lt;br /&gt;
:: Mass transfer between vapor and liquid in an agitated vessel can be described by the Van&#039;t Riet equations:&lt;br /&gt;
&lt;br /&gt;
:: For air-water: &amp;lt;math&amp;gt; k_L a = 0.026 {\left ( \frac{P_a}{V_{liq}} \right )}^{.4} Q^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for air-water-electrolyte: &amp;lt;math&amp;gt; k_L a = 0.002 {\left ( \frac{P_a}{V_{liq}} \right )}^{.7} Q^{.2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k_L&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; is the interfacial area per unit volume, &amp;lt;math&amp;gt;Q&amp;lt;/math&amp;gt; is the gas volumetric flow rate, &amp;lt;math&amp;gt;V_{liq}&amp;lt;/math&amp;gt; is the liquid volume, and &amp;lt;math&amp;gt;P_a&amp;lt;/math&amp;gt; is the agitator power input.&lt;br /&gt;
&lt;br /&gt;
:: Fair&#039;s method for calculating the mass transfer coefficient for low viscosity systems is given by:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac {{(k_L a)}_{system}}{{(k_L a)}_{air-water}} = {\left ( \frac{D_{L,system}}{D_{L, air-water}} \right )}^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid phase diffusivity.  &lt;br /&gt;
&lt;br /&gt;
:: Mass transfer correlations for vapor-liquid systems should be used with caution when there are surfactants [1].&lt;br /&gt;
&lt;br /&gt;
==Step 2: Select Reaction Conditions==&lt;br /&gt;
&lt;br /&gt;
===Chemical or Biochemical Reaction===&lt;br /&gt;
&lt;br /&gt;
===Catalyst===&lt;br /&gt;
&lt;br /&gt;
===Temperature===&lt;br /&gt;
&lt;br /&gt;
===Pressure===&lt;br /&gt;
&lt;br /&gt;
===Reaction Phase===&lt;br /&gt;
&lt;br /&gt;
===Solvent===&lt;br /&gt;
&lt;br /&gt;
===Concentrations===&lt;br /&gt;
&lt;br /&gt;
==Step 3: Determine Materials of Construction==&lt;br /&gt;
&lt;br /&gt;
A preliminary analysis of the materials of construction for the reactor can be conducted after the reaction conditions have been specified.  Particularly important in this analysis are the temperatures and pressures the process will run at.  At extreme conditions, costly alloys may need to be used.  In addition, the designer must ensure that process streams will not react with materials used in process equipment.&lt;br /&gt;
&lt;br /&gt;
==Step 4: Determine Rate-Limiting Step and Critical Sizing Parameters==&lt;br /&gt;
&lt;br /&gt;
The key parameters that determine the extent of reaction must be identified by carrying out an experiment plan with a broad range of conditions.  In general, the rate of reaction is usually limited by the following fundamental processes.  The first three have been discussed in previous sections.  Mixing will be developed in more detail in its own section. &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Intrinsic kinetics:&#039;&#039;&#039; There will usually be one slowest step that governs the overall rate.&lt;br /&gt;
* &#039;&#039;&#039;Mass-transfer rate:&#039;&#039;&#039; In multiphase reactions and processes that use porous heterogeneous catalysis, mass transfer can be particularly important.  Often, careful experimentation will be needed to separate the effects of mass transfer and the rate of reaction to determine which is the rate-limiting step. &lt;br /&gt;
* &#039;&#039;&#039;Heat-transfer rate:&#039;&#039;&#039; The rate of heat addition can become the governing parameter for endothermic reactions.  Heat-transfer devices such as heat exchangers or fired heaters may need to be used.&lt;br /&gt;
* &#039;&#039;&#039;Mixing:&#039;&#039;&#039; The time taken to mix the reagents can be the limiting step for very fast reactions.&lt;br /&gt;
&lt;br /&gt;
Once rate data have been collected, the designer can fit a suitable model of reaction kinetics.  Next, a critical sizing parameter can be specified for the reactor.  This will usually be one of the parameters given in Figure 1.  &lt;br /&gt;
&lt;br /&gt;
:: [[File:Sizing_Parameters.PNG]]&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;i&amp;gt;Figure 1&amp;lt;/i&amp;gt;. Reactor Sizing Parameters [1]&lt;br /&gt;
&lt;br /&gt;
==Step 5: Preliminary Sizing, Layout, and Costing of Reactor==&lt;br /&gt;
&lt;br /&gt;
The designer can estimate the reactor and catalyst volume from the sizing parameter.  This calculation will yield a value for the active reacting volume necessary.  Clearly, the actual reactor will need additional space.  The geometry of the reactor will depend on the desired flow pattern and mixing requirements [1].  The cost of most reactors can be estimated by determining the cost of a pressure vessel with the same dimensions and adding in the cost of the internals [1].&lt;br /&gt;
&lt;br /&gt;
==Step 6: Estimate Reactor Performance==&lt;br /&gt;
&lt;br /&gt;
At this point in the design process, it is important to verify that the proposed reactor will achieve the target conversions and selectivities.  A combination of experimental methods, such as pilot plants, and computer simulations can be used to predict the full-scale reactor performance.&lt;br /&gt;
&lt;br /&gt;
==Step 7: Optimize the Design==&lt;br /&gt;
&lt;br /&gt;
The reactor is typically a relatively small fraction of the total capital cost [1], so minimal time should be devoted to optimization to reduce the reactor cost.  However, if the target conversion, yields, and selectivities are not met, the process economics could be significantly impacted.  Therefore, steps 2 to 6 should be repeated at least until the minimum specifications are met [1].&lt;br /&gt;
&lt;br /&gt;
=Mixing in Industrial Reactors=&lt;br /&gt;
&lt;br /&gt;
Mixing plays an important role in many processing stages, including reactor performance.  It is critical to select the appropriate method of mixing in order to ensure the process produces the desired process yields, product purity, and cost effectiveness.  &lt;br /&gt;
&lt;br /&gt;
Correlations such as the Reynolds number can be used to determine the extent of mixing and correlate power consumption and heat transfer to the reactor shell [2].  In some cases, simple correlations may not be adequate:&lt;br /&gt;
* If dead zones cannot be tolerated for reasons of product purity, safety, 	etc.&lt;br /&gt;
* If reactor internals are complex&lt;br /&gt;
* If reaction selectivity is very sensitive to mixing&lt;br /&gt;
In these cases, it is usually necessary to carry out a more sophisticated analysis of mixing:&lt;br /&gt;
* Use computational fluid dynamics to model the reactor &lt;br /&gt;
* Use physical modeling (“cold flow”) experiments&lt;br /&gt;
* Use tomography methods to look at performance of real reactor&lt;br /&gt;
&lt;br /&gt;
==Gas Mixing==&lt;br /&gt;
Gases mix easily because of their low viscosities.  The mixing given by turbulent flow in a length of pipe is usually sufficient for most purposes [1].  Orifices, vanes, and baffles can be used to increase turbulence.  &lt;br /&gt;
&lt;br /&gt;
==Liquid Mixing==&lt;br /&gt;
*&#039;&#039;&#039;Inline Mixing&#039;&#039;&#039; Inline mixers can be used for the continuous mixing of low-viscosity fluids.  One inexpensive method involves the use of static devices that promote turbulent mixing in pipelines.  Some typical designs are shown in Figures 2(a), (b), and (c).&lt;br /&gt;
&lt;br /&gt;
::[[File:Static_Mixers.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 2.&#039;&#039; Inline mixers: (a) tee; (b) injection; (c) annular [1]&lt;br /&gt;
&lt;br /&gt;
:: When mixing low viscosity fluids (&amp;lt;50 mNs/m&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) with similar densities and flow rates, a simple mixing tee, Figure 2(a), followed by a length of pipe equal to 10 to 20 pipe diameters, is suitable [1].&lt;br /&gt;
:: When one flow is much lower than the other, an injection mixer, Figure 2(b&amp;amp;c), should be used.  A satisfactory blend will be achieved in about 80 pipe diameters [1].  Baffles or other flow restrictions can be used to reduce the mixing length required.  These mixers work by introducing one fluid into the flowing stream of the other through a concentric pipe or an annular array of jets [1].&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;Stirred Tanks&#039;&#039;&#039;  Stirred tanks were discussed in the [[#Ideal Reactors|Ideal Reactors]] section.  Mixing is conducted by an impeller mounted on a shaft driven by a motor.  The reactor usually contains baffles or other internals to induce turbulence and prevent the contents from swirling and creating a vortex.  Typically, baffles are 1/10 of diameter and located 1/20 of diameter from wall [2].  A typical arrangement of agitator and baffles in a stirred tank, and the flow pattern generated, is shown in Figure 3.  Mixing occurs through the bulk flow of the liquid and by the motion of the turbulent eddies created by the agitator.  Bulk flow is the predominant mixing mechanism required for the blending of miscible liquids and for solids suspension. Turbulent mixing is important in operations involving mass and heat transfer, which can be considered as shear-controlled processes [1].  &lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Arrangements.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 3.&#039;&#039; Agitator arrangements and flow patterns [1]&lt;br /&gt;
&lt;br /&gt;
:At high Reynolds numbers (low viscosity), one of the three basic types of impeller shown in Figure 4 should be used.  For processes controlled by turbulent mixing, the flat-bladed (Rushton) turbines are appropriate.  For bulk mixing, the propeller and pitched-bladed turbines are appropriate [1]. &lt;br /&gt;
&lt;br /&gt;
::[[File:Impeller_Types.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 4.&#039;&#039; Basic impeller types [1]&lt;br /&gt;
&lt;br /&gt;
:For more viscous fluids, paddle, anchor, and helical ribbon agitators (Figures 5(a), (b), and (c)), are used [1].  The selection chart given in Figure 6 can be used to make a preliminary selection of the agitator type, based on the liquid viscosity and tank volume [1].&lt;br /&gt;
&lt;br /&gt;
::[[File:Low_Speed_Agitators.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 5.&#039;&#039; Low-speed agitators [1]&lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Selection_Guide.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 6.&#039;&#039; Agitator selection guide [1]&lt;br /&gt;
&lt;br /&gt;
==Gas-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Gases can be mixed into liquids using the inline mixing or stirred tank methods discussed previously.  A special type of gas injector, called a sparger (shown in Figure 7) can also be used.  This is a long injection tube with multiple holes drilled in it.  &lt;br /&gt;
&lt;br /&gt;
[[File:Gas_Sparger.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 7.&#039;&#039; Gas sparger [1]&lt;br /&gt;
&lt;br /&gt;
A small flow of liquid can be dispersed into a gas stream using a spray nozzle (Figure 8).&lt;br /&gt;
&lt;br /&gt;
[[File:Liquid_Injection.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 8.&#039;&#039; Liquid injection into gas [1]&lt;br /&gt;
&lt;br /&gt;
==Solid-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Solids are usually added to a liquid in a stirred tank at atmospheric pressure.  In order to allow more accurate control of dissolved solid concentration, mixing of solids and liquids is often carried out as a batch operation [1].&lt;br /&gt;
&lt;br /&gt;
=Types of Reactors=&lt;br /&gt;
&lt;br /&gt;
Most reactors used in industry approximate the ideal batch reactor, PFR, or CSTR.  In fact, real reactors can be modeled as networks or combinations of multiple plug-flow and stirred-tank reactors [1]. Examples of real reactors that approximate the flow pattern of ideal reactors are shown in Figure 10.  These reactors will be discussed in more detail in the following sections.&lt;br /&gt;
&lt;br /&gt;
[[File:Types_of_Reactors.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 10.&#039;&#039; Ideal reactors and some real reactors that approximate the same flow pattern [1]&lt;br /&gt;
&lt;br /&gt;
==Vapor-Liquid Reactors==&lt;br /&gt;
&lt;br /&gt;
Vapor-liquid reactions are important in many chemical processes.  For example, oxygenation and hydrogenation reactions are usually carried out with the organic component in the liquid phase [1].  A summary of common goals for vapor-liquid reactors and the reactors used to achieve those goals is shown in Table 1.&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Goal !! Types of Vapor-Liquid Reactors !! Examples&lt;br /&gt;
|-&lt;br /&gt;
| Maintain low concentration of gas component in liquid || &lt;br /&gt;
* Sparged stirred tank reactor&lt;br /&gt;
* Sparged tubular reactor&lt;br /&gt;
 || &lt;br /&gt;
* Liquid phase oxidations using air&lt;br /&gt;
* Fermenters&lt;br /&gt;
|-&lt;br /&gt;
| Contact gas and liquid over catalyst || &lt;br /&gt;
* Trickle bed reactor &lt;br /&gt;
*Slurry phase reactor &lt;br /&gt;
|| &lt;br /&gt;
* Catalytic hydrogenation&lt;br /&gt;
|-&lt;br /&gt;
| React a component out of the gas phase to high conversion || &lt;br /&gt;
* Multi-stage V/L contactor (reactive absorption column) &lt;br /&gt;
* Venturi scrubber &lt;br /&gt;
|| &lt;br /&gt;
*Chemisorption &lt;br /&gt;
*Acid gas scrubbing&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 1.&#039;&#039; Summary of Vapor-Liquid Reactors [2]&lt;br /&gt;
&lt;br /&gt;
If the residence time requirements are short enough, vapor-liquid contacting columns are preferred because of the high area for mass transfer.  Trayed or packed columns can be used to contact vapor and liquid for reaction.  The column packing may be catalytically active or could be inert packing [2].  Please see the [[separation processes]] section of this website for more information on the types of processes used for the third goal listed.  &lt;br /&gt;
&lt;br /&gt;
Stirred tanks or tubular reactors are used when long residence time is needed for the liquid phase [1].  These types of reactors and more will be discussed in the [[#Catalytic Processes|catalytic processes]] section of this page.&lt;br /&gt;
&lt;br /&gt;
The reactors listed under the first goal in the table are unique to vapor-liquid processes.  The basic concept of a sparger was discussed in the [[#Mixing in Industrial Reactors|mixing]] section.  Sparged reactors are shown in Figure 11. &lt;br /&gt;
&lt;br /&gt;
[[File:Sparged_Reactors.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 11.&#039;&#039; Sparged stirred tank and tubular reactors [2]&lt;br /&gt;
&lt;br /&gt;
The gas is bubbled up through the liquid in a sparged reactor.  For smaller bubbles, a porous pipe diffuser can be used instead [2].  The designer must allow some disengaging space at the top of the reactor, or entrainment will be excessive.  If the gas flow rate is large then the gas flow can be used as the primary means of agitation.  Perry&#039;s Handbook suggests the following air rates (ft&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/ft&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;min) for agitating an open tank full of water at 1 atm:&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Degree of agitation !! Liquid depth 9 ft !! Liquid depth 3 ft&lt;br /&gt;
|-&lt;br /&gt;
| Moderate || 0.65 || 1.3&lt;br /&gt;
|-&lt;br /&gt;
| Complete || 1.3 || 2.6&lt;br /&gt;
|-&lt;br /&gt;
| Violent || 3.1 || 6.2&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 2.&#039;&#039; Summary of suggested flow rates for gas flow as agitation [2]&lt;br /&gt;
&lt;br /&gt;
==Catalytic Processes==&lt;br /&gt;
A catalyst increases the rate of a chemical reaction without itself becoming permanently changed by the reaction.  Catalysts allow reactions to be run in smaller reactors and operated at lower temperatures and improve selectivity.  Therefore, catalysts will almost always lead to a more economically attractive process than a noncatalytic route.  [1]  Catalysts are normally selected based on performance rather than price since increases catalysts selectivity will almost always quickly pay back any price premium expected by the manufacturer.  It is important to test the catalysts under conditions that are representative of process conditions [1].  &lt;br /&gt;
&lt;br /&gt;
Catalyst activity often deteriorates over time [2].  Common causes of deactivation include:&lt;br /&gt;
* Poisoning by components in feed (e.g. base destroys acid catalyst)&lt;br /&gt;
* Blockage of pores or active sites by byproducts such as coke&lt;br /&gt;
* Thermal or hydrothermal modification of catalyst structure&lt;br /&gt;
Slow activity loss can be compensated by:&lt;br /&gt;
* Putting in more catalyst (lower space velocity)&lt;br /&gt;
* Slowly raising reactor temperature&lt;br /&gt;
Rapid activity loss may require moving the catalyst to a continuous regeneration zone [2].&lt;br /&gt;
&lt;br /&gt;
Catalytic reactions can be either homogenous (catalyst is in the same phase as the reagents) or heterogeneous (catalyst is not in the same phase as the reagents).&lt;br /&gt;
&lt;br /&gt;
===Homogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
:Homogeneous catalysis can be conducted in the basic batch reactors, PFRs, or CSTRs that have already been discussed.  However, when the catalyst is in the same phase as the reagent, recovering this catalyst after the reaction can be difficult and expensive, particularly if the catalyst is sensitive to high temperatures [2].  Providing adequate interfacial area is also a challenge of homogeneous catalysis.  A reaction often only occurs at the interface or in the boundary layer between the catalyst and the reagents.  Increased mixing can increase the rate and selectivity of the reaction, but this can require detailed and expensive mixing equipment [2].  For these reasons, reactions requiring homogenous catalysts are not usually used unless an easy separation can be found to recover the catalyst.&lt;br /&gt;
&lt;br /&gt;
===Heterogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
: Catalyst recovery in processes involving heterogeneous catalysis is much easier.  However, the rate of reaction is limited by the available inter-phase surface area and the mass transfer of reagents and products to and from the interface [2].  Therefore, reactors for these processes are design to reduce these limitations.&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Fixed Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: In a fixed-bed reactor, the reagent flows over a stationary bed of packed catalyst [1].  This is the most common type of reactor used for heterogeneous catalysis as long as the catalyst does not require continuous regeneration and the reaction mixture does not require high agitation [2].  The amount of catalyst necessary can be found using the following equations:&lt;br /&gt;
&lt;br /&gt;
::[[File:Catalyst_Calcs.png]]&lt;br /&gt;
&lt;br /&gt;
:: The ratio of the bed height (L) to the diameter (D) determines the distribution of reagents and the pressure drop across the bed.  An increased L/D ratio creates a more even distribution and less change of localized deactivation or &amp;quot;hot spots.&amp;quot;  However, increasing the L/D ratio increases the pressure drop, requiring higher compression and pumping costs [2].  The Ergun equation can be used to calculate the pressure drop in packed beds. &lt;br /&gt;
&lt;br /&gt;
:: [[File:Ergun.png]]&lt;br /&gt;
&lt;br /&gt;
::Where V is the superficial velocity (volume flowrate divided by cross-sectional area), μ is the viscosity, D&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; is the particle diameter and ε is the porosity of the packed bed [2]. Given these trade-offs, it may make sense to split the catalyst over several beds [2].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Radial Flow Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: When there is very little pressure drop available, the L/D ratio must be much less that one [2].  A common solution to this is to use a radial flow reactor with the catalyst contained in an annulus between vertical perforated or slotted screens.  The fluid flows radially through the bed and the direction of flow can be either inwards or outwards [1].  An example of a radial flow reactor is shown in Figure 12.&lt;br /&gt;
&lt;br /&gt;
:: [[File:Radial_flow.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 12.&#039;&#039; Radial flow reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Moving Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: A moving bed reactor is similar to a radial flow reactor, but the catalyst is moved through the annular space [2].&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Fluidized Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: If the fluid flow is up through the catalyst bed then the bed can become fluidized if the pressure drop is high enough to support the weight of the catalyst.  Fluidized beds usually have a lower pressure drop than down flow at high flow rates [2].  In addition, fluidizing the catalyst eases the transition from one reaction zone to another.&lt;br /&gt;
&lt;br /&gt;
:: The catalyst bed is fluidized using a distributor to inject fluidization fluid, which is not necessarily the feed.  Fluidization occurs when the bed pressure drop balances the weight of the particles, or &lt;br /&gt;
&lt;br /&gt;
::[[File:Fluid_Eqn.png]]&lt;br /&gt;
&lt;br /&gt;
::Where ∆P is the pressure drop, ρ&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; and ρ&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; are the densities of the particle and gas respectively, ε&amp;lt;sub&amp;gt;m&amp;lt;/sub&amp;gt; is the porosity at minimum fluidization, and L is the height of the bed [2].  Fluidization can only be used with relatively small sized particles (&amp;lt;300 micrometers with gases).  The solid material must be strong enough to withstand attrition in the fluidized bed and cheap enough to allow for make-up to replace attrition losses [1].  A fluidized-bed reactors must also make allowance for separating the fluid-phase product from entrained solids so that solids are not carried out of the reactor [1].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Trickle Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Trickle bed reactors are used when all three phases are involved in the reaction.  They must ensure good distribution of both the vapor and the liquid, without channeling of either phase [2].  In a trickle bed reactor, the liquid flows down over the surface of a stationary bed of solids.  The gas phase usually also flows downwards with the liquid, but countercurrent flow is feasible as long as flooding conditions are avoided [1].  This requires a more sophisticated distributor like those used for packed distillation columns [2].  An example of a trickle bed reactor is shown in Figure 13.&lt;br /&gt;
&lt;br /&gt;
::[[File:trickle_bed.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 13.&#039;&#039; Example of trickle bed reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Slurry Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
::Liquid is mixed up in the liquid in slurry phase reactions.  Slurry reactors are prone to attrition of the solids, caused by pumping or agitation of the liquid [1].  Slurry-phase operation is usually not preferred for processes that use heterogeneous catalysts because the catalyst tends to become eroded and can be difficult to recover from the liquid [1].&lt;br /&gt;
&lt;br /&gt;
==Bioreactors==&lt;br /&gt;
&lt;br /&gt;
Bioreactors have requirements that add complexity compared to simpler chemical reactors.  These reactions often are three-phase (cells, water, and air), need sterile operation, and require heat removal [2].  However, biological systems have the following advantages:&lt;br /&gt;
* Some products can only be made by biological routes&lt;br /&gt;
* Large molecules such as proteins can be made&lt;br /&gt;
* Selectivity for desired product can be very high&lt;br /&gt;
* Products are often very valuable &lt;br /&gt;
&lt;br /&gt;
===Enzyme Catalysis===&lt;br /&gt;
&lt;br /&gt;
Enzymes are the biological equivalent of catalysts.  They can sometimes be isolated from host cells. They are usually proteins and, therefore, most are thermally unstable above ~60 degrees Celsius and active only in water at a restricted pH [2].  Enzymes can sometimes be absorbed onto a solid or encapsulated in a gel without losing their structure.  In this case, they can be used in a conventional fixed bed reactor.  Typically, homogenous reactions are carried out in batch reactors.&lt;br /&gt;
&lt;br /&gt;
===Cell Growth===&lt;br /&gt;
&lt;br /&gt;
Cell growth goes through several phases during a batch, shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
[[File:Cell_Growth_Rate.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 15.&#039;&#039; Cell growth and product formation in batch fermentation [1]&lt;br /&gt;
&lt;br /&gt;
* I: Innoculation: slow growth while cells adapt to new environment&lt;br /&gt;
* II: Exponential growth: growth rate proportional to cell mass&lt;br /&gt;
* III: Slow growth as substrate or other factors begin to limit rate&lt;br /&gt;
* IV: Stationary phase: cell growth rate and death rate are equal&lt;br /&gt;
* V: Decline phase: cells die or sporulate, often caused by product build-up&lt;br /&gt;
&lt;br /&gt;
Intracellular product accumulation is slow at first because there are a limited number of cells [2].  However, it is important to note that product accumulation continue even after the live cell count falls, since dead cells still contain product.&lt;br /&gt;
&lt;br /&gt;
The growth rate of cells can be limited by factors such as:&lt;br /&gt;
* The availability of the primary subtrate&lt;br /&gt;
** Typically glucose, fructose, sucrose, or other carbohydrate&lt;br /&gt;
* The availability of other metabolites&lt;br /&gt;
** Vitamins, minerals, hormones, or enzyme cofactors&lt;br /&gt;
* The availability of oxygen&lt;br /&gt;
* Mass transfer properties of the reaction system&lt;br /&gt;
* Inhibition or poisoning by products or byproducts&lt;br /&gt;
* High temperature caused by inadequate heat removal&lt;br /&gt;
&lt;br /&gt;
All of these factors are exacerbated at higher cell concentrations [2].  Clearly, biological reactions must be carefully controlled.  An addition complication in dealing with biological reactions is that the product formation is often not closedly tied to the rate of consumption of the substrate [2].  This is because of the fact that the product may be made by the cells at a relatively low concentration and the fact that some cell metabolic processes may not be involved in formation of the desired product [2].&lt;br /&gt;
&lt;br /&gt;
===Types of Bioreactors===&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Stirred Tank Fermenter&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: The stirred tank fermenter is the most common reactor used for biological reactions [2] and is similar to the stirred tanks discussed previously.  It can be used in both batch and continuous mode.  Figure 14 shows a stirred tank fermenter.&lt;br /&gt;
&lt;br /&gt;
::[[File:Fermentation.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 14.&#039;&#039; Fermentation reactor [1]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Shaftless Bioreactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Shaftless bioreactors are used when the pump shaft seal is considered a non-permissible source of contamination.  These reactors use gas flow to provide agitation of the liquid.  The design requires careful attention to hydraulics [2].  Examples of shaftless bioreactors are shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
::[[File:Shaftless.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 15.&#039;&#039; Examples of shaftless bioreactors [2]&lt;br /&gt;
&lt;br /&gt;
=Heating and Cooling of Reacting Systems=&lt;br /&gt;
&lt;br /&gt;
Exothermic and endothermic reactions will require reactors with heat control systems to prevent operating conditions from falling out of the desired range. Reactor performance is often limited by the ability to add or remove heat.  Insufficient heat removal can cause runaway reactions, particularly dangerous situations in chemical processing [4].  Before considering the design of a heating or cooling system to couple with a reactor, a few important questions should be asked[1].&lt;br /&gt;
&lt;br /&gt;
1. Can the reaction be carried out adiabatically?&lt;br /&gt;
&lt;br /&gt;
2. Can the feeds provide the required heating or cooling? Staged addition of feed can help alleviate the cost of adding a heat exchange network or heat transfer jacket.  Also consider adding an inert diluent or hot/cold shots [3].&lt;br /&gt;
&lt;br /&gt;
3. Would it be more cost effective to carry out the heat exchange outside of the reactor?&lt;br /&gt;
&lt;br /&gt;
4. Would it be more effective to carry out the reaction inside of a heat transfer device? If a reaction requires only a small volume or small quantities of catalyst, it may be possible to utilize a heat exchanger as a temperature controller and as a reaction location.&lt;br /&gt;
&lt;br /&gt;
5. Does the proposed design allow the process to be started up and shut down smoothly?&lt;br /&gt;
&lt;br /&gt;
6. Are there safety concerns with heating or cooling the reactor?&lt;br /&gt;
&lt;br /&gt;
After considering these aspects of the design, commercial design software such as HYSYS or UniSim can be utilized to estimate heating/cooling requirements. Once this is done, design of the heat exchange system can begin, with different reactor types and reactions requiring different design approaches[1].&lt;br /&gt;
&lt;br /&gt;
==Stirred Tank Reactors==&lt;br /&gt;
&lt;br /&gt;
Heating and cooling of a stirred tank reactor is done to ensure a uniform reaction temperature, so that there do not exist hot or cold spots within the reactor that can negatively affect selectivity[1]. &lt;br /&gt;
&lt;br /&gt;
For indirect heat transfer, there are three main alternatives: a heat transfer jacket, an internal coil, and an external heat transfer circuit. A jacket is utilized as long as there is sufficient heat transfer area for the heat exchange to take place. If this is not the case, coils are used, although the inclusion of a heating coil will significantly increase reactor volume and utility requirements, leading to a large increase in price for the reactor. External circuits contain a heat exchanger that will heat or cool the product stream as required and recycle this material to the reactor to control temperature. External circuits are useful because they can be designed independently of the reactor; sizing the required pumps and heat exchangers will not fundamentally change the activity of the reactor. For any of these choices, it should be ensure that no corrosion of the involved piping will occur, as utility streams bleeding into the reactor can have a very negative impact on the selectivity of the reaction and on the operation of the reactor on a whole[1].&lt;br /&gt;
&lt;br /&gt;
Some direct heat transfer alternatives also exist, as long the reaction in question is compatible with the addition of extra water. Steam can be pumped into the reactor to maintain temperature, which will eliminate the need to design heat transfer surfaces. However, steam injected into the system cannot be recovered, so this will lead to an increase in annual utility costs. Additionally, vapor will be produced if it did not exist previously, so reactors will need to be redesigned to accommodate a vapor removal system[1]. &lt;br /&gt;
&lt;br /&gt;
==Catalytic Reactors==&lt;br /&gt;
&lt;br /&gt;
===Slurry Reactors===&lt;br /&gt;
&lt;br /&gt;
Since slurry reactors already use a mix of solid catalyst and liquid reactants, any of the methods described in the Stirred Tank Reactors section can be applied to slurry reactors. It is not recommended to use internal coils in such a design, as reactor slurry will often corrode heat exchange material very easily[1].&lt;br /&gt;
&lt;br /&gt;
===Fixed-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Indirect heat transfer is not often utilized to control the temperature in fixed-bed reactors, as it hard to maintain uniform temperature across the radial section of the catalyst bed. In cases where temperature control is required, the reactor will be split into smaller sections. After each bed, there will be an heat transfer stage, where the product stream is heated or cooled as necessary and returned to the next catalytic segment[1]. &lt;br /&gt;
&lt;br /&gt;
===Fluidized-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Fluidized bed reactors have high heat-transfer coefficients, so indirect heat transfer is highly effective. The heat capacity of the solid catalyst particles can be used as a heat transfer medium themselves; heated catalyst contains a reaction location and the necessary heat to maintain the required temperature. Deactivated catalyst is heated during reactivation and recycle[1].&lt;br /&gt;
&lt;br /&gt;
==Heat Exchangers as Reactors==&lt;br /&gt;
&lt;br /&gt;
It is sometimes necessary to design a reactor as a heat transfer device, like when it is necessary to operate a reactor isothermally and there is a large heat of reaction. Some common situations include high-temperature endothermic reactions that quickly quench without continuous heat input and low-temperature exothermic reactions that must be kept at constant temperature to maintain selectivity. The most common heat transfer equipment used for reactions are shell and tube heat exchangers and fired heaters[1].&lt;br /&gt;
&lt;br /&gt;
===Homogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
If the reaction does not required a catalyst, than the heat transfer design is the same as a conventional heat transfer device, with some important changes in the thermal design. The usual heat exchanger equations will not apply to the design of a heat exchanger reactor due to the nonlinear behavior of the reaction rate with regards to temperature. In these cases, the usual practice of conservative temperature estimations will not aid in heat transfer design, as greater detail will be required to ensure the proper operation of the reactor. Detailed kinetic models should be developed before designing the internals of the heat transfer device[1].&lt;br /&gt;
&lt;br /&gt;
===Heterogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
The problems of designing for homogenous reactions still hold for heterogenous ones, with the added complication of solid catalyst beds. Catalyst can be loaded into the tubes of a shell and tube exchanger if the exchanger is mounted vertically and a suitable retaining screen is included at either end of the design. In this instance, hot catalyst can be reliably recycled and heat treated to reactivate the catalysts and reduce the presence of reactor hot spots. High-temperature endothermic reactions will be even more difficult to design for, as their heat requirements often exceed the amount provided by a heated catalyst. In these cases, a &amp;quot;tube in tube&amp;quot; design is utilized, where feed and catalyst are heated simultaneously by an external fired heater. This can be done as long as thermal expansion does not cause damage to the tubes, or else significant catalyst poisoning can occur. The same concerns as detailed in homogenous reactions will still apply for any design utilized for heterogenous ones, so it is again recommended to develop a detailed kinetic model before determining the amount of heat transfer required to maintain proper selectivity[1].&lt;br /&gt;
&lt;br /&gt;
=Safety Considerations in Reactor Design=&lt;br /&gt;
&lt;br /&gt;
Reactors require much attention to safety details in the design process due to the hazards they impose.  They are often the highest temperature point in the process, heat of reaction may be released, and residence times can be long leading to a large inventory of chemicals.  Guidelines exist for inherently safer design principles which seek to remove or reduce process hazards, limiting the impact of unforeseen events.  These design methods should be applied throughout the design process as part of good engineering practice; they cannot be retroactively added by a process safety specialist.  Some examples are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(table 15.16 in Towler)&lt;br /&gt;
&lt;br /&gt;
Exothermic reactions require special consideration due to their potential to runaway (temperature rises from heat of reaction being released, increasing reaction rate, releasing more heat, and so on).  The reactor must be designed such that temperature can be precisely controlled and the reaction shut down if temperature control is lost.  The use of solvents or inert species also allows for temperature control by adjusting heat capacity flow rate relative to rate of heat release from the reaction.  An additional safety feature would allow the reactor to be flooded with cold solvent or diluent.&lt;br /&gt;
&lt;br /&gt;
If there is a cooling system it should be designed to return the process to desired temperature if the maximum temperature is reached.  &lt;br /&gt;
&lt;br /&gt;
Venting and relief of reactors is complicated by the potential to keep reacting if containment is lost or material is discharged into the pressure relief system.  The relief system should be designed according to guidelines outlined in the Design Institute for Emergency Relief Systems (DIERS) methodology.  The reactor design team must understand the reaction mechanism and kinetics, including the role of any compounds which may accelerate the reaction.  Details may be found on the AIChE website, [http://www.aiche.org/diers here].&lt;br /&gt;
&lt;br /&gt;
=Capital Cost of Reactors=&lt;br /&gt;
&lt;br /&gt;
Reactors are classified as pressure vessels, and as such the pressure vessel design methods can be used to estimate wall thickness and thus determine capital cost.  Additional costs come from reactor internals or other equipment.  Jacketed stirred-tank reactors require more in depth analysis than that provided by pressure vessel design.  The wall of the reaction vessel may be in compression due to the jacket.  For preliminary cost estimating a correlation for jacketed stirred tank reactors operating at pressures below 20 bar can be used:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;C_e = a + b S^n&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;C_e&amp;lt;/math&amp;gt; is the purchased equipment cost on a U.S. Gulf Coast Basis, &amp;lt;math&amp;gt;a, b&amp;lt;/math&amp;gt; are cost constants, &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is the size parameter, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the exponent for that type of equipment.  Values for &amp;lt;math&amp;gt;a, b, S, n&amp;lt;/math&amp;gt; are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(Table 7.2 Towler)&lt;br /&gt;
&lt;br /&gt;
=Conclusions=&lt;br /&gt;
&lt;br /&gt;
The conversion of feed to products is the essence of a chemical process and, thus, the reactor is the heart of a chemical plant.  When designing a reactor, an engineer must first collect data about the chemical reaction and then select appropriate reaction conditions, which will help determine suitable materials of construction.  Next, the designer should determine the rate-limiting step and, from this, the critical sizing parameter. Next, preliminary sizing, layout, and costing can be conducted for the reactor.  At this point, simulations and experiments can be conducted to verify that the proposed reactor will meet the desired specifications.  The design is optimized until these targets are met.  Throughout the design process, it is important for the engineer to consider the most appropriate type of reactor to use, any mixing or heat transfer equipment that must be added, and safety considerations.&lt;br /&gt;
&lt;br /&gt;
=Example=&lt;br /&gt;
&lt;br /&gt;
UOP uses a trickles bed reactor for reacting hydrogen with heacy oils (hydrocracking), shown in Figure 16.&lt;br /&gt;
&lt;br /&gt;
[[File:Hydrocracking.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 16.&#039;&#039; UOP Hydrocracking Reactor&lt;br /&gt;
&lt;br /&gt;
The heat from the exothermic reaction is removed using cold hydrogen quenches.  This reactor can have as many as six beds of catalyst [2].&lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
# Towler, G.P. and Sinnot, R. (2012). &#039;&#039;Chemical Engineering Design: Principles, Practice and Economics of Plant and Process Design.&#039;&#039; Elsevier.&lt;br /&gt;
#Towler, G.P. (2012). &#039;&#039;Chemical Engineering Design&#039;&#039;, PowerPoint presentation.&lt;br /&gt;
#Seider, W.D. (2004). &#039;&#039;Process Design Principles: Synthesis, Analysis, and Evaluation&#039;&#039;, Wiley: New York.&lt;br /&gt;
#Turton, R.T. (2003). &#039;&#039;Analysis, Synthesis, and Design of Chemical Processes&#039;&#039;, Prentice Hall: Upper Saddle River.&lt;br /&gt;
#Douglas, J.M. (1988). &#039;&#039;Conceptual Design of Chemical Processes&#039;&#039;, McGraw-Hill: New York.&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1050</id>
		<title>Reactors</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1050"/>
		<updated>2014-02-10T04:26:03Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Batch Reactors */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Title: Reactors&lt;br /&gt;
&lt;br /&gt;
Author: Sean Cabaniss, David Park, Maxim Slivinsky and Julianne Wagoner&lt;br /&gt;
&lt;br /&gt;
Steward: Fengqi You&lt;br /&gt;
&lt;br /&gt;
Date Presented: February 4, 2014 &lt;br /&gt;
&lt;br /&gt;
&amp;lt;!-- Table of Contents --&amp;gt;&lt;br /&gt;
__TOC__&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
&lt;br /&gt;
The center of any chemical process is the reactor, where chemical reactions are carried out to transform feeds into products.  Reactor design is a vital step in the overall design of a process.  It is important to ensure that the equipment specified will be capable of achieving the desired yields and selectivity. &lt;br /&gt;
&lt;br /&gt;
==Ideal Reactors==&lt;br /&gt;
&lt;br /&gt;
===Batch Reactors===&lt;br /&gt;
&lt;br /&gt;
In a batch reactor, the reagents are added together and allowed to react for a given amount of time.  The compositions change with time, but there is no flow through the process.  Additional reagents may be added as the reaction proceeds, and changes in temperature may also be made.  Products are removed from the reactor after the reaction has proceeded to completion.&lt;br /&gt;
&lt;br /&gt;
Batch processes are suitable for small-scale production (less than 1,000,000 lb/yr) and for processes where several different products or grades are to be produced in the same equipment [5].  When production volumes are relatively small and/or the chemistry is relatively complex, batch processing provides an important means of quality control.&lt;br /&gt;
&lt;br /&gt;
===Plug Flow Reactor (PFR)===&lt;br /&gt;
&lt;br /&gt;
A PFR with tubular geometry has perfect radial mixing but no axial mixing.  All materials hav the same residence time, τ, and experience the same temperature and concentration profiles along the reactor.  Equation for PFR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;dM = \Re dV&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where M = molar flow rate, dV is the incremental volume, and &amp;lt;math&amp;gt;\Re&amp;lt;/math&amp;gt; is the rate of reaction per unit volume.&lt;br /&gt;
&lt;br /&gt;
This equation can be integrated along the length of the reactor to yield relationships between reactor resident time and concentration or conversion.&lt;br /&gt;
&lt;br /&gt;
===Continuously Stirred Tank Reactor (CSTR)===&lt;br /&gt;
&lt;br /&gt;
The stirred tank reactor models a large scale conventional laboratory flask and can be considered to be the basic chemical reactor.  In a CSTR, shown in Figure 1, there is no spatial variation- the entire vessel contents are at the same temperature, pressure, and concentration.  Therefore the fluid leaving the reactor is at the same temperature and concentration as the fluid inside the reactor.&lt;br /&gt;
&lt;br /&gt;
The material balance across the CSTR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;M_\text{in}-M_\text{out}= \Re V&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Some of the material the enters the reactor can leave immediately, while some leaves much later, so there is a broad distribution in residence time as shown in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:CSTR.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Continuously Stirred Tank Reactor [1]&lt;br /&gt;
&lt;br /&gt;
More information on stirred tanks can be found in the [[#Mixing in Industrial Reactors|Mixing]] section.&lt;br /&gt;
&lt;br /&gt;
=General Reactor Design=&lt;br /&gt;
&lt;br /&gt;
The design of the reactor should not be carried out separately from the overall process design due to the significant impact on capital and operating costs on other parts of the process[1].  &lt;br /&gt;
&lt;br /&gt;
==Step 1: Collect Required Data==&lt;br /&gt;
&lt;br /&gt;
Out of all process equipment, reactor design requires the most process input data: reaction enthalpies, phase-equilibrium constants, heat and mass transfer coefficients, as well as reaction rate constants.  All of the aforementioned parameters can be estimated using simulation models or literature correlations except for reaction rate constant constants, which need to be determined experimentally [1].&lt;br /&gt;
&lt;br /&gt;
===Enthalpy of Reaction===&lt;br /&gt;
&lt;br /&gt;
: The heat given out in a chemical reaction is based on the enthalpies of the component chemical reactions, which are given for standard temperature and pressure (1 atm, 25 C).  Values for standard heats of reaction can be found tabulated in literature, or can be calculated from heats of formation or combustion.  Care must be taken to quote the basis for the heat of reaction and the states of reactants and products.&lt;br /&gt;
&lt;br /&gt;
: The following equation is used to convert enthalpies from standard conditions to the process conditions:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,P,T} = \Delta H_\text{r}^{\circ} + &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: If the effect from pressure is not significant and only Temperature needs to be accounted for, the following equation should be used:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,T} = \Delta H_\text{r}^{\circ} + \Delta H_\text{prod.} + \Delta H_\text{react.}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Equilibrium Constant and Gibbs Free Energy===&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta G = -\mathbf{R} T \ln K &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: Where &amp;lt;math&amp;gt;\Delta G&amp;lt;/math&amp;gt; is the change in Gibbs free energy from the reaction at temperature &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;\mathbf{R}&amp;lt;/math&amp;gt; is the ideal gas constant, and &amp;lt;math&amp;gt;K&amp;lt;/math&amp;gt; is the reaction equilibrium constant, given by:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;K = \prod_{i=1}^n {a_i}^{\alpha_i} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: where &amp;lt;math&amp;gt;a_i&amp;lt;/math&amp;gt; is the activity of component i, &amp;lt;math&amp;gt;\alpha_i&amp;lt;/math&amp;gt; is the stoichiometric coefficient of component &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt;, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the total number of components.&lt;br /&gt;
&lt;br /&gt;
: Equilibrium constants can be found in the literature and are useful for evaluating the rates of forward and reverse reactions.  Care must be taken to the experimental design used for the literature equilibrium constants to make sure they are consistent with the conditions of the actual process reactor.  For more complicated reactions consisting of several sequential or simultaneous reactions, the equilibrium is found by minimizing the Gibbs free energy [1].  Commercial process simulation programs use the Gibbs reactor model in this way.  &lt;br /&gt;
&lt;br /&gt;
===Reaction Mechanisms, Rate Equations, and Rate Constants===&lt;br /&gt;
&lt;br /&gt;
: In most cases the main process reaction rate equations and rate constants cannot be predicted from first principles and must be approximated [1].  This is due to the following:&lt;br /&gt;
&lt;br /&gt;
* Use of heterogeneous catalysis or enzymes which lead to Langmuir-Hinshelwood-Hougen-Watson or Michaelis-Menten kinetics&lt;br /&gt;
* Mass transfer between vapor and liquid or two liquid phases&lt;br /&gt;
* Multistep mechanisms whose rate expressions do not follow overall reaction stoichiometry&lt;br /&gt;
* Competing side reactions&lt;br /&gt;
&lt;br /&gt;
: As a result the main process reaction is usually approximated as first- or second-order over a narrow range of process conditions (temperature, pressure, species concentrations) to estimate the residence time required for a target conversion.  Rate equations are always a fit for experimental data and should thus be used for interpolation within the data.  It is important to collect more data when extrapolating, especially for exothermic reactions which have the potential for runaway [1].&lt;br /&gt;
&lt;br /&gt;
===Heat and Mass Transfer Properties===&lt;br /&gt;
&lt;br /&gt;
====Heat Transfer====&lt;br /&gt;
:: The design of internal heating or cooling devices can be found in [https://processdesign.mccormick.northwestern.edu/index.php/Heat_Transfer_Equipment Heat Transfer Equipment].  Correlations for tube-side heat-transfer coefficients for catalyst-packed tubes of a heat exchanger are given below:&lt;br /&gt;
&lt;br /&gt;
:: For heating: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = .813 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.9} e^{-6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for cooling: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = 3.50 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.7} e^{-4.6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt; is the tube-side heat transfer coefficient for a packed tube, &amp;lt;math&amp;gt;d_t&amp;lt;/math&amp;gt; is the tube diameter, &amp;lt;math&amp;gt;\lambda_f&amp;lt;/math&amp;gt; is the fluid thermal conductivity, &amp;lt;math&amp;gt;\rho_f&amp;lt;/math&amp;gt; is the fluid density, &amp;lt;math&amp;gt;u&amp;lt;/math&amp;gt; is the superficial velocity, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the effective particle diameter, and &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the fluid viscosity.&lt;br /&gt;
&lt;br /&gt;
====Diffusion Coefficients====&lt;br /&gt;
&lt;br /&gt;
:: Diffusion coefficients are necessary when mass transfer can limit the rate of reaction, such as in catalytic reactions or reactions involving mass transfer processes such as gas absorption, distillation, and liquid-liquid extraction.  &lt;br /&gt;
&lt;br /&gt;
:: The diffusivity for gases can be estimated by the following correlation (Fuller, Schettler, Giddings):&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_v = \frac{1.013 \times 10^{-7} T^{1.75} {\left ( \frac{1}{M_a} + \frac{1}{M_b} \right )}^{1/2} }{P {\left [ {\left ( \sum_{a} v_i  \right )}^{1/3}  + {\left ( \sum_{b} v_i  \right )}^{1/3}  \right ]}^2  } &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_v&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is temperature, &amp;lt;math&amp;gt;M_a , M_b&amp;lt;/math&amp;gt; are the molecular masses of components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;P&amp;lt;/math&amp;gt; is the total pressure, and &amp;lt;math&amp;gt;\sum_{a} v_i , \sum_{b} v_i&amp;lt;/math&amp;gt; are the summation of special diffusion volume coefficients for components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, given in the table below:&lt;br /&gt;
&lt;br /&gt;
:: (volume coefficient table from towler)&lt;br /&gt;
&lt;br /&gt;
:: Wilke and Chang developed a correlation for estimating the diffusivity of components in the liquid phase:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_L =  \frac{1.173 \times 10^{-13} {(\phi M_w)}^{1/2} T}{\mu V_m^{.6}} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid diffusivity, &amp;lt;math&amp;gt;\phi&amp;lt;/math&amp;gt; is an association factor for the solvent, &amp;lt;math&amp;gt;M_w&amp;lt;/math&amp;gt; is the molecular mass of the solvent, &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the solvent viscosity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is the temperature, and &amp;lt;math&amp;gt;V_m&amp;lt;/math&amp;gt; is the molar volume of the solute at its boiling point.  This correlation holds for organic compounds in water but not for water in organic solvents.&lt;br /&gt;
&lt;br /&gt;
====Mass Transfer====&lt;br /&gt;
&lt;br /&gt;
:: For multiphase reactors it is necessary to estimate the mass transfer coefficient.  &lt;br /&gt;
&lt;br /&gt;
:: The equation of Gupta and Thodos predicts the mass transfer coefficient for a packed bed of particles:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac{k d_p}{D} = 2.06 \frac{1}{\epsilon} {Re}^{.425} {Sc}^{.33} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the particle diameter, &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;Re&amp;lt;/math&amp;gt; is the Reynolds number calculated using the superficial velocity through the bed, &amp;lt;math&amp;gt;Sc&amp;lt;/math&amp;gt; is the Schmidt number,  and &amp;lt;math&amp;gt;\epsilon&amp;lt;/math&amp;gt; is the bed void fraction.&lt;br /&gt;
&lt;br /&gt;
:: Mass transfer between vapor and liquid in an agitated vessel can be described by the Van&#039;t Riet equations:&lt;br /&gt;
&lt;br /&gt;
:: For air-water: &amp;lt;math&amp;gt; k_L a = 0.026 {\left ( \frac{P_a}{V_{liq}} \right )}^{.4} Q^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for air-water-electrolyte: &amp;lt;math&amp;gt; k_L a = 0.002 {\left ( \frac{P_a}{V_{liq}} \right )}^{.7} Q^{.2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k_L&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; is the interfacial area per unit volume, &amp;lt;math&amp;gt;Q&amp;lt;/math&amp;gt; is the gas volumetric flow rate, &amp;lt;math&amp;gt;V_{liq}&amp;lt;/math&amp;gt; is the liquid volume, and &amp;lt;math&amp;gt;P_a&amp;lt;/math&amp;gt; is the agitator power input.&lt;br /&gt;
&lt;br /&gt;
:: Fair&#039;s method for calculating the mass transfer coefficient for low viscosity systems is given by:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac {{(k_L a)}_{system}}{{(k_L a)}_{air-water}} = {\left ( \frac{D_{L,system}}{D_{L, air-water}} \right )}^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid phase diffusivity.  &lt;br /&gt;
&lt;br /&gt;
:: Mass transfer correlations for vapor-liquid systems should be used with caution when there are surfactants [1].&lt;br /&gt;
&lt;br /&gt;
==Step 2: Select Reaction Conditions==&lt;br /&gt;
&lt;br /&gt;
===Chemical or Biochemical Reaction===&lt;br /&gt;
&lt;br /&gt;
===Catalyst===&lt;br /&gt;
&lt;br /&gt;
===Temperature===&lt;br /&gt;
&lt;br /&gt;
===Pressure===&lt;br /&gt;
&lt;br /&gt;
===Reaction Phase===&lt;br /&gt;
&lt;br /&gt;
===Solvent===&lt;br /&gt;
&lt;br /&gt;
===Concentrations===&lt;br /&gt;
&lt;br /&gt;
==Step 3: Determine Materials of Construction==&lt;br /&gt;
&lt;br /&gt;
A preliminary analysis of the materials of construction for the reactor can be conducted after the reaction conditions have been specified.  Particularly important in this analysis are the temperatures and pressures the process will run at.  At extreme conditions, costly alloys may need to be used.  In addition, the designer must ensure that process streams will not react with materials used in process equipment.&lt;br /&gt;
&lt;br /&gt;
==Step 4: Determine Rate-Limiting Step and Critical Sizing Parameters==&lt;br /&gt;
&lt;br /&gt;
The key parameters that determine the extent of reaction must be identified by carrying out an experiment plan with a broad range of conditions.  In general, the rate of reaction is usually limited by the following fundamental processes.  The first three have been discussed in previous sections.  Mixing will be developed in more detail in its own section. &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Intrinsic kinetics:&#039;&#039;&#039; There will usually be one slowest step that governs the overall rate.&lt;br /&gt;
* &#039;&#039;&#039;Mass-transfer rate:&#039;&#039;&#039; In multiphase reactions and processes that use porous heterogeneous catalysis, mass transfer can be particularly important.  Often, careful experimentation will be needed to separate the effects of mass transfer and the rate of reaction to determine which is the rate-limiting step. &lt;br /&gt;
* &#039;&#039;&#039;Heat-transfer rate:&#039;&#039;&#039; The rate of heat addition can become the governing parameter for endothermic reactions.  Heat-transfer devices such as heat exchangers or fired heaters may need to be used.&lt;br /&gt;
* &#039;&#039;&#039;Mixing:&#039;&#039;&#039; The time taken to mix the reagents can be the limiting step for very fast reactions.&lt;br /&gt;
&lt;br /&gt;
Once rate data have been collected, the designer can fit a suitable model of reaction kinetics.  Next, a critical sizing parameter can be specified for the reactor.  This will usually be one of the parameters given in Figure 1.  &lt;br /&gt;
&lt;br /&gt;
:: [[File:Sizing_Parameters.PNG]]&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;i&amp;gt;Figure 1&amp;lt;/i&amp;gt;. Reactor Sizing Parameters [1]&lt;br /&gt;
&lt;br /&gt;
==Step 5: Preliminary Sizing, Layout, and Costing of Reactor==&lt;br /&gt;
&lt;br /&gt;
The designer can estimate the reactor and catalyst volume from the sizing parameter.  This calculation will yield a value for the active reacting volume necessary.  Clearly, the actual reactor will need additional space.  The geometry of the reactor will depend on the desired flow pattern and mixing requirements [1].  The cost of most reactors can be estimated by determining the cost of a pressure vessel with the same dimensions and adding in the cost of the internals [1].&lt;br /&gt;
&lt;br /&gt;
==Step 6: Estimate Reactor Performance==&lt;br /&gt;
&lt;br /&gt;
At this point in the design process, it is important to verify that the proposed reactor will achieve the target conversions and selectivities.  A combination of experimental methods, such as pilot plants, and computer simulations can be used to predict the full-scale reactor performance.&lt;br /&gt;
&lt;br /&gt;
==Step 7: Optimize the Design==&lt;br /&gt;
&lt;br /&gt;
The reactor is typically a relatively small fraction of the total capital cost [1], so minimal time should be devoted to optimization to reduce the reactor cost.  However, if the target conversion, yields, and selectivities are not met, the process economics could be significantly impacted.  Therefore, steps 2 to 6 should be repeated at least until the minimum specifications are met [1].&lt;br /&gt;
&lt;br /&gt;
=Mixing in Industrial Reactors=&lt;br /&gt;
&lt;br /&gt;
Mixing plays an important role in many processing stages, including reactor performance.  It is critical to select the appropriate method of mixing in order to ensure the process produces the desired process yields, product purity, and cost effectiveness.  &lt;br /&gt;
&lt;br /&gt;
Correlations such as the Reynolds number can be used to determine the extent of mixing and correlate power consumption and heat transfer to the reactor shell [2].  In some cases, simple correlations may not be adequate:&lt;br /&gt;
* If dead zones cannot be tolerated for reasons of product purity, safety, 	etc.&lt;br /&gt;
* If reactor internals are complex&lt;br /&gt;
* If reaction selectivity is very sensitive to mixing&lt;br /&gt;
In these cases, it is usually necessary to carry out a more sophisticated analysis of mixing:&lt;br /&gt;
* Use computational fluid dynamics to model the reactor &lt;br /&gt;
* Use physical modeling (“cold flow”) experiments&lt;br /&gt;
* Use tomography methods to look at performance of real reactor&lt;br /&gt;
&lt;br /&gt;
==Gas Mixing==&lt;br /&gt;
Gases mix easily because of their low viscosities.  The mixing given by turbulent flow in a length of pipe is usually sufficient for most purposes [1].  Orifices, vanes, and baffles can be used to increase turbulence.  &lt;br /&gt;
&lt;br /&gt;
==Liquid Mixing==&lt;br /&gt;
*&#039;&#039;&#039;Inline Mixing&#039;&#039;&#039; Inline mixers can be used for the continuous mixing of low-viscosity fluids.  One inexpensive method involves the use of static devices that promote turbulent mixing in pipelines.  Some typical designs are shown in Figures 2(a), (b), and (c).&lt;br /&gt;
&lt;br /&gt;
::[[File:Static_Mixers.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 2.&#039;&#039; Inline mixers: (a) tee; (b) injection; (c) annular [1]&lt;br /&gt;
&lt;br /&gt;
:: When mixing low viscosity fluids (&amp;lt;50 mNs/m&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) with similar densities and flow rates, a simple mixing tee, Figure 2(a), followed by a length of pipe equal to 10 to 20 pipe diameters, is suitable [1].&lt;br /&gt;
:: When one flow is much lower than the other, an injection mixer, Figure 2(b&amp;amp;c), should be used.  A satisfactory blend will be achieved in about 80 pipe diameters [1].  Baffles or other flow restrictions can be used to reduce the mixing length required.  These mixers work by introducing one fluid into the flowing stream of the other through a concentric pipe or an annular array of jets [1].&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;Stirred Tanks&#039;&#039;&#039;  Stirred tanks were discussed in the [[#Ideal Reactors|Ideal Reactors]] section.  Mixing is conducted by an impeller mounted on a shaft driven by a motor.  The reactor usually contains baffles or other internals to induce turbulence and prevent the contents from swirling and creating a vortex.  Typically, baffles are 1/10 of diameter and located 1/20 of diameter from wall [2].  A typical arrangement of agitator and baffles in a stirred tank, and the flow pattern generated, is shown in Figure 3.  Mixing occurs through the bulk flow of the liquid and by the motion of the turbulent eddies created by the agitator.  Bulk flow is the predominant mixing mechanism required for the blending of miscible liquids and for solids suspension. Turbulent mixing is important in operations involving mass and heat transfer, which can be considered as shear-controlled processes [1].  &lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Arrangements.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 3.&#039;&#039; Agitator arrangements and flow patterns [1]&lt;br /&gt;
&lt;br /&gt;
:At high Reynolds numbers (low viscosity), one of the three basic types of impeller shown in Figure 4 should be used.  For processes controlled by turbulent mixing, the flat-bladed (Rushton) turbines are appropriate.  For bulk mixing, the propeller and pitched-bladed turbines are appropriate [1]. &lt;br /&gt;
&lt;br /&gt;
::[[File:Impeller_Types.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 4.&#039;&#039; Basic impeller types [1]&lt;br /&gt;
&lt;br /&gt;
:For more viscous fluids, paddle, anchor, and helical ribbon agitators (Figures 5(a), (b), and (c)), are used [1].  The selection chart given in Figure 6 can be used to make a preliminary selection of the agitator type, based on the liquid viscosity and tank volume [1].&lt;br /&gt;
&lt;br /&gt;
::[[File:Low_Speed_Agitators.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 5.&#039;&#039; Low-speed agitators [1]&lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Selection_Guide.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 6.&#039;&#039; Agitator selection guide [1]&lt;br /&gt;
&lt;br /&gt;
==Gas-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Gases can be mixed into liquids using the inline mixing or stirred tank methods discussed previously.  A special type of gas injector, called a sparger (shown in Figure 7) can also be used.  This is a long injection tube with multiple holes drilled in it.  &lt;br /&gt;
&lt;br /&gt;
[[File:Gas_Sparger.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 7.&#039;&#039; Gas sparger [1]&lt;br /&gt;
&lt;br /&gt;
A small flow of liquid can be dispersed into a gas stream using a spray nozzle (Figure 8).&lt;br /&gt;
&lt;br /&gt;
[[File:Liquid_Injection.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 8.&#039;&#039; Liquid injection into gas [1]&lt;br /&gt;
&lt;br /&gt;
==Solid-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Solids are usually added to a liquid in a stirred tank at atmospheric pressure.  In order to allow more accurate control of dissolved solid concentration, mixing of solids and liquids is often carried out as a batch operation [1].&lt;br /&gt;
&lt;br /&gt;
=Types of Reactors=&lt;br /&gt;
&lt;br /&gt;
Most reactors used in industry approximate the ideal batch reactor, PFR, or CSTR.  In fact, real reactors can be modeled as networks or combinations of multiple plug-flow and stirred-tank reactors [1]. Examples of real reactors that approximate the flow pattern of ideal reactors are shown in Figure 10.  These reactors will be discussed in more detail in the following sections.&lt;br /&gt;
&lt;br /&gt;
[[File:Types_of_Reactors.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 10.&#039;&#039; Ideal reactors and some real reactors that approximate the same flow pattern [1]&lt;br /&gt;
&lt;br /&gt;
==Vapor-Liquid Reactors==&lt;br /&gt;
&lt;br /&gt;
Vapor-liquid reactions are important in many chemical processes.  For example, oxygenation and hydrogenation reactions are usually carried out with the organic component in the liquid phase [1].  A summary of common goals for vapor-liquid reactors and the reactors used to achieve those goals is shown in Table 1.&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Goal !! Types of Vapor-Liquid Reactors !! Examples&lt;br /&gt;
|-&lt;br /&gt;
| Maintain low concentration of gas component in liquid || &lt;br /&gt;
* Sparged stirred tank reactor&lt;br /&gt;
* Sparged tubular reactor&lt;br /&gt;
 || &lt;br /&gt;
* Liquid phase oxidations using air&lt;br /&gt;
* Fermenters&lt;br /&gt;
|-&lt;br /&gt;
| Contact gas and liquid over catalyst || &lt;br /&gt;
* Trickle bed reactor &lt;br /&gt;
*Slurry phase reactor &lt;br /&gt;
|| &lt;br /&gt;
* Catalytic hydrogenation&lt;br /&gt;
|-&lt;br /&gt;
| React a component out of the gas phase to high conversion || &lt;br /&gt;
* Multi-stage V/L contactor (reactive absorption column) &lt;br /&gt;
* Venturi scrubber &lt;br /&gt;
|| &lt;br /&gt;
*Chemisorption &lt;br /&gt;
*Acid gas scrubbing&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 1.&#039;&#039; Summary of Vapor-Liquid Reactors [2]&lt;br /&gt;
&lt;br /&gt;
If the residence time requirements are short enough, vapor-liquid contacting columns are preferred because of the high area for mass transfer.  Trayed or packed columns can be used to contact vapor and liquid for reaction.  The column packing may be catalytically active or could be inert packing [2].  Please see the [[separation processes]] section of this website for more information on the types of processes used for the third goal listed.  &lt;br /&gt;
&lt;br /&gt;
Stirred tanks or tubular reactors are used when long residence time is needed for the liquid phase [1].  These types of reactors and more will be discussed in the [[#Catalytic Processes|catalytic processes]] section of this page.&lt;br /&gt;
&lt;br /&gt;
The reactors listed under the first goal in the table are unique to vapor-liquid processes.  The basic concept of a sparger was discussed in the [[#Mixing in Industrial Reactors|mixing]] section.  Sparged reactors are shown in Figure 11. &lt;br /&gt;
&lt;br /&gt;
[[File:Sparged_Reactors.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 11.&#039;&#039; Sparged stirred tank and tubular reactors [2]&lt;br /&gt;
&lt;br /&gt;
The gas is bubbled up through the liquid in a sparged reactor.  For smaller bubbles, a porous pipe diffuser can be used instead [2].  The designer must allow some disengaging space at the top of the reactor, or entrainment will be excessive.  If the gas flow rate is large then the gas flow can be used as the primary means of agitation.  Perry&#039;s Handbook suggests the following air rates (ft&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/ft&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;min) for agitating an open tank full of water at 1 atm:&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Degree of agitation !! Liquid depth 9 ft !! Liquid depth 3 ft&lt;br /&gt;
|-&lt;br /&gt;
| Moderate || 0.65 || 1.3&lt;br /&gt;
|-&lt;br /&gt;
| Complete || 1.3 || 2.6&lt;br /&gt;
|-&lt;br /&gt;
| Violent || 3.1 || 6.2&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 2.&#039;&#039; Summary of suggested flow rates for gas flow as agitation [2]&lt;br /&gt;
&lt;br /&gt;
==Catalytic Processes==&lt;br /&gt;
A catalyst increases the rate of a chemical reaction without itself becoming permanently changed by the reaction.  Catalysts allow reactions to be run in smaller reactors and operated at lower temperatures and improve selectivity.  Therefore, catalysts will almost always lead to a more economically attractive process than a noncatalytic route.  [1]  Catalysts are normally selected based on performance rather than price since increases catalysts selectivity will almost always quickly pay back any price premium expected by the manufacturer.  It is important to test the catalysts under conditions that are representative of process conditions [1].  &lt;br /&gt;
&lt;br /&gt;
Catalyst activity often deteriorates over time [2].  Common causes of deactivation include:&lt;br /&gt;
* Poisoning by components in feed (e.g. base destroys acid catalyst)&lt;br /&gt;
* Blockage of pores or active sites by byproducts such as coke&lt;br /&gt;
* Thermal or hydrothermal modification of catalyst structure&lt;br /&gt;
Slow activity loss can be compensated by:&lt;br /&gt;
* Putting in more catalyst (lower space velocity)&lt;br /&gt;
* Slowly raising reactor temperature&lt;br /&gt;
Rapid activity loss may require moving the catalyst to a continuous regeneration zone [2].&lt;br /&gt;
&lt;br /&gt;
Catalytic reactions can be either homogenous (catalyst is in the same phase as the reagents) or heterogeneous (catalyst is not in the same phase as the reagents).&lt;br /&gt;
&lt;br /&gt;
===Homogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
:Homogeneous catalysis can be conducted in the basic batch reactors, PFRs, or CSTRs that have already been discussed.  However, when the catalyst is in the same phase as the reagent, recovering this catalyst after the reaction can be difficult and expensive, particularly if the catalyst is sensitive to high temperatures [2].  Providing adequate interfacial area is also a challenge of homogeneous catalysis.  A reaction often only occurs at the interface or in the boundary layer between the catalyst and the reagents.  Increased mixing can increase the rate and selectivity of the reaction, but this can require detailed and expensive mixing equipment [2].  For these reasons, reactions requiring homogenous catalysts are not usually used unless an easy separation can be found to recover the catalyst.&lt;br /&gt;
&lt;br /&gt;
===Heterogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
: Catalyst recovery in processes involving heterogeneous catalysis is much easier.  However, the rate of reaction is limited by the available inter-phase surface area and the mass transfer of reagents and products to and from the interface [2].  Therefore, reactors for these processes are design to reduce these limitations.&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Fixed Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: In a fixed-bed reactor, the reagent flows over a stationary bed of packed catalyst [1].  This is the most common type of reactor used for heterogeneous catalysis as long as the catalyst does not require continuous regeneration and the reaction mixture does not require high agitation [2].  The amount of catalyst necessary can be found using the following equations:&lt;br /&gt;
&lt;br /&gt;
::[[File:Catalyst_Calcs.png]]&lt;br /&gt;
&lt;br /&gt;
:: The ratio of the bed height (L) to the diameter (D) determines the distribution of reagents and the pressure drop across the bed.  An increased L/D ratio creates a more even distribution and less change of localized deactivation or &amp;quot;hot spots.&amp;quot;  However, increasing the L/D ratio increases the pressure drop, requiring higher compression and pumping costs [2].  The Ergun equation can be used to calculate the pressure drop in packed beds. &lt;br /&gt;
&lt;br /&gt;
:: [[File:Ergun.png]]&lt;br /&gt;
&lt;br /&gt;
::Where V is the superficial velocity (volume flowrate divided by cross-sectional area), μ is the viscosity, D&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; is the particle diameter and ε is the porosity of the packed bed [2]. Given these trade-offs, it may make sense to split the catalyst over several beds [2].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Radial Flow Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: When there is very little pressure drop available, the L/D ratio must be much less that one [2].  A common solution to this is to use a radial flow reactor with the catalyst contained in an annulus between vertical perforated or slotted screens.  The fluid flows radially through the bed and the direction of flow can be either inwards or outwards [1].  An example of a radial flow reactor is shown in Figure 12.&lt;br /&gt;
&lt;br /&gt;
:: [[File:Radial_flow.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 12.&#039;&#039; Radial flow reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Moving Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: A moving bed reactor is similar to a radial flow reactor, but the catalyst is moved through the annular space [2].&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Fluidized Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: If the fluid flow is up through the catalyst bed then the bed can become fluidized if the pressure drop is high enough to support the weight of the catalyst.  Fluidized beds usually have a lower pressure drop than down flow at high flow rates [2].  In addition, fluidizing the catalyst eases the transition from one reaction zone to another.&lt;br /&gt;
&lt;br /&gt;
:: The catalyst bed is fluidized using a distributor to inject fluidization fluid, which is not necessarily the feed.  Fluidization occurs when the bed pressure drop balances the weight of the particles, or &lt;br /&gt;
&lt;br /&gt;
::[[File:Fluid_Eqn.png]]&lt;br /&gt;
&lt;br /&gt;
::Where ∆P is the pressure drop, ρ&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; and ρ&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; are the densities of the particle and gas respectively, ε&amp;lt;sub&amp;gt;m&amp;lt;/sub&amp;gt; is the porosity at minimum fluidization, and L is the height of the bed [2].  Fluidization can only be used with relatively small sized particles (&amp;lt;300 micrometers with gases).  The solid material must be strong enough to withstand attrition in the fluidized bed and cheap enough to allow for make-up to replace attrition losses [1].  A fluidized-bed reactors must also make allowance for separating the fluid-phase product from entrained solids so that solids are not carried out of the reactor [1].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Trickle Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Trickle bed reactors are used when all three phases are involved in the reaction.  They must ensure good distribution of both the vapor and the liquid, without channeling of either phase [2].  In a trickle bed reactor, the liquid flows down over the surface of a stationary bed of solids.  The gas phase usually also flows downwards with the liquid, but countercurrent flow is feasible as long as flooding conditions are avoided [1].  This requires a more sophisticated distributor like those used for packed distillation columns [2].  An example of a trickle bed reactor is shown in Figure 13.&lt;br /&gt;
&lt;br /&gt;
::[[File:trickle_bed.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 13.&#039;&#039; Example of trickle bed reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Slurry Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
::Liquid is mixed up in the liquid in slurry phase reactions.  Slurry reactors are prone to attrition of the solids, caused by pumping or agitation of the liquid [1].  Slurry-phase operation is usually not preferred for processes that use heterogeneous catalysts because the catalyst tends to become eroded and can be difficult to recover from the liquid [1].&lt;br /&gt;
&lt;br /&gt;
==Bioreactors==&lt;br /&gt;
&lt;br /&gt;
Bioreactors have requirements that add complexity compared to simpler chemical reactors.  These reactions often are three-phase (cells, water, and air), need sterile operation, and require heat removal [2].  However, biological systems have the following advantages:&lt;br /&gt;
* Some products can only be made by biological routes&lt;br /&gt;
* Large molecules such as proteins can be made&lt;br /&gt;
* Selectivity for desired product can be very high&lt;br /&gt;
* Products are often very valuable &lt;br /&gt;
&lt;br /&gt;
===Enzyme Catalysis===&lt;br /&gt;
&lt;br /&gt;
Enzymes are the biological equivalent of catalysts.  They can sometimes be isolated from host cells. They are usually proteins and, therefore, most are thermally unstable above ~60 degrees Celsius and active only in water at a restricted pH [2].  Enzymes can sometimes be absorbed onto a solid or encapsulated in a gel without losing their structure.  In this case, they can be used in a conventional fixed bed reactor.  Typically, homogenous reactions are carried out in batch reactors.&lt;br /&gt;
&lt;br /&gt;
===Cell Growth===&lt;br /&gt;
&lt;br /&gt;
Cell growth goes through several phases during a batch, shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
[[File:Cell_Growth_Rate.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 15.&#039;&#039; Cell growth and product formation in batch fermentation [1]&lt;br /&gt;
&lt;br /&gt;
* I: Innoculation: slow growth while cells adapt to new environment&lt;br /&gt;
* II: Exponential growth: growth rate proportional to cell mass&lt;br /&gt;
* III: Slow growth as substrate or other factors begin to limit rate&lt;br /&gt;
* IV: Stationary phase: cell growth rate and death rate are equal&lt;br /&gt;
* V: Decline phase: cells die or sporulate, often caused by product build-up&lt;br /&gt;
&lt;br /&gt;
Intracellular product accumulation is slow at first because there are a limited number of cells [2].  However, it is important to note that product accumulation continue even after the live cell count falls, since dead cells still contain product.&lt;br /&gt;
&lt;br /&gt;
The growth rate of cells can be limited by factors such as:&lt;br /&gt;
* The availability of the primary subtrate&lt;br /&gt;
** Typically glucose, fructose, sucrose, or other carbohydrate&lt;br /&gt;
* The availability of other metabolites&lt;br /&gt;
** Vitamins, minerals, hormones, or enzyme cofactors&lt;br /&gt;
* The availability of oxygen&lt;br /&gt;
* Mass transfer properties of the reaction system&lt;br /&gt;
* Inhibition or poisoning by products or byproducts&lt;br /&gt;
* High temperature caused by inadequate heat removal&lt;br /&gt;
&lt;br /&gt;
All of these factors are exacerbated at higher cell concentrations [2].  Clearly, biological reactions must be carefully controlled.  An addition complication in dealing with biological reactions is that the product formation is often not closedly tied to the rate of consumption of the substrate [2].  This is because of the fact that the product may be made by the cells at a relatively low concentration and the fact that some cell metabolic processes may not be involved in formation of the desired product [2].&lt;br /&gt;
&lt;br /&gt;
===Types of Bioreactors===&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Stirred Tank Fermenter&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: The stirred tank fermenter is the most common reactor used for biological reactions [2] and is similar to the stirred tanks discussed previously.  It can be used in both batch and continuous mode.  Figure 14 shows a stirred tank fermenter.&lt;br /&gt;
&lt;br /&gt;
::[[File:Fermentation.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 14.&#039;&#039; Fermentation reactor [1]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Shaftless Bioreactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Shaftless bioreactors are used when the pump shaft seal is considered a non-permissible source of contamination.  These reactors use gas flow to provide agitation of the liquid.  The design requires careful attention to hydraulics [2].  Examples of shaftless bioreactors are shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
::[[File:Shaftless.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 15.&#039;&#039; Examples of shaftless bioreactors [2]&lt;br /&gt;
&lt;br /&gt;
=Heating and Cooling of Reacting Systems=&lt;br /&gt;
&lt;br /&gt;
Exothermic and endothermic reactions will require reactors with heat control systems to prevent operating conditions from falling out of the desired range. Reactor performance is often limited by the ability to add or remove heat.  Insufficient heat removal can cause runaway reactions, particularly dangerous situations in chemical processing [4].  Before considering the design of a heating or cooling system to couple with a reactor, a few important questions should be asked[1].&lt;br /&gt;
&lt;br /&gt;
1. Can the reaction be carried out adiabatically?&lt;br /&gt;
&lt;br /&gt;
2. Can the feeds provide the required heating or cooling? Staged addition of feed can help alleviate the cost of adding a heat exchange network or heat transfer jacket.  Also consider adding an inert diluent or hot/cold shots [3].&lt;br /&gt;
&lt;br /&gt;
3. Would it be more cost effective to carry out the heat exchange outside of the reactor?&lt;br /&gt;
&lt;br /&gt;
4. Would it be more effective to carry out the reaction inside of a heat transfer device? If a reaction requires only a small volume or small quantities of catalyst, it may be possible to utilize a heat exchanger as a temperature controller and as a reaction location.&lt;br /&gt;
&lt;br /&gt;
5. Does the proposed design allow the process to be started up and shut down smoothly?&lt;br /&gt;
&lt;br /&gt;
6. Are there safety concerns with heating or cooling the reactor?&lt;br /&gt;
&lt;br /&gt;
After considering these aspects of the design, commercial design software such as HYSYS or UniSim can be utilized to estimate heating/cooling requirements. Once this is done, design of the heat exchange system can begin, with different reactor types and reactions requiring different design approaches[1].&lt;br /&gt;
&lt;br /&gt;
==Stirred Tank Reactors==&lt;br /&gt;
&lt;br /&gt;
Heating and cooling of a stirred tank reactor is done to ensure a uniform reaction temperature, so that there do not exist hot or cold spots within the reactor that can negatively affect selectivity[1]. &lt;br /&gt;
&lt;br /&gt;
For indirect heat transfer, there are three main alternatives: a heat transfer jacket, an internal coil, and an external heat transfer circuit. A jacket is utilized as long as there is sufficient heat transfer area for the heat exchange to take place. If this is not the case, coils are used, although the inclusion of a heating coil will significantly increase reactor volume and utility requirements, leading to a large increase in price for the reactor. External circuits contain a heat exchanger that will heat or cool the product stream as required and recycle this material to the reactor to control temperature. External circuits are useful because they can be designed independently of the reactor; sizing the required pumps and heat exchangers will not fundamentally change the activity of the reactor. For any of these choices, it should be ensure that no corrosion of the involved piping will occur, as utility streams bleeding into the reactor can have a very negative impact on the selectivity of the reaction and on the operation of the reactor on a whole[1].&lt;br /&gt;
&lt;br /&gt;
Some direct heat transfer alternatives also exist, as long the reaction in question is compatible with the addition of extra water. Steam can be pumped into the reactor to maintain temperature, which will eliminate the need to design heat transfer surfaces. However, steam injected into the system cannot be recovered, so this will lead to an increase in annual utility costs. Additionally, vapor will be produced if it did not exist previously, so reactors will need to be redesigned to accommodate a vapor removal system[1]. &lt;br /&gt;
&lt;br /&gt;
==Catalytic Reactors==&lt;br /&gt;
&lt;br /&gt;
===Slurry Reactors===&lt;br /&gt;
&lt;br /&gt;
Since slurry reactors already use a mix of solid catalyst and liquid reactants, any of the methods described in the Stirred Tank Reactors section can be applied to slurry reactors. It is not recommended to use internal coils in such a design, as reactor slurry will often corrode heat exchange material very easily[1].&lt;br /&gt;
&lt;br /&gt;
===Fixed-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Indirect heat transfer is not often utilized to control the temperature in fixed-bed reactors, as it hard to maintain uniform temperature across the radial section of the catalyst bed. In cases where temperature control is required, the reactor will be split into smaller sections. After each bed, there will be an heat transfer stage, where the product stream is heated or cooled as necessary and returned to the next catalytic segment[1]. &lt;br /&gt;
&lt;br /&gt;
===Fluidized-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Fluidized bed reactors have high heat-transfer coefficients, so indirect heat transfer is highly effective. The heat capacity of the solid catalyst particles can be used as a heat transfer medium themselves; heated catalyst contains a reaction location and the necessary heat to maintain the required temperature. Deactivated catalyst is heated during reactivation and recycle[1].&lt;br /&gt;
&lt;br /&gt;
==Heat Exchangers as Reactors==&lt;br /&gt;
&lt;br /&gt;
It is sometimes necessary to design a reactor as a heat transfer device, like when it is necessary to operate a reactor isothermally and there is a large heat of reaction. Some common situations include high-temperature endothermic reactions that quickly quench without continuous heat input and low-temperature exothermic reactions that must be kept at constant temperature to maintain selectivity. The most common heat transfer equipment used for reactions are shell and tube heat exchangers and fired heaters[1].&lt;br /&gt;
&lt;br /&gt;
===Homogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
If the reaction does not required a catalyst, than the heat transfer design is the same as a conventional heat transfer device, with some important changes in the thermal design. The usual heat exchanger equations will not apply to the design of a heat exchanger reactor due to the nonlinear behavior of the reaction rate with regards to temperature. In these cases, the usual practice of conservative temperature estimations will not aid in heat transfer design, as greater detail will be required to ensure the proper operation of the reactor. Detailed kinetic models should be developed before designing the internals of the heat transfer device[1].&lt;br /&gt;
&lt;br /&gt;
===Heterogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
The problems of designing for homogenous reactions still hold for heterogenous ones, with the added complication of solid catalyst beds. Catalyst can be loaded into the tubes of a shell and tube exchanger if the exchanger is mounted vertically and a suitable retaining screen is included at either end of the design. In this instance, hot catalyst can be reliably recycled and heat treated to reactivate the catalysts and reduce the presence of reactor hot spots. High-temperature endothermic reactions will be even more difficult to design for, as their heat requirements often exceed the amount provided by a heated catalyst. In these cases, a &amp;quot;tube in tube&amp;quot; design is utilized, where feed and catalyst are heated simultaneously by an external fired heater. This can be done as long as thermal expansion does not cause damage to the tubes, or else significant catalyst poisoning can occur. The same concerns as detailed in homogenous reactions will still apply for any design utilized for heterogenous ones, so it is again recommended to develop a detailed kinetic model before determining the amount of heat transfer required to maintain proper selectivity[1].&lt;br /&gt;
&lt;br /&gt;
=Safety Considerations in Reactor Design=&lt;br /&gt;
&lt;br /&gt;
Reactors require much attention to safety details in the design process due to the hazards they impose.  They are often the highest temperature point in the process, heat of reaction may be released, and residence times can be long leading to a large inventory of chemicals.  Guidelines exist for inherently safer design principles which seek to remove or reduce process hazards, limiting the impact of unforeseen events.  These design methods should be applied throughout the design process as part of good engineering practice; they cannot be retroactively added by a process safety specialist.  Some examples are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(table 15.16 in Towler)&lt;br /&gt;
&lt;br /&gt;
Exothermic reactions require special consideration due to their potential to runaway (temperature rises from heat of reaction being released, increasing reaction rate, releasing more heat, and so on).  The reactor must be designed such that temperature can be precisely controlled and the reaction shut down if temperature control is lost.  The use of solvents or inert species also allows for temperature control by adjusting heat capacity flow rate relative to rate of heat release from the reaction.  An additional safety feature would allow the reactor to be flooded with cold solvent or diluent.&lt;br /&gt;
&lt;br /&gt;
If there is a cooling system it should be designed to return the process to desired temperature if the maximum temperature is reached.  &lt;br /&gt;
&lt;br /&gt;
Venting and relief of reactors is complicated by the potential to keep reacting if containment is lost or material is discharged into the pressure relief system.  The relief system should be designed according to guidelines outlined in the Design Institute for Emergency Relief Systems (DIERS) methodology.  The reactor design team must understand the reaction mechanism and kinetics, including the role of any compounds which may accelerate the reaction.  Details may be found on the AIChE website, [http://www.aiche.org/diers here].&lt;br /&gt;
&lt;br /&gt;
=Capital Cost of Reactors=&lt;br /&gt;
&lt;br /&gt;
Reactors are classified as pressure vessels, and as such the pressure vessel design methods can be used to estimate wall thickness and thus determine capital cost.  Additional costs come from reactor internals or other equipment.  Jacketed stirred-tank reactors require more in depth analysis than that provided by pressure vessel design.  The wall of the reaction vessel may be in compression due to the jacket.  For preliminary cost estimating a correlation for jacketed stirred tank reactors operating at pressures below 20 bar can be used:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;C_e = a + b S^n&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;C_e&amp;lt;/math&amp;gt; is the purchased equipment cost on a U.S. Gulf Coast Basis, &amp;lt;math&amp;gt;a, b&amp;lt;/math&amp;gt; are cost constants, &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is the size parameter, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the exponent for that type of equipment.  Values for &amp;lt;math&amp;gt;a, b, S, n&amp;lt;/math&amp;gt; are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(Table 7.2 Towler)&lt;br /&gt;
&lt;br /&gt;
=Conclusions=&lt;br /&gt;
&lt;br /&gt;
The conversion of feed to products is the essence of a chemical process and, thus, the reactor is the heart of a chemical plant.  When designing a reactor, an engineer must first collect data about the chemical reaction and then select appropriate reaction conditions, which will help determine suitable materials of construction.  Next, the designer should determine the rate-limiting step and, from this, the critical sizing parameter. Next, preliminary sizing, layout, and costing can be conducted for the reactor.  At this point, simulations and experiments can be conducted to verify that the proposed reactor will meet the desired specifications.  The design is optimized until these targets are met.  Throughout the design process, it is important for the engineer to consider the most appropriate type of reactor to use, any mixing or heat transfer equipment that must be added, and safety considerations.&lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
# Towler, G.P. and Sinnot, R. (2012). &#039;&#039;Chemical Engineering Design: Principles, Practice and Economics of Plant and Process Design.&#039;&#039; Elsevier.&lt;br /&gt;
#Towler, G.P. (2012). &#039;&#039;Chemical Engineering Design&#039;&#039;, PowerPoint presentation.&lt;br /&gt;
#Seider, W.D. (2004). &#039;&#039;Process Design Principles: Synthesis, Analysis, and Evaluation&#039;&#039;, Wiley: New York.&lt;br /&gt;
#Turton, R.T. (2003). &#039;&#039;Analysis, Synthesis, and Design of Chemical Processes&#039;&#039;, Prentice Hall: Upper Saddle River.&lt;br /&gt;
#Douglas, J.M. (1988). &#039;&#039;Conceptual Design of Chemical Processes&#039;&#039;, McGraw-Hill: New York.&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1049</id>
		<title>Reactors</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1049"/>
		<updated>2014-02-10T04:25:27Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* References */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Title: Reactors&lt;br /&gt;
&lt;br /&gt;
Author: Sean Cabaniss, David Park, Maxim Slivinsky and Julianne Wagoner&lt;br /&gt;
&lt;br /&gt;
Steward: Fengqi You&lt;br /&gt;
&lt;br /&gt;
Date Presented: February 4, 2014 &lt;br /&gt;
&lt;br /&gt;
&amp;lt;!-- Table of Contents --&amp;gt;&lt;br /&gt;
__TOC__&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
&lt;br /&gt;
The center of any chemical process is the reactor, where chemical reactions are carried out to transform feeds into products.  Reactor design is a vital step in the overall design of a process.  It is important to ensure that the equipment specified will be capable of achieving the desired yields and selectivity. &lt;br /&gt;
&lt;br /&gt;
==Ideal Reactors==&lt;br /&gt;
&lt;br /&gt;
===Batch Reactors===&lt;br /&gt;
&lt;br /&gt;
In a batch reactor, the reagents are added together and allowed to react for a given amount of time.  The compositions change with time, but there is no flow through the process.  Additional reagents may be added as the reaction proceeds, and changes in temperature may also be made.  Products are removed from the reactor after the reaction has proceeded to completion.&lt;br /&gt;
&lt;br /&gt;
Batch processes are suitable for small-scale production (less than 1,000,000 lb/yer) and for processes where several different products or grades are to be produced in the same equipment [5].  When production volumes are relatively small and/or the chemistry is relatively complex, batch processing provides an important means of quality control.&lt;br /&gt;
&lt;br /&gt;
===Plug Flow Reactor (PFR)===&lt;br /&gt;
&lt;br /&gt;
A PFR with tubular geometry has perfect radial mixing but no axial mixing.  All materials hav the same residence time, τ, and experience the same temperature and concentration profiles along the reactor.  Equation for PFR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;dM = \Re dV&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where M = molar flow rate, dV is the incremental volume, and &amp;lt;math&amp;gt;\Re&amp;lt;/math&amp;gt; is the rate of reaction per unit volume.&lt;br /&gt;
&lt;br /&gt;
This equation can be integrated along the length of the reactor to yield relationships between reactor resident time and concentration or conversion.&lt;br /&gt;
&lt;br /&gt;
===Continuously Stirred Tank Reactor (CSTR)===&lt;br /&gt;
&lt;br /&gt;
The stirred tank reactor models a large scale conventional laboratory flask and can be considered to be the basic chemical reactor.  In a CSTR, shown in Figure 1, there is no spatial variation- the entire vessel contents are at the same temperature, pressure, and concentration.  Therefore the fluid leaving the reactor is at the same temperature and concentration as the fluid inside the reactor.&lt;br /&gt;
&lt;br /&gt;
The material balance across the CSTR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;M_\text{in}-M_\text{out}= \Re V&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Some of the material the enters the reactor can leave immediately, while some leaves much later, so there is a broad distribution in residence time as shown in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:CSTR.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Continuously Stirred Tank Reactor [1]&lt;br /&gt;
&lt;br /&gt;
More information on stirred tanks can be found in the [[#Mixing in Industrial Reactors|Mixing]] section.&lt;br /&gt;
&lt;br /&gt;
=General Reactor Design=&lt;br /&gt;
&lt;br /&gt;
The design of the reactor should not be carried out separately from the overall process design due to the significant impact on capital and operating costs on other parts of the process[1].  &lt;br /&gt;
&lt;br /&gt;
==Step 1: Collect Required Data==&lt;br /&gt;
&lt;br /&gt;
Out of all process equipment, reactor design requires the most process input data: reaction enthalpies, phase-equilibrium constants, heat and mass transfer coefficients, as well as reaction rate constants.  All of the aforementioned parameters can be estimated using simulation models or literature correlations except for reaction rate constant constants, which need to be determined experimentally [1].&lt;br /&gt;
&lt;br /&gt;
===Enthalpy of Reaction===&lt;br /&gt;
&lt;br /&gt;
: The heat given out in a chemical reaction is based on the enthalpies of the component chemical reactions, which are given for standard temperature and pressure (1 atm, 25 C).  Values for standard heats of reaction can be found tabulated in literature, or can be calculated from heats of formation or combustion.  Care must be taken to quote the basis for the heat of reaction and the states of reactants and products.&lt;br /&gt;
&lt;br /&gt;
: The following equation is used to convert enthalpies from standard conditions to the process conditions:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,P,T} = \Delta H_\text{r}^{\circ} + &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: If the effect from pressure is not significant and only Temperature needs to be accounted for, the following equation should be used:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,T} = \Delta H_\text{r}^{\circ} + \Delta H_\text{prod.} + \Delta H_\text{react.}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Equilibrium Constant and Gibbs Free Energy===&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta G = -\mathbf{R} T \ln K &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: Where &amp;lt;math&amp;gt;\Delta G&amp;lt;/math&amp;gt; is the change in Gibbs free energy from the reaction at temperature &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;\mathbf{R}&amp;lt;/math&amp;gt; is the ideal gas constant, and &amp;lt;math&amp;gt;K&amp;lt;/math&amp;gt; is the reaction equilibrium constant, given by:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;K = \prod_{i=1}^n {a_i}^{\alpha_i} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: where &amp;lt;math&amp;gt;a_i&amp;lt;/math&amp;gt; is the activity of component i, &amp;lt;math&amp;gt;\alpha_i&amp;lt;/math&amp;gt; is the stoichiometric coefficient of component &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt;, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the total number of components.&lt;br /&gt;
&lt;br /&gt;
: Equilibrium constants can be found in the literature and are useful for evaluating the rates of forward and reverse reactions.  Care must be taken to the experimental design used for the literature equilibrium constants to make sure they are consistent with the conditions of the actual process reactor.  For more complicated reactions consisting of several sequential or simultaneous reactions, the equilibrium is found by minimizing the Gibbs free energy [1].  Commercial process simulation programs use the Gibbs reactor model in this way.  &lt;br /&gt;
&lt;br /&gt;
===Reaction Mechanisms, Rate Equations, and Rate Constants===&lt;br /&gt;
&lt;br /&gt;
: In most cases the main process reaction rate equations and rate constants cannot be predicted from first principles and must be approximated [1].  This is due to the following:&lt;br /&gt;
&lt;br /&gt;
* Use of heterogeneous catalysis or enzymes which lead to Langmuir-Hinshelwood-Hougen-Watson or Michaelis-Menten kinetics&lt;br /&gt;
* Mass transfer between vapor and liquid or two liquid phases&lt;br /&gt;
* Multistep mechanisms whose rate expressions do not follow overall reaction stoichiometry&lt;br /&gt;
* Competing side reactions&lt;br /&gt;
&lt;br /&gt;
: As a result the main process reaction is usually approximated as first- or second-order over a narrow range of process conditions (temperature, pressure, species concentrations) to estimate the residence time required for a target conversion.  Rate equations are always a fit for experimental data and should thus be used for interpolation within the data.  It is important to collect more data when extrapolating, especially for exothermic reactions which have the potential for runaway [1].&lt;br /&gt;
&lt;br /&gt;
===Heat and Mass Transfer Properties===&lt;br /&gt;
&lt;br /&gt;
====Heat Transfer====&lt;br /&gt;
:: The design of internal heating or cooling devices can be found in [https://processdesign.mccormick.northwestern.edu/index.php/Heat_Transfer_Equipment Heat Transfer Equipment].  Correlations for tube-side heat-transfer coefficients for catalyst-packed tubes of a heat exchanger are given below:&lt;br /&gt;
&lt;br /&gt;
:: For heating: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = .813 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.9} e^{-6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for cooling: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = 3.50 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.7} e^{-4.6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt; is the tube-side heat transfer coefficient for a packed tube, &amp;lt;math&amp;gt;d_t&amp;lt;/math&amp;gt; is the tube diameter, &amp;lt;math&amp;gt;\lambda_f&amp;lt;/math&amp;gt; is the fluid thermal conductivity, &amp;lt;math&amp;gt;\rho_f&amp;lt;/math&amp;gt; is the fluid density, &amp;lt;math&amp;gt;u&amp;lt;/math&amp;gt; is the superficial velocity, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the effective particle diameter, and &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the fluid viscosity.&lt;br /&gt;
&lt;br /&gt;
====Diffusion Coefficients====&lt;br /&gt;
&lt;br /&gt;
:: Diffusion coefficients are necessary when mass transfer can limit the rate of reaction, such as in catalytic reactions or reactions involving mass transfer processes such as gas absorption, distillation, and liquid-liquid extraction.  &lt;br /&gt;
&lt;br /&gt;
:: The diffusivity for gases can be estimated by the following correlation (Fuller, Schettler, Giddings):&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_v = \frac{1.013 \times 10^{-7} T^{1.75} {\left ( \frac{1}{M_a} + \frac{1}{M_b} \right )}^{1/2} }{P {\left [ {\left ( \sum_{a} v_i  \right )}^{1/3}  + {\left ( \sum_{b} v_i  \right )}^{1/3}  \right ]}^2  } &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_v&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is temperature, &amp;lt;math&amp;gt;M_a , M_b&amp;lt;/math&amp;gt; are the molecular masses of components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;P&amp;lt;/math&amp;gt; is the total pressure, and &amp;lt;math&amp;gt;\sum_{a} v_i , \sum_{b} v_i&amp;lt;/math&amp;gt; are the summation of special diffusion volume coefficients for components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, given in the table below:&lt;br /&gt;
&lt;br /&gt;
:: (volume coefficient table from towler)&lt;br /&gt;
&lt;br /&gt;
:: Wilke and Chang developed a correlation for estimating the diffusivity of components in the liquid phase:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_L =  \frac{1.173 \times 10^{-13} {(\phi M_w)}^{1/2} T}{\mu V_m^{.6}} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid diffusivity, &amp;lt;math&amp;gt;\phi&amp;lt;/math&amp;gt; is an association factor for the solvent, &amp;lt;math&amp;gt;M_w&amp;lt;/math&amp;gt; is the molecular mass of the solvent, &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the solvent viscosity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is the temperature, and &amp;lt;math&amp;gt;V_m&amp;lt;/math&amp;gt; is the molar volume of the solute at its boiling point.  This correlation holds for organic compounds in water but not for water in organic solvents.&lt;br /&gt;
&lt;br /&gt;
====Mass Transfer====&lt;br /&gt;
&lt;br /&gt;
:: For multiphase reactors it is necessary to estimate the mass transfer coefficient.  &lt;br /&gt;
&lt;br /&gt;
:: The equation of Gupta and Thodos predicts the mass transfer coefficient for a packed bed of particles:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac{k d_p}{D} = 2.06 \frac{1}{\epsilon} {Re}^{.425} {Sc}^{.33} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the particle diameter, &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;Re&amp;lt;/math&amp;gt; is the Reynolds number calculated using the superficial velocity through the bed, &amp;lt;math&amp;gt;Sc&amp;lt;/math&amp;gt; is the Schmidt number,  and &amp;lt;math&amp;gt;\epsilon&amp;lt;/math&amp;gt; is the bed void fraction.&lt;br /&gt;
&lt;br /&gt;
:: Mass transfer between vapor and liquid in an agitated vessel can be described by the Van&#039;t Riet equations:&lt;br /&gt;
&lt;br /&gt;
:: For air-water: &amp;lt;math&amp;gt; k_L a = 0.026 {\left ( \frac{P_a}{V_{liq}} \right )}^{.4} Q^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for air-water-electrolyte: &amp;lt;math&amp;gt; k_L a = 0.002 {\left ( \frac{P_a}{V_{liq}} \right )}^{.7} Q^{.2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k_L&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; is the interfacial area per unit volume, &amp;lt;math&amp;gt;Q&amp;lt;/math&amp;gt; is the gas volumetric flow rate, &amp;lt;math&amp;gt;V_{liq}&amp;lt;/math&amp;gt; is the liquid volume, and &amp;lt;math&amp;gt;P_a&amp;lt;/math&amp;gt; is the agitator power input.&lt;br /&gt;
&lt;br /&gt;
:: Fair&#039;s method for calculating the mass transfer coefficient for low viscosity systems is given by:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac {{(k_L a)}_{system}}{{(k_L a)}_{air-water}} = {\left ( \frac{D_{L,system}}{D_{L, air-water}} \right )}^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid phase diffusivity.  &lt;br /&gt;
&lt;br /&gt;
:: Mass transfer correlations for vapor-liquid systems should be used with caution when there are surfactants [1].&lt;br /&gt;
&lt;br /&gt;
==Step 2: Select Reaction Conditions==&lt;br /&gt;
&lt;br /&gt;
===Chemical or Biochemical Reaction===&lt;br /&gt;
&lt;br /&gt;
===Catalyst===&lt;br /&gt;
&lt;br /&gt;
===Temperature===&lt;br /&gt;
&lt;br /&gt;
===Pressure===&lt;br /&gt;
&lt;br /&gt;
===Reaction Phase===&lt;br /&gt;
&lt;br /&gt;
===Solvent===&lt;br /&gt;
&lt;br /&gt;
===Concentrations===&lt;br /&gt;
&lt;br /&gt;
==Step 3: Determine Materials of Construction==&lt;br /&gt;
&lt;br /&gt;
A preliminary analysis of the materials of construction for the reactor can be conducted after the reaction conditions have been specified.  Particularly important in this analysis are the temperatures and pressures the process will run at.  At extreme conditions, costly alloys may need to be used.  In addition, the designer must ensure that process streams will not react with materials used in process equipment.&lt;br /&gt;
&lt;br /&gt;
==Step 4: Determine Rate-Limiting Step and Critical Sizing Parameters==&lt;br /&gt;
&lt;br /&gt;
The key parameters that determine the extent of reaction must be identified by carrying out an experiment plan with a broad range of conditions.  In general, the rate of reaction is usually limited by the following fundamental processes.  The first three have been discussed in previous sections.  Mixing will be developed in more detail in its own section. &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Intrinsic kinetics:&#039;&#039;&#039; There will usually be one slowest step that governs the overall rate.&lt;br /&gt;
* &#039;&#039;&#039;Mass-transfer rate:&#039;&#039;&#039; In multiphase reactions and processes that use porous heterogeneous catalysis, mass transfer can be particularly important.  Often, careful experimentation will be needed to separate the effects of mass transfer and the rate of reaction to determine which is the rate-limiting step. &lt;br /&gt;
* &#039;&#039;&#039;Heat-transfer rate:&#039;&#039;&#039; The rate of heat addition can become the governing parameter for endothermic reactions.  Heat-transfer devices such as heat exchangers or fired heaters may need to be used.&lt;br /&gt;
* &#039;&#039;&#039;Mixing:&#039;&#039;&#039; The time taken to mix the reagents can be the limiting step for very fast reactions.&lt;br /&gt;
&lt;br /&gt;
Once rate data have been collected, the designer can fit a suitable model of reaction kinetics.  Next, a critical sizing parameter can be specified for the reactor.  This will usually be one of the parameters given in Figure 1.  &lt;br /&gt;
&lt;br /&gt;
:: [[File:Sizing_Parameters.PNG]]&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;i&amp;gt;Figure 1&amp;lt;/i&amp;gt;. Reactor Sizing Parameters [1]&lt;br /&gt;
&lt;br /&gt;
==Step 5: Preliminary Sizing, Layout, and Costing of Reactor==&lt;br /&gt;
&lt;br /&gt;
The designer can estimate the reactor and catalyst volume from the sizing parameter.  This calculation will yield a value for the active reacting volume necessary.  Clearly, the actual reactor will need additional space.  The geometry of the reactor will depend on the desired flow pattern and mixing requirements [1].  The cost of most reactors can be estimated by determining the cost of a pressure vessel with the same dimensions and adding in the cost of the internals [1].&lt;br /&gt;
&lt;br /&gt;
==Step 6: Estimate Reactor Performance==&lt;br /&gt;
&lt;br /&gt;
At this point in the design process, it is important to verify that the proposed reactor will achieve the target conversions and selectivities.  A combination of experimental methods, such as pilot plants, and computer simulations can be used to predict the full-scale reactor performance.&lt;br /&gt;
&lt;br /&gt;
==Step 7: Optimize the Design==&lt;br /&gt;
&lt;br /&gt;
The reactor is typically a relatively small fraction of the total capital cost [1], so minimal time should be devoted to optimization to reduce the reactor cost.  However, if the target conversion, yields, and selectivities are not met, the process economics could be significantly impacted.  Therefore, steps 2 to 6 should be repeated at least until the minimum specifications are met [1].&lt;br /&gt;
&lt;br /&gt;
=Mixing in Industrial Reactors=&lt;br /&gt;
&lt;br /&gt;
Mixing plays an important role in many processing stages, including reactor performance.  It is critical to select the appropriate method of mixing in order to ensure the process produces the desired process yields, product purity, and cost effectiveness.  &lt;br /&gt;
&lt;br /&gt;
Correlations such as the Reynolds number can be used to determine the extent of mixing and correlate power consumption and heat transfer to the reactor shell [2].  In some cases, simple correlations may not be adequate:&lt;br /&gt;
* If dead zones cannot be tolerated for reasons of product purity, safety, 	etc.&lt;br /&gt;
* If reactor internals are complex&lt;br /&gt;
* If reaction selectivity is very sensitive to mixing&lt;br /&gt;
In these cases, it is usually necessary to carry out a more sophisticated analysis of mixing:&lt;br /&gt;
* Use computational fluid dynamics to model the reactor &lt;br /&gt;
* Use physical modeling (“cold flow”) experiments&lt;br /&gt;
* Use tomography methods to look at performance of real reactor&lt;br /&gt;
&lt;br /&gt;
==Gas Mixing==&lt;br /&gt;
Gases mix easily because of their low viscosities.  The mixing given by turbulent flow in a length of pipe is usually sufficient for most purposes [1].  Orifices, vanes, and baffles can be used to increase turbulence.  &lt;br /&gt;
&lt;br /&gt;
==Liquid Mixing==&lt;br /&gt;
*&#039;&#039;&#039;Inline Mixing&#039;&#039;&#039; Inline mixers can be used for the continuous mixing of low-viscosity fluids.  One inexpensive method involves the use of static devices that promote turbulent mixing in pipelines.  Some typical designs are shown in Figures 2(a), (b), and (c).&lt;br /&gt;
&lt;br /&gt;
::[[File:Static_Mixers.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 2.&#039;&#039; Inline mixers: (a) tee; (b) injection; (c) annular [1]&lt;br /&gt;
&lt;br /&gt;
:: When mixing low viscosity fluids (&amp;lt;50 mNs/m&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) with similar densities and flow rates, a simple mixing tee, Figure 2(a), followed by a length of pipe equal to 10 to 20 pipe diameters, is suitable [1].&lt;br /&gt;
:: When one flow is much lower than the other, an injection mixer, Figure 2(b&amp;amp;c), should be used.  A satisfactory blend will be achieved in about 80 pipe diameters [1].  Baffles or other flow restrictions can be used to reduce the mixing length required.  These mixers work by introducing one fluid into the flowing stream of the other through a concentric pipe or an annular array of jets [1].&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;Stirred Tanks&#039;&#039;&#039;  Stirred tanks were discussed in the [[#Ideal Reactors|Ideal Reactors]] section.  Mixing is conducted by an impeller mounted on a shaft driven by a motor.  The reactor usually contains baffles or other internals to induce turbulence and prevent the contents from swirling and creating a vortex.  Typically, baffles are 1/10 of diameter and located 1/20 of diameter from wall [2].  A typical arrangement of agitator and baffles in a stirred tank, and the flow pattern generated, is shown in Figure 3.  Mixing occurs through the bulk flow of the liquid and by the motion of the turbulent eddies created by the agitator.  Bulk flow is the predominant mixing mechanism required for the blending of miscible liquids and for solids suspension. Turbulent mixing is important in operations involving mass and heat transfer, which can be considered as shear-controlled processes [1].  &lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Arrangements.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 3.&#039;&#039; Agitator arrangements and flow patterns [1]&lt;br /&gt;
&lt;br /&gt;
:At high Reynolds numbers (low viscosity), one of the three basic types of impeller shown in Figure 4 should be used.  For processes controlled by turbulent mixing, the flat-bladed (Rushton) turbines are appropriate.  For bulk mixing, the propeller and pitched-bladed turbines are appropriate [1]. &lt;br /&gt;
&lt;br /&gt;
::[[File:Impeller_Types.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 4.&#039;&#039; Basic impeller types [1]&lt;br /&gt;
&lt;br /&gt;
:For more viscous fluids, paddle, anchor, and helical ribbon agitators (Figures 5(a), (b), and (c)), are used [1].  The selection chart given in Figure 6 can be used to make a preliminary selection of the agitator type, based on the liquid viscosity and tank volume [1].&lt;br /&gt;
&lt;br /&gt;
::[[File:Low_Speed_Agitators.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 5.&#039;&#039; Low-speed agitators [1]&lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Selection_Guide.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 6.&#039;&#039; Agitator selection guide [1]&lt;br /&gt;
&lt;br /&gt;
==Gas-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Gases can be mixed into liquids using the inline mixing or stirred tank methods discussed previously.  A special type of gas injector, called a sparger (shown in Figure 7) can also be used.  This is a long injection tube with multiple holes drilled in it.  &lt;br /&gt;
&lt;br /&gt;
[[File:Gas_Sparger.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 7.&#039;&#039; Gas sparger [1]&lt;br /&gt;
&lt;br /&gt;
A small flow of liquid can be dispersed into a gas stream using a spray nozzle (Figure 8).&lt;br /&gt;
&lt;br /&gt;
[[File:Liquid_Injection.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 8.&#039;&#039; Liquid injection into gas [1]&lt;br /&gt;
&lt;br /&gt;
==Solid-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Solids are usually added to a liquid in a stirred tank at atmospheric pressure.  In order to allow more accurate control of dissolved solid concentration, mixing of solids and liquids is often carried out as a batch operation [1].&lt;br /&gt;
&lt;br /&gt;
=Types of Reactors=&lt;br /&gt;
&lt;br /&gt;
Most reactors used in industry approximate the ideal batch reactor, PFR, or CSTR.  In fact, real reactors can be modeled as networks or combinations of multiple plug-flow and stirred-tank reactors [1]. Examples of real reactors that approximate the flow pattern of ideal reactors are shown in Figure 10.  These reactors will be discussed in more detail in the following sections.&lt;br /&gt;
&lt;br /&gt;
[[File:Types_of_Reactors.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 10.&#039;&#039; Ideal reactors and some real reactors that approximate the same flow pattern [1]&lt;br /&gt;
&lt;br /&gt;
==Vapor-Liquid Reactors==&lt;br /&gt;
&lt;br /&gt;
Vapor-liquid reactions are important in many chemical processes.  For example, oxygenation and hydrogenation reactions are usually carried out with the organic component in the liquid phase [1].  A summary of common goals for vapor-liquid reactors and the reactors used to achieve those goals is shown in Table 1.&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Goal !! Types of Vapor-Liquid Reactors !! Examples&lt;br /&gt;
|-&lt;br /&gt;
| Maintain low concentration of gas component in liquid || &lt;br /&gt;
* Sparged stirred tank reactor&lt;br /&gt;
* Sparged tubular reactor&lt;br /&gt;
 || &lt;br /&gt;
* Liquid phase oxidations using air&lt;br /&gt;
* Fermenters&lt;br /&gt;
|-&lt;br /&gt;
| Contact gas and liquid over catalyst || &lt;br /&gt;
* Trickle bed reactor &lt;br /&gt;
*Slurry phase reactor &lt;br /&gt;
|| &lt;br /&gt;
* Catalytic hydrogenation&lt;br /&gt;
|-&lt;br /&gt;
| React a component out of the gas phase to high conversion || &lt;br /&gt;
* Multi-stage V/L contactor (reactive absorption column) &lt;br /&gt;
* Venturi scrubber &lt;br /&gt;
|| &lt;br /&gt;
*Chemisorption &lt;br /&gt;
*Acid gas scrubbing&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 1.&#039;&#039; Summary of Vapor-Liquid Reactors [2]&lt;br /&gt;
&lt;br /&gt;
If the residence time requirements are short enough, vapor-liquid contacting columns are preferred because of the high area for mass transfer.  Trayed or packed columns can be used to contact vapor and liquid for reaction.  The column packing may be catalytically active or could be inert packing [2].  Please see the [[separation processes]] section of this website for more information on the types of processes used for the third goal listed.  &lt;br /&gt;
&lt;br /&gt;
Stirred tanks or tubular reactors are used when long residence time is needed for the liquid phase [1].  These types of reactors and more will be discussed in the [[#Catalytic Processes|catalytic processes]] section of this page.&lt;br /&gt;
&lt;br /&gt;
The reactors listed under the first goal in the table are unique to vapor-liquid processes.  The basic concept of a sparger was discussed in the [[#Mixing in Industrial Reactors|mixing]] section.  Sparged reactors are shown in Figure 11. &lt;br /&gt;
&lt;br /&gt;
[[File:Sparged_Reactors.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 11.&#039;&#039; Sparged stirred tank and tubular reactors [2]&lt;br /&gt;
&lt;br /&gt;
The gas is bubbled up through the liquid in a sparged reactor.  For smaller bubbles, a porous pipe diffuser can be used instead [2].  The designer must allow some disengaging space at the top of the reactor, or entrainment will be excessive.  If the gas flow rate is large then the gas flow can be used as the primary means of agitation.  Perry&#039;s Handbook suggests the following air rates (ft&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/ft&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;min) for agitating an open tank full of water at 1 atm:&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Degree of agitation !! Liquid depth 9 ft !! Liquid depth 3 ft&lt;br /&gt;
|-&lt;br /&gt;
| Moderate || 0.65 || 1.3&lt;br /&gt;
|-&lt;br /&gt;
| Complete || 1.3 || 2.6&lt;br /&gt;
|-&lt;br /&gt;
| Violent || 3.1 || 6.2&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 2.&#039;&#039; Summary of suggested flow rates for gas flow as agitation [2]&lt;br /&gt;
&lt;br /&gt;
==Catalytic Processes==&lt;br /&gt;
A catalyst increases the rate of a chemical reaction without itself becoming permanently changed by the reaction.  Catalysts allow reactions to be run in smaller reactors and operated at lower temperatures and improve selectivity.  Therefore, catalysts will almost always lead to a more economically attractive process than a noncatalytic route.  [1]  Catalysts are normally selected based on performance rather than price since increases catalysts selectivity will almost always quickly pay back any price premium expected by the manufacturer.  It is important to test the catalysts under conditions that are representative of process conditions [1].  &lt;br /&gt;
&lt;br /&gt;
Catalyst activity often deteriorates over time [2].  Common causes of deactivation include:&lt;br /&gt;
* Poisoning by components in feed (e.g. base destroys acid catalyst)&lt;br /&gt;
* Blockage of pores or active sites by byproducts such as coke&lt;br /&gt;
* Thermal or hydrothermal modification of catalyst structure&lt;br /&gt;
Slow activity loss can be compensated by:&lt;br /&gt;
* Putting in more catalyst (lower space velocity)&lt;br /&gt;
* Slowly raising reactor temperature&lt;br /&gt;
Rapid activity loss may require moving the catalyst to a continuous regeneration zone [2].&lt;br /&gt;
&lt;br /&gt;
Catalytic reactions can be either homogenous (catalyst is in the same phase as the reagents) or heterogeneous (catalyst is not in the same phase as the reagents).&lt;br /&gt;
&lt;br /&gt;
===Homogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
:Homogeneous catalysis can be conducted in the basic batch reactors, PFRs, or CSTRs that have already been discussed.  However, when the catalyst is in the same phase as the reagent, recovering this catalyst after the reaction can be difficult and expensive, particularly if the catalyst is sensitive to high temperatures [2].  Providing adequate interfacial area is also a challenge of homogeneous catalysis.  A reaction often only occurs at the interface or in the boundary layer between the catalyst and the reagents.  Increased mixing can increase the rate and selectivity of the reaction, but this can require detailed and expensive mixing equipment [2].  For these reasons, reactions requiring homogenous catalysts are not usually used unless an easy separation can be found to recover the catalyst.&lt;br /&gt;
&lt;br /&gt;
===Heterogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
: Catalyst recovery in processes involving heterogeneous catalysis is much easier.  However, the rate of reaction is limited by the available inter-phase surface area and the mass transfer of reagents and products to and from the interface [2].  Therefore, reactors for these processes are design to reduce these limitations.&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Fixed Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: In a fixed-bed reactor, the reagent flows over a stationary bed of packed catalyst [1].  This is the most common type of reactor used for heterogeneous catalysis as long as the catalyst does not require continuous regeneration and the reaction mixture does not require high agitation [2].  The amount of catalyst necessary can be found using the following equations:&lt;br /&gt;
&lt;br /&gt;
::[[File:Catalyst_Calcs.png]]&lt;br /&gt;
&lt;br /&gt;
:: The ratio of the bed height (L) to the diameter (D) determines the distribution of reagents and the pressure drop across the bed.  An increased L/D ratio creates a more even distribution and less change of localized deactivation or &amp;quot;hot spots.&amp;quot;  However, increasing the L/D ratio increases the pressure drop, requiring higher compression and pumping costs [2].  The Ergun equation can be used to calculate the pressure drop in packed beds. &lt;br /&gt;
&lt;br /&gt;
:: [[File:Ergun.png]]&lt;br /&gt;
&lt;br /&gt;
::Where V is the superficial velocity (volume flowrate divided by cross-sectional area), μ is the viscosity, D&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; is the particle diameter and ε is the porosity of the packed bed [2]. Given these trade-offs, it may make sense to split the catalyst over several beds [2].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Radial Flow Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: When there is very little pressure drop available, the L/D ratio must be much less that one [2].  A common solution to this is to use a radial flow reactor with the catalyst contained in an annulus between vertical perforated or slotted screens.  The fluid flows radially through the bed and the direction of flow can be either inwards or outwards [1].  An example of a radial flow reactor is shown in Figure 12.&lt;br /&gt;
&lt;br /&gt;
:: [[File:Radial_flow.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 12.&#039;&#039; Radial flow reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Moving Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: A moving bed reactor is similar to a radial flow reactor, but the catalyst is moved through the annular space [2].&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Fluidized Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: If the fluid flow is up through the catalyst bed then the bed can become fluidized if the pressure drop is high enough to support the weight of the catalyst.  Fluidized beds usually have a lower pressure drop than down flow at high flow rates [2].  In addition, fluidizing the catalyst eases the transition from one reaction zone to another.&lt;br /&gt;
&lt;br /&gt;
:: The catalyst bed is fluidized using a distributor to inject fluidization fluid, which is not necessarily the feed.  Fluidization occurs when the bed pressure drop balances the weight of the particles, or &lt;br /&gt;
&lt;br /&gt;
::[[File:Fluid_Eqn.png]]&lt;br /&gt;
&lt;br /&gt;
::Where ∆P is the pressure drop, ρ&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; and ρ&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; are the densities of the particle and gas respectively, ε&amp;lt;sub&amp;gt;m&amp;lt;/sub&amp;gt; is the porosity at minimum fluidization, and L is the height of the bed [2].  Fluidization can only be used with relatively small sized particles (&amp;lt;300 micrometers with gases).  The solid material must be strong enough to withstand attrition in the fluidized bed and cheap enough to allow for make-up to replace attrition losses [1].  A fluidized-bed reactors must also make allowance for separating the fluid-phase product from entrained solids so that solids are not carried out of the reactor [1].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Trickle Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Trickle bed reactors are used when all three phases are involved in the reaction.  They must ensure good distribution of both the vapor and the liquid, without channeling of either phase [2].  In a trickle bed reactor, the liquid flows down over the surface of a stationary bed of solids.  The gas phase usually also flows downwards with the liquid, but countercurrent flow is feasible as long as flooding conditions are avoided [1].  This requires a more sophisticated distributor like those used for packed distillation columns [2].  An example of a trickle bed reactor is shown in Figure 13.&lt;br /&gt;
&lt;br /&gt;
::[[File:trickle_bed.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 13.&#039;&#039; Example of trickle bed reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Slurry Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
::Liquid is mixed up in the liquid in slurry phase reactions.  Slurry reactors are prone to attrition of the solids, caused by pumping or agitation of the liquid [1].  Slurry-phase operation is usually not preferred for processes that use heterogeneous catalysts because the catalyst tends to become eroded and can be difficult to recover from the liquid [1].&lt;br /&gt;
&lt;br /&gt;
==Bioreactors==&lt;br /&gt;
&lt;br /&gt;
Bioreactors have requirements that add complexity compared to simpler chemical reactors.  These reactions often are three-phase (cells, water, and air), need sterile operation, and require heat removal [2].  However, biological systems have the following advantages:&lt;br /&gt;
* Some products can only be made by biological routes&lt;br /&gt;
* Large molecules such as proteins can be made&lt;br /&gt;
* Selectivity for desired product can be very high&lt;br /&gt;
* Products are often very valuable &lt;br /&gt;
&lt;br /&gt;
===Enzyme Catalysis===&lt;br /&gt;
&lt;br /&gt;
Enzymes are the biological equivalent of catalysts.  They can sometimes be isolated from host cells. They are usually proteins and, therefore, most are thermally unstable above ~60 degrees Celsius and active only in water at a restricted pH [2].  Enzymes can sometimes be absorbed onto a solid or encapsulated in a gel without losing their structure.  In this case, they can be used in a conventional fixed bed reactor.  Typically, homogenous reactions are carried out in batch reactors.&lt;br /&gt;
&lt;br /&gt;
===Cell Growth===&lt;br /&gt;
&lt;br /&gt;
Cell growth goes through several phases during a batch, shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
[[File:Cell_Growth_Rate.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 15.&#039;&#039; Cell growth and product formation in batch fermentation [1]&lt;br /&gt;
&lt;br /&gt;
* I: Innoculation: slow growth while cells adapt to new environment&lt;br /&gt;
* II: Exponential growth: growth rate proportional to cell mass&lt;br /&gt;
* III: Slow growth as substrate or other factors begin to limit rate&lt;br /&gt;
* IV: Stationary phase: cell growth rate and death rate are equal&lt;br /&gt;
* V: Decline phase: cells die or sporulate, often caused by product build-up&lt;br /&gt;
&lt;br /&gt;
Intracellular product accumulation is slow at first because there are a limited number of cells [2].  However, it is important to note that product accumulation continue even after the live cell count falls, since dead cells still contain product.&lt;br /&gt;
&lt;br /&gt;
The growth rate of cells can be limited by factors such as:&lt;br /&gt;
* The availability of the primary subtrate&lt;br /&gt;
** Typically glucose, fructose, sucrose, or other carbohydrate&lt;br /&gt;
* The availability of other metabolites&lt;br /&gt;
** Vitamins, minerals, hormones, or enzyme cofactors&lt;br /&gt;
* The availability of oxygen&lt;br /&gt;
* Mass transfer properties of the reaction system&lt;br /&gt;
* Inhibition or poisoning by products or byproducts&lt;br /&gt;
* High temperature caused by inadequate heat removal&lt;br /&gt;
&lt;br /&gt;
All of these factors are exacerbated at higher cell concentrations [2].  Clearly, biological reactions must be carefully controlled.  An addition complication in dealing with biological reactions is that the product formation is often not closedly tied to the rate of consumption of the substrate [2].  This is because of the fact that the product may be made by the cells at a relatively low concentration and the fact that some cell metabolic processes may not be involved in formation of the desired product [2].&lt;br /&gt;
&lt;br /&gt;
===Types of Bioreactors===&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Stirred Tank Fermenter&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: The stirred tank fermenter is the most common reactor used for biological reactions [2] and is similar to the stirred tanks discussed previously.  It can be used in both batch and continuous mode.  Figure 14 shows a stirred tank fermenter.&lt;br /&gt;
&lt;br /&gt;
::[[File:Fermentation.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 14.&#039;&#039; Fermentation reactor [1]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Shaftless Bioreactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Shaftless bioreactors are used when the pump shaft seal is considered a non-permissible source of contamination.  These reactors use gas flow to provide agitation of the liquid.  The design requires careful attention to hydraulics [2].  Examples of shaftless bioreactors are shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
::[[File:Shaftless.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 15.&#039;&#039; Examples of shaftless bioreactors [2]&lt;br /&gt;
&lt;br /&gt;
=Heating and Cooling of Reacting Systems=&lt;br /&gt;
&lt;br /&gt;
Exothermic and endothermic reactions will require reactors with heat control systems to prevent operating conditions from falling out of the desired range. Reactor performance is often limited by the ability to add or remove heat.  Insufficient heat removal can cause runaway reactions, particularly dangerous situations in chemical processing [4].  Before considering the design of a heating or cooling system to couple with a reactor, a few important questions should be asked[1].&lt;br /&gt;
&lt;br /&gt;
1. Can the reaction be carried out adiabatically?&lt;br /&gt;
&lt;br /&gt;
2. Can the feeds provide the required heating or cooling? Staged addition of feed can help alleviate the cost of adding a heat exchange network or heat transfer jacket.  Also consider adding an inert diluent or hot/cold shots [3].&lt;br /&gt;
&lt;br /&gt;
3. Would it be more cost effective to carry out the heat exchange outside of the reactor?&lt;br /&gt;
&lt;br /&gt;
4. Would it be more effective to carry out the reaction inside of a heat transfer device? If a reaction requires only a small volume or small quantities of catalyst, it may be possible to utilize a heat exchanger as a temperature controller and as a reaction location.&lt;br /&gt;
&lt;br /&gt;
5. Does the proposed design allow the process to be started up and shut down smoothly?&lt;br /&gt;
&lt;br /&gt;
6. Are there safety concerns with heating or cooling the reactor?&lt;br /&gt;
&lt;br /&gt;
After considering these aspects of the design, commercial design software such as HYSYS or UniSim can be utilized to estimate heating/cooling requirements. Once this is done, design of the heat exchange system can begin, with different reactor types and reactions requiring different design approaches[1].&lt;br /&gt;
&lt;br /&gt;
==Stirred Tank Reactors==&lt;br /&gt;
&lt;br /&gt;
Heating and cooling of a stirred tank reactor is done to ensure a uniform reaction temperature, so that there do not exist hot or cold spots within the reactor that can negatively affect selectivity[1]. &lt;br /&gt;
&lt;br /&gt;
For indirect heat transfer, there are three main alternatives: a heat transfer jacket, an internal coil, and an external heat transfer circuit. A jacket is utilized as long as there is sufficient heat transfer area for the heat exchange to take place. If this is not the case, coils are used, although the inclusion of a heating coil will significantly increase reactor volume and utility requirements, leading to a large increase in price for the reactor. External circuits contain a heat exchanger that will heat or cool the product stream as required and recycle this material to the reactor to control temperature. External circuits are useful because they can be designed independently of the reactor; sizing the required pumps and heat exchangers will not fundamentally change the activity of the reactor. For any of these choices, it should be ensure that no corrosion of the involved piping will occur, as utility streams bleeding into the reactor can have a very negative impact on the selectivity of the reaction and on the operation of the reactor on a whole[1].&lt;br /&gt;
&lt;br /&gt;
Some direct heat transfer alternatives also exist, as long the reaction in question is compatible with the addition of extra water. Steam can be pumped into the reactor to maintain temperature, which will eliminate the need to design heat transfer surfaces. However, steam injected into the system cannot be recovered, so this will lead to an increase in annual utility costs. Additionally, vapor will be produced if it did not exist previously, so reactors will need to be redesigned to accommodate a vapor removal system[1]. &lt;br /&gt;
&lt;br /&gt;
==Catalytic Reactors==&lt;br /&gt;
&lt;br /&gt;
===Slurry Reactors===&lt;br /&gt;
&lt;br /&gt;
Since slurry reactors already use a mix of solid catalyst and liquid reactants, any of the methods described in the Stirred Tank Reactors section can be applied to slurry reactors. It is not recommended to use internal coils in such a design, as reactor slurry will often corrode heat exchange material very easily[1].&lt;br /&gt;
&lt;br /&gt;
===Fixed-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Indirect heat transfer is not often utilized to control the temperature in fixed-bed reactors, as it hard to maintain uniform temperature across the radial section of the catalyst bed. In cases where temperature control is required, the reactor will be split into smaller sections. After each bed, there will be an heat transfer stage, where the product stream is heated or cooled as necessary and returned to the next catalytic segment[1]. &lt;br /&gt;
&lt;br /&gt;
===Fluidized-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Fluidized bed reactors have high heat-transfer coefficients, so indirect heat transfer is highly effective. The heat capacity of the solid catalyst particles can be used as a heat transfer medium themselves; heated catalyst contains a reaction location and the necessary heat to maintain the required temperature. Deactivated catalyst is heated during reactivation and recycle[1].&lt;br /&gt;
&lt;br /&gt;
==Heat Exchangers as Reactors==&lt;br /&gt;
&lt;br /&gt;
It is sometimes necessary to design a reactor as a heat transfer device, like when it is necessary to operate a reactor isothermally and there is a large heat of reaction. Some common situations include high-temperature endothermic reactions that quickly quench without continuous heat input and low-temperature exothermic reactions that must be kept at constant temperature to maintain selectivity. The most common heat transfer equipment used for reactions are shell and tube heat exchangers and fired heaters[1].&lt;br /&gt;
&lt;br /&gt;
===Homogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
If the reaction does not required a catalyst, than the heat transfer design is the same as a conventional heat transfer device, with some important changes in the thermal design. The usual heat exchanger equations will not apply to the design of a heat exchanger reactor due to the nonlinear behavior of the reaction rate with regards to temperature. In these cases, the usual practice of conservative temperature estimations will not aid in heat transfer design, as greater detail will be required to ensure the proper operation of the reactor. Detailed kinetic models should be developed before designing the internals of the heat transfer device[1].&lt;br /&gt;
&lt;br /&gt;
===Heterogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
The problems of designing for homogenous reactions still hold for heterogenous ones, with the added complication of solid catalyst beds. Catalyst can be loaded into the tubes of a shell and tube exchanger if the exchanger is mounted vertically and a suitable retaining screen is included at either end of the design. In this instance, hot catalyst can be reliably recycled and heat treated to reactivate the catalysts and reduce the presence of reactor hot spots. High-temperature endothermic reactions will be even more difficult to design for, as their heat requirements often exceed the amount provided by a heated catalyst. In these cases, a &amp;quot;tube in tube&amp;quot; design is utilized, where feed and catalyst are heated simultaneously by an external fired heater. This can be done as long as thermal expansion does not cause damage to the tubes, or else significant catalyst poisoning can occur. The same concerns as detailed in homogenous reactions will still apply for any design utilized for heterogenous ones, so it is again recommended to develop a detailed kinetic model before determining the amount of heat transfer required to maintain proper selectivity[1].&lt;br /&gt;
&lt;br /&gt;
=Safety Considerations in Reactor Design=&lt;br /&gt;
&lt;br /&gt;
Reactors require much attention to safety details in the design process due to the hazards they impose.  They are often the highest temperature point in the process, heat of reaction may be released, and residence times can be long leading to a large inventory of chemicals.  Guidelines exist for inherently safer design principles which seek to remove or reduce process hazards, limiting the impact of unforeseen events.  These design methods should be applied throughout the design process as part of good engineering practice; they cannot be retroactively added by a process safety specialist.  Some examples are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(table 15.16 in Towler)&lt;br /&gt;
&lt;br /&gt;
Exothermic reactions require special consideration due to their potential to runaway (temperature rises from heat of reaction being released, increasing reaction rate, releasing more heat, and so on).  The reactor must be designed such that temperature can be precisely controlled and the reaction shut down if temperature control is lost.  The use of solvents or inert species also allows for temperature control by adjusting heat capacity flow rate relative to rate of heat release from the reaction.  An additional safety feature would allow the reactor to be flooded with cold solvent or diluent.&lt;br /&gt;
&lt;br /&gt;
If there is a cooling system it should be designed to return the process to desired temperature if the maximum temperature is reached.  &lt;br /&gt;
&lt;br /&gt;
Venting and relief of reactors is complicated by the potential to keep reacting if containment is lost or material is discharged into the pressure relief system.  The relief system should be designed according to guidelines outlined in the Design Institute for Emergency Relief Systems (DIERS) methodology.  The reactor design team must understand the reaction mechanism and kinetics, including the role of any compounds which may accelerate the reaction.  Details may be found on the AIChE website, [http://www.aiche.org/diers here].&lt;br /&gt;
&lt;br /&gt;
=Capital Cost of Reactors=&lt;br /&gt;
&lt;br /&gt;
Reactors are classified as pressure vessels, and as such the pressure vessel design methods can be used to estimate wall thickness and thus determine capital cost.  Additional costs come from reactor internals or other equipment.  Jacketed stirred-tank reactors require more in depth analysis than that provided by pressure vessel design.  The wall of the reaction vessel may be in compression due to the jacket.  For preliminary cost estimating a correlation for jacketed stirred tank reactors operating at pressures below 20 bar can be used:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;C_e = a + b S^n&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;C_e&amp;lt;/math&amp;gt; is the purchased equipment cost on a U.S. Gulf Coast Basis, &amp;lt;math&amp;gt;a, b&amp;lt;/math&amp;gt; are cost constants, &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is the size parameter, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the exponent for that type of equipment.  Values for &amp;lt;math&amp;gt;a, b, S, n&amp;lt;/math&amp;gt; are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(Table 7.2 Towler)&lt;br /&gt;
&lt;br /&gt;
=Conclusions=&lt;br /&gt;
&lt;br /&gt;
The conversion of feed to products is the essence of a chemical process and, thus, the reactor is the heart of a chemical plant.  When designing a reactor, an engineer must first collect data about the chemical reaction and then select appropriate reaction conditions, which will help determine suitable materials of construction.  Next, the designer should determine the rate-limiting step and, from this, the critical sizing parameter. Next, preliminary sizing, layout, and costing can be conducted for the reactor.  At this point, simulations and experiments can be conducted to verify that the proposed reactor will meet the desired specifications.  The design is optimized until these targets are met.  Throughout the design process, it is important for the engineer to consider the most appropriate type of reactor to use, any mixing or heat transfer equipment that must be added, and safety considerations.&lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
# Towler, G.P. and Sinnot, R. (2012). &#039;&#039;Chemical Engineering Design: Principles, Practice and Economics of Plant and Process Design.&#039;&#039; Elsevier.&lt;br /&gt;
#Towler, G.P. (2012). &#039;&#039;Chemical Engineering Design&#039;&#039;, PowerPoint presentation.&lt;br /&gt;
#Seider, W.D. (2004). &#039;&#039;Process Design Principles: Synthesis, Analysis, and Evaluation&#039;&#039;, Wiley: New York.&lt;br /&gt;
#Turton, R.T. (2003). &#039;&#039;Analysis, Synthesis, and Design of Chemical Processes&#039;&#039;, Prentice Hall: Upper Saddle River.&lt;br /&gt;
#Douglas, J.M. (1988). &#039;&#039;Conceptual Design of Chemical Processes&#039;&#039;, McGraw-Hill: New York.&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1048</id>
		<title>Reactors</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1048"/>
		<updated>2014-02-10T04:24:30Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Batch Reactors */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Title: Reactors&lt;br /&gt;
&lt;br /&gt;
Author: Sean Cabaniss, David Park, Maxim Slivinsky and Julianne Wagoner&lt;br /&gt;
&lt;br /&gt;
Steward: Fengqi You&lt;br /&gt;
&lt;br /&gt;
Date Presented: February 4, 2014 &lt;br /&gt;
&lt;br /&gt;
&amp;lt;!-- Table of Contents --&amp;gt;&lt;br /&gt;
__TOC__&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
&lt;br /&gt;
The center of any chemical process is the reactor, where chemical reactions are carried out to transform feeds into products.  Reactor design is a vital step in the overall design of a process.  It is important to ensure that the equipment specified will be capable of achieving the desired yields and selectivity. &lt;br /&gt;
&lt;br /&gt;
==Ideal Reactors==&lt;br /&gt;
&lt;br /&gt;
===Batch Reactors===&lt;br /&gt;
&lt;br /&gt;
In a batch reactor, the reagents are added together and allowed to react for a given amount of time.  The compositions change with time, but there is no flow through the process.  Additional reagents may be added as the reaction proceeds, and changes in temperature may also be made.  Products are removed from the reactor after the reaction has proceeded to completion.&lt;br /&gt;
&lt;br /&gt;
Batch processes are suitable for small-scale production (less than 1,000,000 lb/yer) and for processes where several different products or grades are to be produced in the same equipment [5].  When production volumes are relatively small and/or the chemistry is relatively complex, batch processing provides an important means of quality control.&lt;br /&gt;
&lt;br /&gt;
===Plug Flow Reactor (PFR)===&lt;br /&gt;
&lt;br /&gt;
A PFR with tubular geometry has perfect radial mixing but no axial mixing.  All materials hav the same residence time, τ, and experience the same temperature and concentration profiles along the reactor.  Equation for PFR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;dM = \Re dV&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where M = molar flow rate, dV is the incremental volume, and &amp;lt;math&amp;gt;\Re&amp;lt;/math&amp;gt; is the rate of reaction per unit volume.&lt;br /&gt;
&lt;br /&gt;
This equation can be integrated along the length of the reactor to yield relationships between reactor resident time and concentration or conversion.&lt;br /&gt;
&lt;br /&gt;
===Continuously Stirred Tank Reactor (CSTR)===&lt;br /&gt;
&lt;br /&gt;
The stirred tank reactor models a large scale conventional laboratory flask and can be considered to be the basic chemical reactor.  In a CSTR, shown in Figure 1, there is no spatial variation- the entire vessel contents are at the same temperature, pressure, and concentration.  Therefore the fluid leaving the reactor is at the same temperature and concentration as the fluid inside the reactor.&lt;br /&gt;
&lt;br /&gt;
The material balance across the CSTR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;M_\text{in}-M_\text{out}= \Re V&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Some of the material the enters the reactor can leave immediately, while some leaves much later, so there is a broad distribution in residence time as shown in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:CSTR.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Continuously Stirred Tank Reactor [1]&lt;br /&gt;
&lt;br /&gt;
More information on stirred tanks can be found in the [[#Mixing in Industrial Reactors|Mixing]] section.&lt;br /&gt;
&lt;br /&gt;
=General Reactor Design=&lt;br /&gt;
&lt;br /&gt;
The design of the reactor should not be carried out separately from the overall process design due to the significant impact on capital and operating costs on other parts of the process[1].  &lt;br /&gt;
&lt;br /&gt;
==Step 1: Collect Required Data==&lt;br /&gt;
&lt;br /&gt;
Out of all process equipment, reactor design requires the most process input data: reaction enthalpies, phase-equilibrium constants, heat and mass transfer coefficients, as well as reaction rate constants.  All of the aforementioned parameters can be estimated using simulation models or literature correlations except for reaction rate constant constants, which need to be determined experimentally [1].&lt;br /&gt;
&lt;br /&gt;
===Enthalpy of Reaction===&lt;br /&gt;
&lt;br /&gt;
: The heat given out in a chemical reaction is based on the enthalpies of the component chemical reactions, which are given for standard temperature and pressure (1 atm, 25 C).  Values for standard heats of reaction can be found tabulated in literature, or can be calculated from heats of formation or combustion.  Care must be taken to quote the basis for the heat of reaction and the states of reactants and products.&lt;br /&gt;
&lt;br /&gt;
: The following equation is used to convert enthalpies from standard conditions to the process conditions:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,P,T} = \Delta H_\text{r}^{\circ} + &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: If the effect from pressure is not significant and only Temperature needs to be accounted for, the following equation should be used:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,T} = \Delta H_\text{r}^{\circ} + \Delta H_\text{prod.} + \Delta H_\text{react.}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Equilibrium Constant and Gibbs Free Energy===&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta G = -\mathbf{R} T \ln K &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: Where &amp;lt;math&amp;gt;\Delta G&amp;lt;/math&amp;gt; is the change in Gibbs free energy from the reaction at temperature &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;\mathbf{R}&amp;lt;/math&amp;gt; is the ideal gas constant, and &amp;lt;math&amp;gt;K&amp;lt;/math&amp;gt; is the reaction equilibrium constant, given by:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;K = \prod_{i=1}^n {a_i}^{\alpha_i} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: where &amp;lt;math&amp;gt;a_i&amp;lt;/math&amp;gt; is the activity of component i, &amp;lt;math&amp;gt;\alpha_i&amp;lt;/math&amp;gt; is the stoichiometric coefficient of component &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt;, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the total number of components.&lt;br /&gt;
&lt;br /&gt;
: Equilibrium constants can be found in the literature and are useful for evaluating the rates of forward and reverse reactions.  Care must be taken to the experimental design used for the literature equilibrium constants to make sure they are consistent with the conditions of the actual process reactor.  For more complicated reactions consisting of several sequential or simultaneous reactions, the equilibrium is found by minimizing the Gibbs free energy [1].  Commercial process simulation programs use the Gibbs reactor model in this way.  &lt;br /&gt;
&lt;br /&gt;
===Reaction Mechanisms, Rate Equations, and Rate Constants===&lt;br /&gt;
&lt;br /&gt;
: In most cases the main process reaction rate equations and rate constants cannot be predicted from first principles and must be approximated [1].  This is due to the following:&lt;br /&gt;
&lt;br /&gt;
* Use of heterogeneous catalysis or enzymes which lead to Langmuir-Hinshelwood-Hougen-Watson or Michaelis-Menten kinetics&lt;br /&gt;
* Mass transfer between vapor and liquid or two liquid phases&lt;br /&gt;
* Multistep mechanisms whose rate expressions do not follow overall reaction stoichiometry&lt;br /&gt;
* Competing side reactions&lt;br /&gt;
&lt;br /&gt;
: As a result the main process reaction is usually approximated as first- or second-order over a narrow range of process conditions (temperature, pressure, species concentrations) to estimate the residence time required for a target conversion.  Rate equations are always a fit for experimental data and should thus be used for interpolation within the data.  It is important to collect more data when extrapolating, especially for exothermic reactions which have the potential for runaway [1].&lt;br /&gt;
&lt;br /&gt;
===Heat and Mass Transfer Properties===&lt;br /&gt;
&lt;br /&gt;
====Heat Transfer====&lt;br /&gt;
:: The design of internal heating or cooling devices can be found in [https://processdesign.mccormick.northwestern.edu/index.php/Heat_Transfer_Equipment Heat Transfer Equipment].  Correlations for tube-side heat-transfer coefficients for catalyst-packed tubes of a heat exchanger are given below:&lt;br /&gt;
&lt;br /&gt;
:: For heating: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = .813 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.9} e^{-6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for cooling: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = 3.50 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.7} e^{-4.6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt; is the tube-side heat transfer coefficient for a packed tube, &amp;lt;math&amp;gt;d_t&amp;lt;/math&amp;gt; is the tube diameter, &amp;lt;math&amp;gt;\lambda_f&amp;lt;/math&amp;gt; is the fluid thermal conductivity, &amp;lt;math&amp;gt;\rho_f&amp;lt;/math&amp;gt; is the fluid density, &amp;lt;math&amp;gt;u&amp;lt;/math&amp;gt; is the superficial velocity, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the effective particle diameter, and &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the fluid viscosity.&lt;br /&gt;
&lt;br /&gt;
====Diffusion Coefficients====&lt;br /&gt;
&lt;br /&gt;
:: Diffusion coefficients are necessary when mass transfer can limit the rate of reaction, such as in catalytic reactions or reactions involving mass transfer processes such as gas absorption, distillation, and liquid-liquid extraction.  &lt;br /&gt;
&lt;br /&gt;
:: The diffusivity for gases can be estimated by the following correlation (Fuller, Schettler, Giddings):&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_v = \frac{1.013 \times 10^{-7} T^{1.75} {\left ( \frac{1}{M_a} + \frac{1}{M_b} \right )}^{1/2} }{P {\left [ {\left ( \sum_{a} v_i  \right )}^{1/3}  + {\left ( \sum_{b} v_i  \right )}^{1/3}  \right ]}^2  } &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_v&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is temperature, &amp;lt;math&amp;gt;M_a , M_b&amp;lt;/math&amp;gt; are the molecular masses of components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;P&amp;lt;/math&amp;gt; is the total pressure, and &amp;lt;math&amp;gt;\sum_{a} v_i , \sum_{b} v_i&amp;lt;/math&amp;gt; are the summation of special diffusion volume coefficients for components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, given in the table below:&lt;br /&gt;
&lt;br /&gt;
:: (volume coefficient table from towler)&lt;br /&gt;
&lt;br /&gt;
:: Wilke and Chang developed a correlation for estimating the diffusivity of components in the liquid phase:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_L =  \frac{1.173 \times 10^{-13} {(\phi M_w)}^{1/2} T}{\mu V_m^{.6}} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid diffusivity, &amp;lt;math&amp;gt;\phi&amp;lt;/math&amp;gt; is an association factor for the solvent, &amp;lt;math&amp;gt;M_w&amp;lt;/math&amp;gt; is the molecular mass of the solvent, &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the solvent viscosity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is the temperature, and &amp;lt;math&amp;gt;V_m&amp;lt;/math&amp;gt; is the molar volume of the solute at its boiling point.  This correlation holds for organic compounds in water but not for water in organic solvents.&lt;br /&gt;
&lt;br /&gt;
====Mass Transfer====&lt;br /&gt;
&lt;br /&gt;
:: For multiphase reactors it is necessary to estimate the mass transfer coefficient.  &lt;br /&gt;
&lt;br /&gt;
:: The equation of Gupta and Thodos predicts the mass transfer coefficient for a packed bed of particles:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac{k d_p}{D} = 2.06 \frac{1}{\epsilon} {Re}^{.425} {Sc}^{.33} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the particle diameter, &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;Re&amp;lt;/math&amp;gt; is the Reynolds number calculated using the superficial velocity through the bed, &amp;lt;math&amp;gt;Sc&amp;lt;/math&amp;gt; is the Schmidt number,  and &amp;lt;math&amp;gt;\epsilon&amp;lt;/math&amp;gt; is the bed void fraction.&lt;br /&gt;
&lt;br /&gt;
:: Mass transfer between vapor and liquid in an agitated vessel can be described by the Van&#039;t Riet equations:&lt;br /&gt;
&lt;br /&gt;
:: For air-water: &amp;lt;math&amp;gt; k_L a = 0.026 {\left ( \frac{P_a}{V_{liq}} \right )}^{.4} Q^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for air-water-electrolyte: &amp;lt;math&amp;gt; k_L a = 0.002 {\left ( \frac{P_a}{V_{liq}} \right )}^{.7} Q^{.2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k_L&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; is the interfacial area per unit volume, &amp;lt;math&amp;gt;Q&amp;lt;/math&amp;gt; is the gas volumetric flow rate, &amp;lt;math&amp;gt;V_{liq}&amp;lt;/math&amp;gt; is the liquid volume, and &amp;lt;math&amp;gt;P_a&amp;lt;/math&amp;gt; is the agitator power input.&lt;br /&gt;
&lt;br /&gt;
:: Fair&#039;s method for calculating the mass transfer coefficient for low viscosity systems is given by:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac {{(k_L a)}_{system}}{{(k_L a)}_{air-water}} = {\left ( \frac{D_{L,system}}{D_{L, air-water}} \right )}^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid phase diffusivity.  &lt;br /&gt;
&lt;br /&gt;
:: Mass transfer correlations for vapor-liquid systems should be used with caution when there are surfactants [1].&lt;br /&gt;
&lt;br /&gt;
==Step 2: Select Reaction Conditions==&lt;br /&gt;
&lt;br /&gt;
===Chemical or Biochemical Reaction===&lt;br /&gt;
&lt;br /&gt;
===Catalyst===&lt;br /&gt;
&lt;br /&gt;
===Temperature===&lt;br /&gt;
&lt;br /&gt;
===Pressure===&lt;br /&gt;
&lt;br /&gt;
===Reaction Phase===&lt;br /&gt;
&lt;br /&gt;
===Solvent===&lt;br /&gt;
&lt;br /&gt;
===Concentrations===&lt;br /&gt;
&lt;br /&gt;
==Step 3: Determine Materials of Construction==&lt;br /&gt;
&lt;br /&gt;
A preliminary analysis of the materials of construction for the reactor can be conducted after the reaction conditions have been specified.  Particularly important in this analysis are the temperatures and pressures the process will run at.  At extreme conditions, costly alloys may need to be used.  In addition, the designer must ensure that process streams will not react with materials used in process equipment.&lt;br /&gt;
&lt;br /&gt;
==Step 4: Determine Rate-Limiting Step and Critical Sizing Parameters==&lt;br /&gt;
&lt;br /&gt;
The key parameters that determine the extent of reaction must be identified by carrying out an experiment plan with a broad range of conditions.  In general, the rate of reaction is usually limited by the following fundamental processes.  The first three have been discussed in previous sections.  Mixing will be developed in more detail in its own section. &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Intrinsic kinetics:&#039;&#039;&#039; There will usually be one slowest step that governs the overall rate.&lt;br /&gt;
* &#039;&#039;&#039;Mass-transfer rate:&#039;&#039;&#039; In multiphase reactions and processes that use porous heterogeneous catalysis, mass transfer can be particularly important.  Often, careful experimentation will be needed to separate the effects of mass transfer and the rate of reaction to determine which is the rate-limiting step. &lt;br /&gt;
* &#039;&#039;&#039;Heat-transfer rate:&#039;&#039;&#039; The rate of heat addition can become the governing parameter for endothermic reactions.  Heat-transfer devices such as heat exchangers or fired heaters may need to be used.&lt;br /&gt;
* &#039;&#039;&#039;Mixing:&#039;&#039;&#039; The time taken to mix the reagents can be the limiting step for very fast reactions.&lt;br /&gt;
&lt;br /&gt;
Once rate data have been collected, the designer can fit a suitable model of reaction kinetics.  Next, a critical sizing parameter can be specified for the reactor.  This will usually be one of the parameters given in Figure 1.  &lt;br /&gt;
&lt;br /&gt;
:: [[File:Sizing_Parameters.PNG]]&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;i&amp;gt;Figure 1&amp;lt;/i&amp;gt;. Reactor Sizing Parameters [1]&lt;br /&gt;
&lt;br /&gt;
==Step 5: Preliminary Sizing, Layout, and Costing of Reactor==&lt;br /&gt;
&lt;br /&gt;
The designer can estimate the reactor and catalyst volume from the sizing parameter.  This calculation will yield a value for the active reacting volume necessary.  Clearly, the actual reactor will need additional space.  The geometry of the reactor will depend on the desired flow pattern and mixing requirements [1].  The cost of most reactors can be estimated by determining the cost of a pressure vessel with the same dimensions and adding in the cost of the internals [1].&lt;br /&gt;
&lt;br /&gt;
==Step 6: Estimate Reactor Performance==&lt;br /&gt;
&lt;br /&gt;
At this point in the design process, it is important to verify that the proposed reactor will achieve the target conversions and selectivities.  A combination of experimental methods, such as pilot plants, and computer simulations can be used to predict the full-scale reactor performance.&lt;br /&gt;
&lt;br /&gt;
==Step 7: Optimize the Design==&lt;br /&gt;
&lt;br /&gt;
The reactor is typically a relatively small fraction of the total capital cost [1], so minimal time should be devoted to optimization to reduce the reactor cost.  However, if the target conversion, yields, and selectivities are not met, the process economics could be significantly impacted.  Therefore, steps 2 to 6 should be repeated at least until the minimum specifications are met [1].&lt;br /&gt;
&lt;br /&gt;
=Mixing in Industrial Reactors=&lt;br /&gt;
&lt;br /&gt;
Mixing plays an important role in many processing stages, including reactor performance.  It is critical to select the appropriate method of mixing in order to ensure the process produces the desired process yields, product purity, and cost effectiveness.  &lt;br /&gt;
&lt;br /&gt;
Correlations such as the Reynolds number can be used to determine the extent of mixing and correlate power consumption and heat transfer to the reactor shell [2].  In some cases, simple correlations may not be adequate:&lt;br /&gt;
* If dead zones cannot be tolerated for reasons of product purity, safety, 	etc.&lt;br /&gt;
* If reactor internals are complex&lt;br /&gt;
* If reaction selectivity is very sensitive to mixing&lt;br /&gt;
In these cases, it is usually necessary to carry out a more sophisticated analysis of mixing:&lt;br /&gt;
* Use computational fluid dynamics to model the reactor &lt;br /&gt;
* Use physical modeling (“cold flow”) experiments&lt;br /&gt;
* Use tomography methods to look at performance of real reactor&lt;br /&gt;
&lt;br /&gt;
==Gas Mixing==&lt;br /&gt;
Gases mix easily because of their low viscosities.  The mixing given by turbulent flow in a length of pipe is usually sufficient for most purposes [1].  Orifices, vanes, and baffles can be used to increase turbulence.  &lt;br /&gt;
&lt;br /&gt;
==Liquid Mixing==&lt;br /&gt;
*&#039;&#039;&#039;Inline Mixing&#039;&#039;&#039; Inline mixers can be used for the continuous mixing of low-viscosity fluids.  One inexpensive method involves the use of static devices that promote turbulent mixing in pipelines.  Some typical designs are shown in Figures 2(a), (b), and (c).&lt;br /&gt;
&lt;br /&gt;
::[[File:Static_Mixers.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 2.&#039;&#039; Inline mixers: (a) tee; (b) injection; (c) annular [1]&lt;br /&gt;
&lt;br /&gt;
:: When mixing low viscosity fluids (&amp;lt;50 mNs/m&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) with similar densities and flow rates, a simple mixing tee, Figure 2(a), followed by a length of pipe equal to 10 to 20 pipe diameters, is suitable [1].&lt;br /&gt;
:: When one flow is much lower than the other, an injection mixer, Figure 2(b&amp;amp;c), should be used.  A satisfactory blend will be achieved in about 80 pipe diameters [1].  Baffles or other flow restrictions can be used to reduce the mixing length required.  These mixers work by introducing one fluid into the flowing stream of the other through a concentric pipe or an annular array of jets [1].&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;Stirred Tanks&#039;&#039;&#039;  Stirred tanks were discussed in the [[#Ideal Reactors|Ideal Reactors]] section.  Mixing is conducted by an impeller mounted on a shaft driven by a motor.  The reactor usually contains baffles or other internals to induce turbulence and prevent the contents from swirling and creating a vortex.  Typically, baffles are 1/10 of diameter and located 1/20 of diameter from wall [2].  A typical arrangement of agitator and baffles in a stirred tank, and the flow pattern generated, is shown in Figure 3.  Mixing occurs through the bulk flow of the liquid and by the motion of the turbulent eddies created by the agitator.  Bulk flow is the predominant mixing mechanism required for the blending of miscible liquids and for solids suspension. Turbulent mixing is important in operations involving mass and heat transfer, which can be considered as shear-controlled processes [1].  &lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Arrangements.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 3.&#039;&#039; Agitator arrangements and flow patterns [1]&lt;br /&gt;
&lt;br /&gt;
:At high Reynolds numbers (low viscosity), one of the three basic types of impeller shown in Figure 4 should be used.  For processes controlled by turbulent mixing, the flat-bladed (Rushton) turbines are appropriate.  For bulk mixing, the propeller and pitched-bladed turbines are appropriate [1]. &lt;br /&gt;
&lt;br /&gt;
::[[File:Impeller_Types.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 4.&#039;&#039; Basic impeller types [1]&lt;br /&gt;
&lt;br /&gt;
:For more viscous fluids, paddle, anchor, and helical ribbon agitators (Figures 5(a), (b), and (c)), are used [1].  The selection chart given in Figure 6 can be used to make a preliminary selection of the agitator type, based on the liquid viscosity and tank volume [1].&lt;br /&gt;
&lt;br /&gt;
::[[File:Low_Speed_Agitators.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 5.&#039;&#039; Low-speed agitators [1]&lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Selection_Guide.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 6.&#039;&#039; Agitator selection guide [1]&lt;br /&gt;
&lt;br /&gt;
==Gas-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Gases can be mixed into liquids using the inline mixing or stirred tank methods discussed previously.  A special type of gas injector, called a sparger (shown in Figure 7) can also be used.  This is a long injection tube with multiple holes drilled in it.  &lt;br /&gt;
&lt;br /&gt;
[[File:Gas_Sparger.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 7.&#039;&#039; Gas sparger [1]&lt;br /&gt;
&lt;br /&gt;
A small flow of liquid can be dispersed into a gas stream using a spray nozzle (Figure 8).&lt;br /&gt;
&lt;br /&gt;
[[File:Liquid_Injection.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 8.&#039;&#039; Liquid injection into gas [1]&lt;br /&gt;
&lt;br /&gt;
==Solid-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Solids are usually added to a liquid in a stirred tank at atmospheric pressure.  In order to allow more accurate control of dissolved solid concentration, mixing of solids and liquids is often carried out as a batch operation [1].&lt;br /&gt;
&lt;br /&gt;
=Types of Reactors=&lt;br /&gt;
&lt;br /&gt;
Most reactors used in industry approximate the ideal batch reactor, PFR, or CSTR.  In fact, real reactors can be modeled as networks or combinations of multiple plug-flow and stirred-tank reactors [1]. Examples of real reactors that approximate the flow pattern of ideal reactors are shown in Figure 10.  These reactors will be discussed in more detail in the following sections.&lt;br /&gt;
&lt;br /&gt;
[[File:Types_of_Reactors.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 10.&#039;&#039; Ideal reactors and some real reactors that approximate the same flow pattern [1]&lt;br /&gt;
&lt;br /&gt;
==Vapor-Liquid Reactors==&lt;br /&gt;
&lt;br /&gt;
Vapor-liquid reactions are important in many chemical processes.  For example, oxygenation and hydrogenation reactions are usually carried out with the organic component in the liquid phase [1].  A summary of common goals for vapor-liquid reactors and the reactors used to achieve those goals is shown in Table 1.&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Goal !! Types of Vapor-Liquid Reactors !! Examples&lt;br /&gt;
|-&lt;br /&gt;
| Maintain low concentration of gas component in liquid || &lt;br /&gt;
* Sparged stirred tank reactor&lt;br /&gt;
* Sparged tubular reactor&lt;br /&gt;
 || &lt;br /&gt;
* Liquid phase oxidations using air&lt;br /&gt;
* Fermenters&lt;br /&gt;
|-&lt;br /&gt;
| Contact gas and liquid over catalyst || &lt;br /&gt;
* Trickle bed reactor &lt;br /&gt;
*Slurry phase reactor &lt;br /&gt;
|| &lt;br /&gt;
* Catalytic hydrogenation&lt;br /&gt;
|-&lt;br /&gt;
| React a component out of the gas phase to high conversion || &lt;br /&gt;
* Multi-stage V/L contactor (reactive absorption column) &lt;br /&gt;
* Venturi scrubber &lt;br /&gt;
|| &lt;br /&gt;
*Chemisorption &lt;br /&gt;
*Acid gas scrubbing&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 1.&#039;&#039; Summary of Vapor-Liquid Reactors [2]&lt;br /&gt;
&lt;br /&gt;
If the residence time requirements are short enough, vapor-liquid contacting columns are preferred because of the high area for mass transfer.  Trayed or packed columns can be used to contact vapor and liquid for reaction.  The column packing may be catalytically active or could be inert packing [2].  Please see the [[separation processes]] section of this website for more information on the types of processes used for the third goal listed.  &lt;br /&gt;
&lt;br /&gt;
Stirred tanks or tubular reactors are used when long residence time is needed for the liquid phase [1].  These types of reactors and more will be discussed in the [[#Catalytic Processes|catalytic processes]] section of this page.&lt;br /&gt;
&lt;br /&gt;
The reactors listed under the first goal in the table are unique to vapor-liquid processes.  The basic concept of a sparger was discussed in the [[#Mixing in Industrial Reactors|mixing]] section.  Sparged reactors are shown in Figure 11. &lt;br /&gt;
&lt;br /&gt;
[[File:Sparged_Reactors.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 11.&#039;&#039; Sparged stirred tank and tubular reactors [2]&lt;br /&gt;
&lt;br /&gt;
The gas is bubbled up through the liquid in a sparged reactor.  For smaller bubbles, a porous pipe diffuser can be used instead [2].  The designer must allow some disengaging space at the top of the reactor, or entrainment will be excessive.  If the gas flow rate is large then the gas flow can be used as the primary means of agitation.  Perry&#039;s Handbook suggests the following air rates (ft&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/ft&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;min) for agitating an open tank full of water at 1 atm:&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Degree of agitation !! Liquid depth 9 ft !! Liquid depth 3 ft&lt;br /&gt;
|-&lt;br /&gt;
| Moderate || 0.65 || 1.3&lt;br /&gt;
|-&lt;br /&gt;
| Complete || 1.3 || 2.6&lt;br /&gt;
|-&lt;br /&gt;
| Violent || 3.1 || 6.2&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 2.&#039;&#039; Summary of suggested flow rates for gas flow as agitation [2]&lt;br /&gt;
&lt;br /&gt;
==Catalytic Processes==&lt;br /&gt;
A catalyst increases the rate of a chemical reaction without itself becoming permanently changed by the reaction.  Catalysts allow reactions to be run in smaller reactors and operated at lower temperatures and improve selectivity.  Therefore, catalysts will almost always lead to a more economically attractive process than a noncatalytic route.  [1]  Catalysts are normally selected based on performance rather than price since increases catalysts selectivity will almost always quickly pay back any price premium expected by the manufacturer.  It is important to test the catalysts under conditions that are representative of process conditions [1].  &lt;br /&gt;
&lt;br /&gt;
Catalyst activity often deteriorates over time [2].  Common causes of deactivation include:&lt;br /&gt;
* Poisoning by components in feed (e.g. base destroys acid catalyst)&lt;br /&gt;
* Blockage of pores or active sites by byproducts such as coke&lt;br /&gt;
* Thermal or hydrothermal modification of catalyst structure&lt;br /&gt;
Slow activity loss can be compensated by:&lt;br /&gt;
* Putting in more catalyst (lower space velocity)&lt;br /&gt;
* Slowly raising reactor temperature&lt;br /&gt;
Rapid activity loss may require moving the catalyst to a continuous regeneration zone [2].&lt;br /&gt;
&lt;br /&gt;
Catalytic reactions can be either homogenous (catalyst is in the same phase as the reagents) or heterogeneous (catalyst is not in the same phase as the reagents).&lt;br /&gt;
&lt;br /&gt;
===Homogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
:Homogeneous catalysis can be conducted in the basic batch reactors, PFRs, or CSTRs that have already been discussed.  However, when the catalyst is in the same phase as the reagent, recovering this catalyst after the reaction can be difficult and expensive, particularly if the catalyst is sensitive to high temperatures [2].  Providing adequate interfacial area is also a challenge of homogeneous catalysis.  A reaction often only occurs at the interface or in the boundary layer between the catalyst and the reagents.  Increased mixing can increase the rate and selectivity of the reaction, but this can require detailed and expensive mixing equipment [2].  For these reasons, reactions requiring homogenous catalysts are not usually used unless an easy separation can be found to recover the catalyst.&lt;br /&gt;
&lt;br /&gt;
===Heterogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
: Catalyst recovery in processes involving heterogeneous catalysis is much easier.  However, the rate of reaction is limited by the available inter-phase surface area and the mass transfer of reagents and products to and from the interface [2].  Therefore, reactors for these processes are design to reduce these limitations.&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Fixed Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: In a fixed-bed reactor, the reagent flows over a stationary bed of packed catalyst [1].  This is the most common type of reactor used for heterogeneous catalysis as long as the catalyst does not require continuous regeneration and the reaction mixture does not require high agitation [2].  The amount of catalyst necessary can be found using the following equations:&lt;br /&gt;
&lt;br /&gt;
::[[File:Catalyst_Calcs.png]]&lt;br /&gt;
&lt;br /&gt;
:: The ratio of the bed height (L) to the diameter (D) determines the distribution of reagents and the pressure drop across the bed.  An increased L/D ratio creates a more even distribution and less change of localized deactivation or &amp;quot;hot spots.&amp;quot;  However, increasing the L/D ratio increases the pressure drop, requiring higher compression and pumping costs [2].  The Ergun equation can be used to calculate the pressure drop in packed beds. &lt;br /&gt;
&lt;br /&gt;
:: [[File:Ergun.png]]&lt;br /&gt;
&lt;br /&gt;
::Where V is the superficial velocity (volume flowrate divided by cross-sectional area), μ is the viscosity, D&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; is the particle diameter and ε is the porosity of the packed bed [2]. Given these trade-offs, it may make sense to split the catalyst over several beds [2].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Radial Flow Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: When there is very little pressure drop available, the L/D ratio must be much less that one [2].  A common solution to this is to use a radial flow reactor with the catalyst contained in an annulus between vertical perforated or slotted screens.  The fluid flows radially through the bed and the direction of flow can be either inwards or outwards [1].  An example of a radial flow reactor is shown in Figure 12.&lt;br /&gt;
&lt;br /&gt;
:: [[File:Radial_flow.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 12.&#039;&#039; Radial flow reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Moving Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: A moving bed reactor is similar to a radial flow reactor, but the catalyst is moved through the annular space [2].&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Fluidized Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: If the fluid flow is up through the catalyst bed then the bed can become fluidized if the pressure drop is high enough to support the weight of the catalyst.  Fluidized beds usually have a lower pressure drop than down flow at high flow rates [2].  In addition, fluidizing the catalyst eases the transition from one reaction zone to another.&lt;br /&gt;
&lt;br /&gt;
:: The catalyst bed is fluidized using a distributor to inject fluidization fluid, which is not necessarily the feed.  Fluidization occurs when the bed pressure drop balances the weight of the particles, or &lt;br /&gt;
&lt;br /&gt;
::[[File:Fluid_Eqn.png]]&lt;br /&gt;
&lt;br /&gt;
::Where ∆P is the pressure drop, ρ&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; and ρ&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; are the densities of the particle and gas respectively, ε&amp;lt;sub&amp;gt;m&amp;lt;/sub&amp;gt; is the porosity at minimum fluidization, and L is the height of the bed [2].  Fluidization can only be used with relatively small sized particles (&amp;lt;300 micrometers with gases).  The solid material must be strong enough to withstand attrition in the fluidized bed and cheap enough to allow for make-up to replace attrition losses [1].  A fluidized-bed reactors must also make allowance for separating the fluid-phase product from entrained solids so that solids are not carried out of the reactor [1].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Trickle Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Trickle bed reactors are used when all three phases are involved in the reaction.  They must ensure good distribution of both the vapor and the liquid, without channeling of either phase [2].  In a trickle bed reactor, the liquid flows down over the surface of a stationary bed of solids.  The gas phase usually also flows downwards with the liquid, but countercurrent flow is feasible as long as flooding conditions are avoided [1].  This requires a more sophisticated distributor like those used for packed distillation columns [2].  An example of a trickle bed reactor is shown in Figure 13.&lt;br /&gt;
&lt;br /&gt;
::[[File:trickle_bed.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 13.&#039;&#039; Example of trickle bed reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Slurry Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
::Liquid is mixed up in the liquid in slurry phase reactions.  Slurry reactors are prone to attrition of the solids, caused by pumping or agitation of the liquid [1].  Slurry-phase operation is usually not preferred for processes that use heterogeneous catalysts because the catalyst tends to become eroded and can be difficult to recover from the liquid [1].&lt;br /&gt;
&lt;br /&gt;
==Bioreactors==&lt;br /&gt;
&lt;br /&gt;
Bioreactors have requirements that add complexity compared to simpler chemical reactors.  These reactions often are three-phase (cells, water, and air), need sterile operation, and require heat removal [2].  However, biological systems have the following advantages:&lt;br /&gt;
* Some products can only be made by biological routes&lt;br /&gt;
* Large molecules such as proteins can be made&lt;br /&gt;
* Selectivity for desired product can be very high&lt;br /&gt;
* Products are often very valuable &lt;br /&gt;
&lt;br /&gt;
===Enzyme Catalysis===&lt;br /&gt;
&lt;br /&gt;
Enzymes are the biological equivalent of catalysts.  They can sometimes be isolated from host cells. They are usually proteins and, therefore, most are thermally unstable above ~60 degrees Celsius and active only in water at a restricted pH [2].  Enzymes can sometimes be absorbed onto a solid or encapsulated in a gel without losing their structure.  In this case, they can be used in a conventional fixed bed reactor.  Typically, homogenous reactions are carried out in batch reactors.&lt;br /&gt;
&lt;br /&gt;
===Cell Growth===&lt;br /&gt;
&lt;br /&gt;
Cell growth goes through several phases during a batch, shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
[[File:Cell_Growth_Rate.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 15.&#039;&#039; Cell growth and product formation in batch fermentation [1]&lt;br /&gt;
&lt;br /&gt;
* I: Innoculation: slow growth while cells adapt to new environment&lt;br /&gt;
* II: Exponential growth: growth rate proportional to cell mass&lt;br /&gt;
* III: Slow growth as substrate or other factors begin to limit rate&lt;br /&gt;
* IV: Stationary phase: cell growth rate and death rate are equal&lt;br /&gt;
* V: Decline phase: cells die or sporulate, often caused by product build-up&lt;br /&gt;
&lt;br /&gt;
Intracellular product accumulation is slow at first because there are a limited number of cells [2].  However, it is important to note that product accumulation continue even after the live cell count falls, since dead cells still contain product.&lt;br /&gt;
&lt;br /&gt;
The growth rate of cells can be limited by factors such as:&lt;br /&gt;
* The availability of the primary subtrate&lt;br /&gt;
** Typically glucose, fructose, sucrose, or other carbohydrate&lt;br /&gt;
* The availability of other metabolites&lt;br /&gt;
** Vitamins, minerals, hormones, or enzyme cofactors&lt;br /&gt;
* The availability of oxygen&lt;br /&gt;
* Mass transfer properties of the reaction system&lt;br /&gt;
* Inhibition or poisoning by products or byproducts&lt;br /&gt;
* High temperature caused by inadequate heat removal&lt;br /&gt;
&lt;br /&gt;
All of these factors are exacerbated at higher cell concentrations [2].  Clearly, biological reactions must be carefully controlled.  An addition complication in dealing with biological reactions is that the product formation is often not closedly tied to the rate of consumption of the substrate [2].  This is because of the fact that the product may be made by the cells at a relatively low concentration and the fact that some cell metabolic processes may not be involved in formation of the desired product [2].&lt;br /&gt;
&lt;br /&gt;
===Types of Bioreactors===&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Stirred Tank Fermenter&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: The stirred tank fermenter is the most common reactor used for biological reactions [2] and is similar to the stirred tanks discussed previously.  It can be used in both batch and continuous mode.  Figure 14 shows a stirred tank fermenter.&lt;br /&gt;
&lt;br /&gt;
::[[File:Fermentation.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 14.&#039;&#039; Fermentation reactor [1]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Shaftless Bioreactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Shaftless bioreactors are used when the pump shaft seal is considered a non-permissible source of contamination.  These reactors use gas flow to provide agitation of the liquid.  The design requires careful attention to hydraulics [2].  Examples of shaftless bioreactors are shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
::[[File:Shaftless.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 15.&#039;&#039; Examples of shaftless bioreactors [2]&lt;br /&gt;
&lt;br /&gt;
=Heating and Cooling of Reacting Systems=&lt;br /&gt;
&lt;br /&gt;
Exothermic and endothermic reactions will require reactors with heat control systems to prevent operating conditions from falling out of the desired range. Reactor performance is often limited by the ability to add or remove heat.  Insufficient heat removal can cause runaway reactions, particularly dangerous situations in chemical processing [4].  Before considering the design of a heating or cooling system to couple with a reactor, a few important questions should be asked[1].&lt;br /&gt;
&lt;br /&gt;
1. Can the reaction be carried out adiabatically?&lt;br /&gt;
&lt;br /&gt;
2. Can the feeds provide the required heating or cooling? Staged addition of feed can help alleviate the cost of adding a heat exchange network or heat transfer jacket.  Also consider adding an inert diluent or hot/cold shots [3].&lt;br /&gt;
&lt;br /&gt;
3. Would it be more cost effective to carry out the heat exchange outside of the reactor?&lt;br /&gt;
&lt;br /&gt;
4. Would it be more effective to carry out the reaction inside of a heat transfer device? If a reaction requires only a small volume or small quantities of catalyst, it may be possible to utilize a heat exchanger as a temperature controller and as a reaction location.&lt;br /&gt;
&lt;br /&gt;
5. Does the proposed design allow the process to be started up and shut down smoothly?&lt;br /&gt;
&lt;br /&gt;
6. Are there safety concerns with heating or cooling the reactor?&lt;br /&gt;
&lt;br /&gt;
After considering these aspects of the design, commercial design software such as HYSYS or UniSim can be utilized to estimate heating/cooling requirements. Once this is done, design of the heat exchange system can begin, with different reactor types and reactions requiring different design approaches[1].&lt;br /&gt;
&lt;br /&gt;
==Stirred Tank Reactors==&lt;br /&gt;
&lt;br /&gt;
Heating and cooling of a stirred tank reactor is done to ensure a uniform reaction temperature, so that there do not exist hot or cold spots within the reactor that can negatively affect selectivity[1]. &lt;br /&gt;
&lt;br /&gt;
For indirect heat transfer, there are three main alternatives: a heat transfer jacket, an internal coil, and an external heat transfer circuit. A jacket is utilized as long as there is sufficient heat transfer area for the heat exchange to take place. If this is not the case, coils are used, although the inclusion of a heating coil will significantly increase reactor volume and utility requirements, leading to a large increase in price for the reactor. External circuits contain a heat exchanger that will heat or cool the product stream as required and recycle this material to the reactor to control temperature. External circuits are useful because they can be designed independently of the reactor; sizing the required pumps and heat exchangers will not fundamentally change the activity of the reactor. For any of these choices, it should be ensure that no corrosion of the involved piping will occur, as utility streams bleeding into the reactor can have a very negative impact on the selectivity of the reaction and on the operation of the reactor on a whole[1].&lt;br /&gt;
&lt;br /&gt;
Some direct heat transfer alternatives also exist, as long the reaction in question is compatible with the addition of extra water. Steam can be pumped into the reactor to maintain temperature, which will eliminate the need to design heat transfer surfaces. However, steam injected into the system cannot be recovered, so this will lead to an increase in annual utility costs. Additionally, vapor will be produced if it did not exist previously, so reactors will need to be redesigned to accommodate a vapor removal system[1]. &lt;br /&gt;
&lt;br /&gt;
==Catalytic Reactors==&lt;br /&gt;
&lt;br /&gt;
===Slurry Reactors===&lt;br /&gt;
&lt;br /&gt;
Since slurry reactors already use a mix of solid catalyst and liquid reactants, any of the methods described in the Stirred Tank Reactors section can be applied to slurry reactors. It is not recommended to use internal coils in such a design, as reactor slurry will often corrode heat exchange material very easily[1].&lt;br /&gt;
&lt;br /&gt;
===Fixed-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Indirect heat transfer is not often utilized to control the temperature in fixed-bed reactors, as it hard to maintain uniform temperature across the radial section of the catalyst bed. In cases where temperature control is required, the reactor will be split into smaller sections. After each bed, there will be an heat transfer stage, where the product stream is heated or cooled as necessary and returned to the next catalytic segment[1]. &lt;br /&gt;
&lt;br /&gt;
===Fluidized-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Fluidized bed reactors have high heat-transfer coefficients, so indirect heat transfer is highly effective. The heat capacity of the solid catalyst particles can be used as a heat transfer medium themselves; heated catalyst contains a reaction location and the necessary heat to maintain the required temperature. Deactivated catalyst is heated during reactivation and recycle[1].&lt;br /&gt;
&lt;br /&gt;
==Heat Exchangers as Reactors==&lt;br /&gt;
&lt;br /&gt;
It is sometimes necessary to design a reactor as a heat transfer device, like when it is necessary to operate a reactor isothermally and there is a large heat of reaction. Some common situations include high-temperature endothermic reactions that quickly quench without continuous heat input and low-temperature exothermic reactions that must be kept at constant temperature to maintain selectivity. The most common heat transfer equipment used for reactions are shell and tube heat exchangers and fired heaters[1].&lt;br /&gt;
&lt;br /&gt;
===Homogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
If the reaction does not required a catalyst, than the heat transfer design is the same as a conventional heat transfer device, with some important changes in the thermal design. The usual heat exchanger equations will not apply to the design of a heat exchanger reactor due to the nonlinear behavior of the reaction rate with regards to temperature. In these cases, the usual practice of conservative temperature estimations will not aid in heat transfer design, as greater detail will be required to ensure the proper operation of the reactor. Detailed kinetic models should be developed before designing the internals of the heat transfer device[1].&lt;br /&gt;
&lt;br /&gt;
===Heterogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
The problems of designing for homogenous reactions still hold for heterogenous ones, with the added complication of solid catalyst beds. Catalyst can be loaded into the tubes of a shell and tube exchanger if the exchanger is mounted vertically and a suitable retaining screen is included at either end of the design. In this instance, hot catalyst can be reliably recycled and heat treated to reactivate the catalysts and reduce the presence of reactor hot spots. High-temperature endothermic reactions will be even more difficult to design for, as their heat requirements often exceed the amount provided by a heated catalyst. In these cases, a &amp;quot;tube in tube&amp;quot; design is utilized, where feed and catalyst are heated simultaneously by an external fired heater. This can be done as long as thermal expansion does not cause damage to the tubes, or else significant catalyst poisoning can occur. The same concerns as detailed in homogenous reactions will still apply for any design utilized for heterogenous ones, so it is again recommended to develop a detailed kinetic model before determining the amount of heat transfer required to maintain proper selectivity[1].&lt;br /&gt;
&lt;br /&gt;
=Safety Considerations in Reactor Design=&lt;br /&gt;
&lt;br /&gt;
Reactors require much attention to safety details in the design process due to the hazards they impose.  They are often the highest temperature point in the process, heat of reaction may be released, and residence times can be long leading to a large inventory of chemicals.  Guidelines exist for inherently safer design principles which seek to remove or reduce process hazards, limiting the impact of unforeseen events.  These design methods should be applied throughout the design process as part of good engineering practice; they cannot be retroactively added by a process safety specialist.  Some examples are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(table 15.16 in Towler)&lt;br /&gt;
&lt;br /&gt;
Exothermic reactions require special consideration due to their potential to runaway (temperature rises from heat of reaction being released, increasing reaction rate, releasing more heat, and so on).  The reactor must be designed such that temperature can be precisely controlled and the reaction shut down if temperature control is lost.  The use of solvents or inert species also allows for temperature control by adjusting heat capacity flow rate relative to rate of heat release from the reaction.  An additional safety feature would allow the reactor to be flooded with cold solvent or diluent.&lt;br /&gt;
&lt;br /&gt;
If there is a cooling system it should be designed to return the process to desired temperature if the maximum temperature is reached.  &lt;br /&gt;
&lt;br /&gt;
Venting and relief of reactors is complicated by the potential to keep reacting if containment is lost or material is discharged into the pressure relief system.  The relief system should be designed according to guidelines outlined in the Design Institute for Emergency Relief Systems (DIERS) methodology.  The reactor design team must understand the reaction mechanism and kinetics, including the role of any compounds which may accelerate the reaction.  Details may be found on the AIChE website, [http://www.aiche.org/diers here].&lt;br /&gt;
&lt;br /&gt;
=Capital Cost of Reactors=&lt;br /&gt;
&lt;br /&gt;
Reactors are classified as pressure vessels, and as such the pressure vessel design methods can be used to estimate wall thickness and thus determine capital cost.  Additional costs come from reactor internals or other equipment.  Jacketed stirred-tank reactors require more in depth analysis than that provided by pressure vessel design.  The wall of the reaction vessel may be in compression due to the jacket.  For preliminary cost estimating a correlation for jacketed stirred tank reactors operating at pressures below 20 bar can be used:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;C_e = a + b S^n&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;C_e&amp;lt;/math&amp;gt; is the purchased equipment cost on a U.S. Gulf Coast Basis, &amp;lt;math&amp;gt;a, b&amp;lt;/math&amp;gt; are cost constants, &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is the size parameter, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the exponent for that type of equipment.  Values for &amp;lt;math&amp;gt;a, b, S, n&amp;lt;/math&amp;gt; are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(Table 7.2 Towler)&lt;br /&gt;
&lt;br /&gt;
=Conclusions=&lt;br /&gt;
&lt;br /&gt;
The conversion of feed to products is the essence of a chemical process and, thus, the reactor is the heart of a chemical plant.  When designing a reactor, an engineer must first collect data about the chemical reaction and then select appropriate reaction conditions, which will help determine suitable materials of construction.  Next, the designer should determine the rate-limiting step and, from this, the critical sizing parameter. Next, preliminary sizing, layout, and costing can be conducted for the reactor.  At this point, simulations and experiments can be conducted to verify that the proposed reactor will meet the desired specifications.  The design is optimized until these targets are met.  Throughout the design process, it is important for the engineer to consider the most appropriate type of reactor to use, any mixing or heat transfer equipment that must be added, and safety considerations.&lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
# Towler, G.P. and Sinnot, R. (2012). &#039;&#039;Chemical Engineering Design: Principles, Practice and Economics of Plant and Process Design.&#039;&#039; Elsevier.&lt;br /&gt;
#Towler, G.P. (2012). &#039;&#039;Chemical Engineering Design&#039;&#039;, PowerPoint presentation.&lt;br /&gt;
#Seider, W.D. (2004). &#039;&#039;Process Design Principles: Synthesis, Analysis, and Evaluation&#039;&#039;, Wiley: New York.&lt;br /&gt;
#Turton, R.T. (2003). &#039;&#039;Analysis, Synthesis, and Design of Chemical Processes&#039;&#039;, Prentice Hall: Upper Saddle River.&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1047</id>
		<title>Reactors</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1047"/>
		<updated>2014-02-10T04:18:53Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* References */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Title: Reactors&lt;br /&gt;
&lt;br /&gt;
Author: Sean Cabaniss, David Park, Maxim Slivinsky and Julianne Wagoner&lt;br /&gt;
&lt;br /&gt;
Steward: Fengqi You&lt;br /&gt;
&lt;br /&gt;
Date Presented: February 4, 2014 &lt;br /&gt;
&lt;br /&gt;
&amp;lt;!-- Table of Contents --&amp;gt;&lt;br /&gt;
__TOC__&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
&lt;br /&gt;
The center of any chemical process is the reactor, where chemical reactions are carried out to transform feeds into products.  Reactor design is a vital step in the overall design of a process.  It is important to ensure that the equipment specified will be capable of achieving the desired yields and selectivity. &lt;br /&gt;
&lt;br /&gt;
==Ideal Reactors==&lt;br /&gt;
&lt;br /&gt;
===Batch Reactors===&lt;br /&gt;
&lt;br /&gt;
In a batch reactor, the reagents are added together and allowed to react for a given amount of time.  The compositions change with time, but there is no flow through the process.  Additional reagents may be added as the reaction proceeds, and changes in temperature may also be made.  Products are removed from the reactor after the reaction has proceeded to completion.&lt;br /&gt;
&lt;br /&gt;
Batch processes are suitable for small-scale production and for processes where several different products or grades are to be produced in the same equipment.  When production volumes are relatively small and/or the chemistry is relatively complex, batch processing provides an important means of quality control.&lt;br /&gt;
&lt;br /&gt;
===Plug Flow Reactor (PFR)===&lt;br /&gt;
&lt;br /&gt;
A PFR with tubular geometry has perfect radial mixing but no axial mixing.  All materials hav the same residence time, τ, and experience the same temperature and concentration profiles along the reactor.  Equation for PFR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;dM = \Re dV&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where M = molar flow rate, dV is the incremental volume, and &amp;lt;math&amp;gt;\Re&amp;lt;/math&amp;gt; is the rate of reaction per unit volume.&lt;br /&gt;
&lt;br /&gt;
This equation can be integrated along the length of the reactor to yield relationships between reactor resident time and concentration or conversion.&lt;br /&gt;
&lt;br /&gt;
===Continuously Stirred Tank Reactor (CSTR)===&lt;br /&gt;
&lt;br /&gt;
The stirred tank reactor models a large scale conventional laboratory flask and can be considered to be the basic chemical reactor.  In a CSTR, shown in Figure 1, there is no spatial variation- the entire vessel contents are at the same temperature, pressure, and concentration.  Therefore the fluid leaving the reactor is at the same temperature and concentration as the fluid inside the reactor.&lt;br /&gt;
&lt;br /&gt;
The material balance across the CSTR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;M_\text{in}-M_\text{out}= \Re V&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Some of the material the enters the reactor can leave immediately, while some leaves much later, so there is a broad distribution in residence time as shown in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:CSTR.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Continuously Stirred Tank Reactor [1]&lt;br /&gt;
&lt;br /&gt;
More information on stirred tanks can be found in the [[#Mixing in Industrial Reactors|Mixing]] section.&lt;br /&gt;
&lt;br /&gt;
=General Reactor Design=&lt;br /&gt;
&lt;br /&gt;
The design of the reactor should not be carried out separately from the overall process design due to the significant impact on capital and operating costs on other parts of the process[1].  &lt;br /&gt;
&lt;br /&gt;
==Step 1: Collect Required Data==&lt;br /&gt;
&lt;br /&gt;
Out of all process equipment, reactor design requires the most process input data: reaction enthalpies, phase-equilibrium constants, heat and mass transfer coefficients, as well as reaction rate constants.  All of the aforementioned parameters can be estimated using simulation models or literature correlations except for reaction rate constant constants, which need to be determined experimentally [1].&lt;br /&gt;
&lt;br /&gt;
===Enthalpy of Reaction===&lt;br /&gt;
&lt;br /&gt;
: The heat given out in a chemical reaction is based on the enthalpies of the component chemical reactions, which are given for standard temperature and pressure (1 atm, 25 C).  Values for standard heats of reaction can be found tabulated in literature, or can be calculated from heats of formation or combustion.  Care must be taken to quote the basis for the heat of reaction and the states of reactants and products.&lt;br /&gt;
&lt;br /&gt;
: The following equation is used to convert enthalpies from standard conditions to the process conditions:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,P,T} = \Delta H_\text{r}^{\circ} + &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: If the effect from pressure is not significant and only Temperature needs to be accounted for, the following equation should be used:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,T} = \Delta H_\text{r}^{\circ} + \Delta H_\text{prod.} + \Delta H_\text{react.}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Equilibrium Constant and Gibbs Free Energy===&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta G = -\mathbf{R} T \ln K &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: Where &amp;lt;math&amp;gt;\Delta G&amp;lt;/math&amp;gt; is the change in Gibbs free energy from the reaction at temperature &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;\mathbf{R}&amp;lt;/math&amp;gt; is the ideal gas constant, and &amp;lt;math&amp;gt;K&amp;lt;/math&amp;gt; is the reaction equilibrium constant, given by:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;K = \prod_{i=1}^n {a_i}^{\alpha_i} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: where &amp;lt;math&amp;gt;a_i&amp;lt;/math&amp;gt; is the activity of component i, &amp;lt;math&amp;gt;\alpha_i&amp;lt;/math&amp;gt; is the stoichiometric coefficient of component &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt;, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the total number of components.&lt;br /&gt;
&lt;br /&gt;
: Equilibrium constants can be found in the literature and are useful for evaluating the rates of forward and reverse reactions.  Care must be taken to the experimental design used for the literature equilibrium constants to make sure they are consistent with the conditions of the actual process reactor.  For more complicated reactions consisting of several sequential or simultaneous reactions, the equilibrium is found by minimizing the Gibbs free energy [1].  Commercial process simulation programs use the Gibbs reactor model in this way.  &lt;br /&gt;
&lt;br /&gt;
===Reaction Mechanisms, Rate Equations, and Rate Constants===&lt;br /&gt;
&lt;br /&gt;
: In most cases the main process reaction rate equations and rate constants cannot be predicted from first principles and must be approximated [1].  This is due to the following:&lt;br /&gt;
&lt;br /&gt;
* Use of heterogeneous catalysis or enzymes which lead to Langmuir-Hinshelwood-Hougen-Watson or Michaelis-Menten kinetics&lt;br /&gt;
* Mass transfer between vapor and liquid or two liquid phases&lt;br /&gt;
* Multistep mechanisms whose rate expressions do not follow overall reaction stoichiometry&lt;br /&gt;
* Competing side reactions&lt;br /&gt;
&lt;br /&gt;
: As a result the main process reaction is usually approximated as first- or second-order over a narrow range of process conditions (temperature, pressure, species concentrations) to estimate the residence time required for a target conversion.  Rate equations are always a fit for experimental data and should thus be used for interpolation within the data.  It is important to collect more data when extrapolating, especially for exothermic reactions which have the potential for runaway [1].&lt;br /&gt;
&lt;br /&gt;
===Heat and Mass Transfer Properties===&lt;br /&gt;
&lt;br /&gt;
====Heat Transfer====&lt;br /&gt;
:: The design of internal heating or cooling devices can be found in [https://processdesign.mccormick.northwestern.edu/index.php/Heat_Transfer_Equipment Heat Transfer Equipment].  Correlations for tube-side heat-transfer coefficients for catalyst-packed tubes of a heat exchanger are given below:&lt;br /&gt;
&lt;br /&gt;
:: For heating: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = .813 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.9} e^{-6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for cooling: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = 3.50 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.7} e^{-4.6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt; is the tube-side heat transfer coefficient for a packed tube, &amp;lt;math&amp;gt;d_t&amp;lt;/math&amp;gt; is the tube diameter, &amp;lt;math&amp;gt;\lambda_f&amp;lt;/math&amp;gt; is the fluid thermal conductivity, &amp;lt;math&amp;gt;\rho_f&amp;lt;/math&amp;gt; is the fluid density, &amp;lt;math&amp;gt;u&amp;lt;/math&amp;gt; is the superficial velocity, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the effective particle diameter, and &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the fluid viscosity.&lt;br /&gt;
&lt;br /&gt;
====Diffusion Coefficients====&lt;br /&gt;
&lt;br /&gt;
:: Diffusion coefficients are necessary when mass transfer can limit the rate of reaction, such as in catalytic reactions or reactions involving mass transfer processes such as gas absorption, distillation, and liquid-liquid extraction.  &lt;br /&gt;
&lt;br /&gt;
:: The diffusivity for gases can be estimated by the following correlation (Fuller, Schettler, Giddings):&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_v = \frac{1.013 \times 10^{-7} T^{1.75} {\left ( \frac{1}{M_a} + \frac{1}{M_b} \right )}^{1/2} }{P {\left [ {\left ( \sum_{a} v_i  \right )}^{1/3}  + {\left ( \sum_{b} v_i  \right )}^{1/3}  \right ]}^2  } &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_v&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is temperature, &amp;lt;math&amp;gt;M_a , M_b&amp;lt;/math&amp;gt; are the molecular masses of components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;P&amp;lt;/math&amp;gt; is the total pressure, and &amp;lt;math&amp;gt;\sum_{a} v_i , \sum_{b} v_i&amp;lt;/math&amp;gt; are the summation of special diffusion volume coefficients for components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, given in the table below:&lt;br /&gt;
&lt;br /&gt;
:: (volume coefficient table from towler)&lt;br /&gt;
&lt;br /&gt;
:: Wilke and Chang developed a correlation for estimating the diffusivity of components in the liquid phase:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_L =  \frac{1.173 \times 10^{-13} {(\phi M_w)}^{1/2} T}{\mu V_m^{.6}} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid diffusivity, &amp;lt;math&amp;gt;\phi&amp;lt;/math&amp;gt; is an association factor for the solvent, &amp;lt;math&amp;gt;M_w&amp;lt;/math&amp;gt; is the molecular mass of the solvent, &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the solvent viscosity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is the temperature, and &amp;lt;math&amp;gt;V_m&amp;lt;/math&amp;gt; is the molar volume of the solute at its boiling point.  This correlation holds for organic compounds in water but not for water in organic solvents.&lt;br /&gt;
&lt;br /&gt;
====Mass Transfer====&lt;br /&gt;
&lt;br /&gt;
:: For multiphase reactors it is necessary to estimate the mass transfer coefficient.  &lt;br /&gt;
&lt;br /&gt;
:: The equation of Gupta and Thodos predicts the mass transfer coefficient for a packed bed of particles:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac{k d_p}{D} = 2.06 \frac{1}{\epsilon} {Re}^{.425} {Sc}^{.33} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the particle diameter, &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;Re&amp;lt;/math&amp;gt; is the Reynolds number calculated using the superficial velocity through the bed, &amp;lt;math&amp;gt;Sc&amp;lt;/math&amp;gt; is the Schmidt number,  and &amp;lt;math&amp;gt;\epsilon&amp;lt;/math&amp;gt; is the bed void fraction.&lt;br /&gt;
&lt;br /&gt;
:: Mass transfer between vapor and liquid in an agitated vessel can be described by the Van&#039;t Riet equations:&lt;br /&gt;
&lt;br /&gt;
:: For air-water: &amp;lt;math&amp;gt; k_L a = 0.026 {\left ( \frac{P_a}{V_{liq}} \right )}^{.4} Q^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for air-water-electrolyte: &amp;lt;math&amp;gt; k_L a = 0.002 {\left ( \frac{P_a}{V_{liq}} \right )}^{.7} Q^{.2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k_L&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; is the interfacial area per unit volume, &amp;lt;math&amp;gt;Q&amp;lt;/math&amp;gt; is the gas volumetric flow rate, &amp;lt;math&amp;gt;V_{liq}&amp;lt;/math&amp;gt; is the liquid volume, and &amp;lt;math&amp;gt;P_a&amp;lt;/math&amp;gt; is the agitator power input.&lt;br /&gt;
&lt;br /&gt;
:: Fair&#039;s method for calculating the mass transfer coefficient for low viscosity systems is given by:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac {{(k_L a)}_{system}}{{(k_L a)}_{air-water}} = {\left ( \frac{D_{L,system}}{D_{L, air-water}} \right )}^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid phase diffusivity.  &lt;br /&gt;
&lt;br /&gt;
:: Mass transfer correlations for vapor-liquid systems should be used with caution when there are surfactants [1].&lt;br /&gt;
&lt;br /&gt;
==Step 2: Select Reaction Conditions==&lt;br /&gt;
&lt;br /&gt;
===Chemical or Biochemical Reaction===&lt;br /&gt;
&lt;br /&gt;
===Catalyst===&lt;br /&gt;
&lt;br /&gt;
===Temperature===&lt;br /&gt;
&lt;br /&gt;
===Pressure===&lt;br /&gt;
&lt;br /&gt;
===Reaction Phase===&lt;br /&gt;
&lt;br /&gt;
===Solvent===&lt;br /&gt;
&lt;br /&gt;
===Concentrations===&lt;br /&gt;
&lt;br /&gt;
==Step 3: Determine Materials of Construction==&lt;br /&gt;
&lt;br /&gt;
A preliminary analysis of the materials of construction for the reactor can be conducted after the reaction conditions have been specified.  Particularly important in this analysis are the temperatures and pressures the process will run at.  At extreme conditions, costly alloys may need to be used.  In addition, the designer must ensure that process streams will not react with materials used in process equipment.&lt;br /&gt;
&lt;br /&gt;
==Step 4: Determine Rate-Limiting Step and Critical Sizing Parameters==&lt;br /&gt;
&lt;br /&gt;
The key parameters that determine the extent of reaction must be identified by carrying out an experiment plan with a broad range of conditions.  In general, the rate of reaction is usually limited by the following fundamental processes.  The first three have been discussed in previous sections.  Mixing will be developed in more detail in its own section. &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Intrinsic kinetics:&#039;&#039;&#039; There will usually be one slowest step that governs the overall rate.&lt;br /&gt;
* &#039;&#039;&#039;Mass-transfer rate:&#039;&#039;&#039; In multiphase reactions and processes that use porous heterogeneous catalysis, mass transfer can be particularly important.  Often, careful experimentation will be needed to separate the effects of mass transfer and the rate of reaction to determine which is the rate-limiting step. &lt;br /&gt;
* &#039;&#039;&#039;Heat-transfer rate:&#039;&#039;&#039; The rate of heat addition can become the governing parameter for endothermic reactions.  Heat-transfer devices such as heat exchangers or fired heaters may need to be used.&lt;br /&gt;
* &#039;&#039;&#039;Mixing:&#039;&#039;&#039; The time taken to mix the reagents can be the limiting step for very fast reactions.&lt;br /&gt;
&lt;br /&gt;
Once rate data have been collected, the designer can fit a suitable model of reaction kinetics.  Next, a critical sizing parameter can be specified for the reactor.  This will usually be one of the parameters given in Figure 1.  &lt;br /&gt;
&lt;br /&gt;
:: [[File:Sizing_Parameters.PNG]]&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;i&amp;gt;Figure 1&amp;lt;/i&amp;gt;. Reactor Sizing Parameters [1]&lt;br /&gt;
&lt;br /&gt;
==Step 5: Preliminary Sizing, Layout, and Costing of Reactor==&lt;br /&gt;
&lt;br /&gt;
The designer can estimate the reactor and catalyst volume from the sizing parameter.  This calculation will yield a value for the active reacting volume necessary.  Clearly, the actual reactor will need additional space.  The geometry of the reactor will depend on the desired flow pattern and mixing requirements [1].  The cost of most reactors can be estimated by determining the cost of a pressure vessel with the same dimensions and adding in the cost of the internals [1].&lt;br /&gt;
&lt;br /&gt;
==Step 6: Estimate Reactor Performance==&lt;br /&gt;
&lt;br /&gt;
At this point in the design process, it is important to verify that the proposed reactor will achieve the target conversions and selectivities.  A combination of experimental methods, such as pilot plants, and computer simulations can be used to predict the full-scale reactor performance.&lt;br /&gt;
&lt;br /&gt;
==Step 7: Optimize the Design==&lt;br /&gt;
&lt;br /&gt;
The reactor is typically a relatively small fraction of the total capital cost [1], so minimal time should be devoted to optimization to reduce the reactor cost.  However, if the target conversion, yields, and selectivities are not met, the process economics could be significantly impacted.  Therefore, steps 2 to 6 should be repeated at least until the minimum specifications are met [1].&lt;br /&gt;
&lt;br /&gt;
=Mixing in Industrial Reactors=&lt;br /&gt;
&lt;br /&gt;
Mixing plays an important role in many processing stages, including reactor performance.  It is critical to select the appropriate method of mixing in order to ensure the process produces the desired process yields, product purity, and cost effectiveness.  &lt;br /&gt;
&lt;br /&gt;
Correlations such as the Reynolds number can be used to determine the extent of mixing and correlate power consumption and heat transfer to the reactor shell [2].  In some cases, simple correlations may not be adequate:&lt;br /&gt;
* If dead zones cannot be tolerated for reasons of product purity, safety, 	etc.&lt;br /&gt;
* If reactor internals are complex&lt;br /&gt;
* If reaction selectivity is very sensitive to mixing&lt;br /&gt;
In these cases, it is usually necessary to carry out a more sophisticated analysis of mixing:&lt;br /&gt;
* Use computational fluid dynamics to model the reactor &lt;br /&gt;
* Use physical modeling (“cold flow”) experiments&lt;br /&gt;
* Use tomography methods to look at performance of real reactor&lt;br /&gt;
&lt;br /&gt;
==Gas Mixing==&lt;br /&gt;
Gases mix easily because of their low viscosities.  The mixing given by turbulent flow in a length of pipe is usually sufficient for most purposes [1].  Orifices, vanes, and baffles can be used to increase turbulence.  &lt;br /&gt;
&lt;br /&gt;
==Liquid Mixing==&lt;br /&gt;
*&#039;&#039;&#039;Inline Mixing&#039;&#039;&#039; Inline mixers can be used for the continuous mixing of low-viscosity fluids.  One inexpensive method involves the use of static devices that promote turbulent mixing in pipelines.  Some typical designs are shown in Figures 2(a), (b), and (c).&lt;br /&gt;
&lt;br /&gt;
::[[File:Static_Mixers.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 2.&#039;&#039; Inline mixers: (a) tee; (b) injection; (c) annular [1]&lt;br /&gt;
&lt;br /&gt;
:: When mixing low viscosity fluids (&amp;lt;50 mNs/m&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) with similar densities and flow rates, a simple mixing tee, Figure 2(a), followed by a length of pipe equal to 10 to 20 pipe diameters, is suitable [1].&lt;br /&gt;
:: When one flow is much lower than the other, an injection mixer, Figure 2(b&amp;amp;c), should be used.  A satisfactory blend will be achieved in about 80 pipe diameters [1].  Baffles or other flow restrictions can be used to reduce the mixing length required.  These mixers work by introducing one fluid into the flowing stream of the other through a concentric pipe or an annular array of jets [1].&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;Stirred Tanks&#039;&#039;&#039;  Stirred tanks were discussed in the [[#Ideal Reactors|Ideal Reactors]] section.  Mixing is conducted by an impeller mounted on a shaft driven by a motor.  The reactor usually contains baffles or other internals to induce turbulence and prevent the contents from swirling and creating a vortex.  Typically, baffles are 1/10 of diameter and located 1/20 of diameter from wall [2].  A typical arrangement of agitator and baffles in a stirred tank, and the flow pattern generated, is shown in Figure 3.  Mixing occurs through the bulk flow of the liquid and by the motion of the turbulent eddies created by the agitator.  Bulk flow is the predominant mixing mechanism required for the blending of miscible liquids and for solids suspension. Turbulent mixing is important in operations involving mass and heat transfer, which can be considered as shear-controlled processes [1].  &lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Arrangements.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 3.&#039;&#039; Agitator arrangements and flow patterns [1]&lt;br /&gt;
&lt;br /&gt;
:At high Reynolds numbers (low viscosity), one of the three basic types of impeller shown in Figure 4 should be used.  For processes controlled by turbulent mixing, the flat-bladed (Rushton) turbines are appropriate.  For bulk mixing, the propeller and pitched-bladed turbines are appropriate [1]. &lt;br /&gt;
&lt;br /&gt;
::[[File:Impeller_Types.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 4.&#039;&#039; Basic impeller types [1]&lt;br /&gt;
&lt;br /&gt;
:For more viscous fluids, paddle, anchor, and helical ribbon agitators (Figures 5(a), (b), and (c)), are used [1].  The selection chart given in Figure 6 can be used to make a preliminary selection of the agitator type, based on the liquid viscosity and tank volume [1].&lt;br /&gt;
&lt;br /&gt;
::[[File:Low_Speed_Agitators.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 5.&#039;&#039; Low-speed agitators [1]&lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Selection_Guide.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 6.&#039;&#039; Agitator selection guide [1]&lt;br /&gt;
&lt;br /&gt;
==Gas-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Gases can be mixed into liquids using the inline mixing or stirred tank methods discussed previously.  A special type of gas injector, called a sparger (shown in Figure 7) can also be used.  This is a long injection tube with multiple holes drilled in it.  &lt;br /&gt;
&lt;br /&gt;
[[File:Gas_Sparger.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 7.&#039;&#039; Gas sparger [1]&lt;br /&gt;
&lt;br /&gt;
A small flow of liquid can be dispersed into a gas stream using a spray nozzle (Figure 8).&lt;br /&gt;
&lt;br /&gt;
[[File:Liquid_Injection.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 8.&#039;&#039; Liquid injection into gas [1]&lt;br /&gt;
&lt;br /&gt;
==Solid-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Solids are usually added to a liquid in a stirred tank at atmospheric pressure.  In order to allow more accurate control of dissolved solid concentration, mixing of solids and liquids is often carried out as a batch operation [1].&lt;br /&gt;
&lt;br /&gt;
=Types of Reactors=&lt;br /&gt;
&lt;br /&gt;
Most reactors used in industry approximate the ideal batch reactor, PFR, or CSTR.  In fact, real reactors can be modeled as networks or combinations of multiple plug-flow and stirred-tank reactors [1]. Examples of real reactors that approximate the flow pattern of ideal reactors are shown in Figure 10.  These reactors will be discussed in more detail in the following sections.&lt;br /&gt;
&lt;br /&gt;
[[File:Types_of_Reactors.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 10.&#039;&#039; Ideal reactors and some real reactors that approximate the same flow pattern [1]&lt;br /&gt;
&lt;br /&gt;
==Vapor-Liquid Reactors==&lt;br /&gt;
&lt;br /&gt;
Vapor-liquid reactions are important in many chemical processes.  For example, oxygenation and hydrogenation reactions are usually carried out with the organic component in the liquid phase [1].  A summary of common goals for vapor-liquid reactors and the reactors used to achieve those goals is shown in Table 1.&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Goal !! Types of Vapor-Liquid Reactors !! Examples&lt;br /&gt;
|-&lt;br /&gt;
| Maintain low concentration of gas component in liquid || &lt;br /&gt;
* Sparged stirred tank reactor&lt;br /&gt;
* Sparged tubular reactor&lt;br /&gt;
 || &lt;br /&gt;
* Liquid phase oxidations using air&lt;br /&gt;
* Fermenters&lt;br /&gt;
|-&lt;br /&gt;
| Contact gas and liquid over catalyst || &lt;br /&gt;
* Trickle bed reactor &lt;br /&gt;
*Slurry phase reactor &lt;br /&gt;
|| &lt;br /&gt;
* Catalytic hydrogenation&lt;br /&gt;
|-&lt;br /&gt;
| React a component out of the gas phase to high conversion || &lt;br /&gt;
* Multi-stage V/L contactor (reactive absorption column) &lt;br /&gt;
* Venturi scrubber &lt;br /&gt;
|| &lt;br /&gt;
*Chemisorption &lt;br /&gt;
*Acid gas scrubbing&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 1.&#039;&#039; Summary of Vapor-Liquid Reactors [2]&lt;br /&gt;
&lt;br /&gt;
If the residence time requirements are short enough, vapor-liquid contacting columns are preferred because of the high area for mass transfer.  Trayed or packed columns can be used to contact vapor and liquid for reaction.  The column packing may be catalytically active or could be inert packing [2].  Please see the [[separation processes]] section of this website for more information on the types of processes used for the third goal listed.  &lt;br /&gt;
&lt;br /&gt;
Stirred tanks or tubular reactors are used when long residence time is needed for the liquid phase [1].  These types of reactors and more will be discussed in the [[#Catalytic Processes|catalytic processes]] section of this page.&lt;br /&gt;
&lt;br /&gt;
The reactors listed under the first goal in the table are unique to vapor-liquid processes.  The basic concept of a sparger was discussed in the [[#Mixing in Industrial Reactors|mixing]] section.  Sparged reactors are shown in Figure 11. &lt;br /&gt;
&lt;br /&gt;
[[File:Sparged_Reactors.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 11.&#039;&#039; Sparged stirred tank and tubular reactors [2]&lt;br /&gt;
&lt;br /&gt;
The gas is bubbled up through the liquid in a sparged reactor.  For smaller bubbles, a porous pipe diffuser can be used instead [2].  The designer must allow some disengaging space at the top of the reactor, or entrainment will be excessive.  If the gas flow rate is large then the gas flow can be used as the primary means of agitation.  Perry&#039;s Handbook suggests the following air rates (ft&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/ft&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;min) for agitating an open tank full of water at 1 atm:&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Degree of agitation !! Liquid depth 9 ft !! Liquid depth 3 ft&lt;br /&gt;
|-&lt;br /&gt;
| Moderate || 0.65 || 1.3&lt;br /&gt;
|-&lt;br /&gt;
| Complete || 1.3 || 2.6&lt;br /&gt;
|-&lt;br /&gt;
| Violent || 3.1 || 6.2&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 2.&#039;&#039; Summary of suggested flow rates for gas flow as agitation [2]&lt;br /&gt;
&lt;br /&gt;
==Catalytic Processes==&lt;br /&gt;
A catalyst increases the rate of a chemical reaction without itself becoming permanently changed by the reaction.  Catalysts allow reactions to be run in smaller reactors and operated at lower temperatures and improve selectivity.  Therefore, catalysts will almost always lead to a more economically attractive process than a noncatalytic route.  [1]  Catalysts are normally selected based on performance rather than price since increases catalysts selectivity will almost always quickly pay back any price premium expected by the manufacturer.  It is important to test the catalysts under conditions that are representative of process conditions [1].  &lt;br /&gt;
&lt;br /&gt;
Catalyst activity often deteriorates over time [2].  Common causes of deactivation include:&lt;br /&gt;
* Poisoning by components in feed (e.g. base destroys acid catalyst)&lt;br /&gt;
* Blockage of pores or active sites by byproducts such as coke&lt;br /&gt;
* Thermal or hydrothermal modification of catalyst structure&lt;br /&gt;
Slow activity loss can be compensated by:&lt;br /&gt;
* Putting in more catalyst (lower space velocity)&lt;br /&gt;
* Slowly raising reactor temperature&lt;br /&gt;
Rapid activity loss may require moving the catalyst to a continuous regeneration zone [2].&lt;br /&gt;
&lt;br /&gt;
Catalytic reactions can be either homogenous (catalyst is in the same phase as the reagents) or heterogeneous (catalyst is not in the same phase as the reagents).&lt;br /&gt;
&lt;br /&gt;
===Homogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
:Homogeneous catalysis can be conducted in the basic batch reactors, PFRs, or CSTRs that have already been discussed.  However, when the catalyst is in the same phase as the reagent, recovering this catalyst after the reaction can be difficult and expensive, particularly if the catalyst is sensitive to high temperatures [2].  Providing adequate interfacial area is also a challenge of homogeneous catalysis.  A reaction often only occurs at the interface or in the boundary layer between the catalyst and the reagents.  Increased mixing can increase the rate and selectivity of the reaction, but this can require detailed and expensive mixing equipment [2].  For these reasons, reactions requiring homogenous catalysts are not usually used unless an easy separation can be found to recover the catalyst.&lt;br /&gt;
&lt;br /&gt;
===Heterogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
: Catalyst recovery in processes involving heterogeneous catalysis is much easier.  However, the rate of reaction is limited by the available inter-phase surface area and the mass transfer of reagents and products to and from the interface [2].  Therefore, reactors for these processes are design to reduce these limitations.&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Fixed Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: In a fixed-bed reactor, the reagent flows over a stationary bed of packed catalyst [1].  This is the most common type of reactor used for heterogeneous catalysis as long as the catalyst does not require continuous regeneration and the reaction mixture does not require high agitation [2].  The amount of catalyst necessary can be found using the following equations:&lt;br /&gt;
&lt;br /&gt;
::[[File:Catalyst_Calcs.png]]&lt;br /&gt;
&lt;br /&gt;
:: The ratio of the bed height (L) to the diameter (D) determines the distribution of reagents and the pressure drop across the bed.  An increased L/D ratio creates a more even distribution and less change of localized deactivation or &amp;quot;hot spots.&amp;quot;  However, increasing the L/D ratio increases the pressure drop, requiring higher compression and pumping costs [2].  The Ergun equation can be used to calculate the pressure drop in packed beds. &lt;br /&gt;
&lt;br /&gt;
:: [[File:Ergun.png]]&lt;br /&gt;
&lt;br /&gt;
::Where V is the superficial velocity (volume flowrate divided by cross-sectional area), μ is the viscosity, D&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; is the particle diameter and ε is the porosity of the packed bed [2]. Given these trade-offs, it may make sense to split the catalyst over several beds [2].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Radial Flow Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: When there is very little pressure drop available, the L/D ratio must be much less that one [2].  A common solution to this is to use a radial flow reactor with the catalyst contained in an annulus between vertical perforated or slotted screens.  The fluid flows radially through the bed and the direction of flow can be either inwards or outwards [1].  An example of a radial flow reactor is shown in Figure 12.&lt;br /&gt;
&lt;br /&gt;
:: [[File:Radial_flow.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 12.&#039;&#039; Radial flow reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Moving Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: A moving bed reactor is similar to a radial flow reactor, but the catalyst is moved through the annular space [2].&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Fluidized Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: If the fluid flow is up through the catalyst bed then the bed can become fluidized if the pressure drop is high enough to support the weight of the catalyst.  Fluidized beds usually have a lower pressure drop than down flow at high flow rates [2].  In addition, fluidizing the catalyst eases the transition from one reaction zone to another.&lt;br /&gt;
&lt;br /&gt;
:: The catalyst bed is fluidized using a distributor to inject fluidization fluid, which is not necessarily the feed.  Fluidization occurs when the bed pressure drop balances the weight of the particles, or &lt;br /&gt;
&lt;br /&gt;
::[[File:Fluid_Eqn.png]]&lt;br /&gt;
&lt;br /&gt;
::Where ∆P is the pressure drop, ρ&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; and ρ&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; are the densities of the particle and gas respectively, ε&amp;lt;sub&amp;gt;m&amp;lt;/sub&amp;gt; is the porosity at minimum fluidization, and L is the height of the bed [2].  Fluidization can only be used with relatively small sized particles (&amp;lt;300 micrometers with gases).  The solid material must be strong enough to withstand attrition in the fluidized bed and cheap enough to allow for make-up to replace attrition losses [1].  A fluidized-bed reactors must also make allowance for separating the fluid-phase product from entrained solids so that solids are not carried out of the reactor [1].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Trickle Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Trickle bed reactors are used when all three phases are involved in the reaction.  They must ensure good distribution of both the vapor and the liquid, without channeling of either phase [2].  In a trickle bed reactor, the liquid flows down over the surface of a stationary bed of solids.  The gas phase usually also flows downwards with the liquid, but countercurrent flow is feasible as long as flooding conditions are avoided [1].  This requires a more sophisticated distributor like those used for packed distillation columns [2].  An example of a trickle bed reactor is shown in Figure 13.&lt;br /&gt;
&lt;br /&gt;
::[[File:trickle_bed.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 13.&#039;&#039; Example of trickle bed reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Slurry Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
::Liquid is mixed up in the liquid in slurry phase reactions.  Slurry reactors are prone to attrition of the solids, caused by pumping or agitation of the liquid [1].  Slurry-phase operation is usually not preferred for processes that use heterogeneous catalysts because the catalyst tends to become eroded and can be difficult to recover from the liquid [1].&lt;br /&gt;
&lt;br /&gt;
==Bioreactors==&lt;br /&gt;
&lt;br /&gt;
Bioreactors have requirements that add complexity compared to simpler chemical reactors.  These reactions often are three-phase (cells, water, and air), need sterile operation, and require heat removal [2].  However, biological systems have the following advantages:&lt;br /&gt;
* Some products can only be made by biological routes&lt;br /&gt;
* Large molecules such as proteins can be made&lt;br /&gt;
* Selectivity for desired product can be very high&lt;br /&gt;
* Products are often very valuable &lt;br /&gt;
&lt;br /&gt;
===Enzyme Catalysis===&lt;br /&gt;
&lt;br /&gt;
Enzymes are the biological equivalent of catalysts.  They can sometimes be isolated from host cells. They are usually proteins and, therefore, most are thermally unstable above ~60 degrees Celsius and active only in water at a restricted pH [2].  Enzymes can sometimes be absorbed onto a solid or encapsulated in a gel without losing their structure.  In this case, they can be used in a conventional fixed bed reactor.  Typically, homogenous reactions are carried out in batch reactors.&lt;br /&gt;
&lt;br /&gt;
===Cell Growth===&lt;br /&gt;
&lt;br /&gt;
Cell growth goes through several phases during a batch, shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
[[File:Cell_Growth_Rate.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 15.&#039;&#039; Cell growth and product formation in batch fermentation [1]&lt;br /&gt;
&lt;br /&gt;
* I: Innoculation: slow growth while cells adapt to new environment&lt;br /&gt;
* II: Exponential growth: growth rate proportional to cell mass&lt;br /&gt;
* III: Slow growth as substrate or other factors begin to limit rate&lt;br /&gt;
* IV: Stationary phase: cell growth rate and death rate are equal&lt;br /&gt;
* V: Decline phase: cells die or sporulate, often caused by product build-up&lt;br /&gt;
&lt;br /&gt;
Intracellular product accumulation is slow at first because there are a limited number of cells [2].  However, it is important to note that product accumulation continue even after the live cell count falls, since dead cells still contain product.&lt;br /&gt;
&lt;br /&gt;
The growth rate of cells can be limited by factors such as:&lt;br /&gt;
* The availability of the primary subtrate&lt;br /&gt;
** Typically glucose, fructose, sucrose, or other carbohydrate&lt;br /&gt;
* The availability of other metabolites&lt;br /&gt;
** Vitamins, minerals, hormones, or enzyme cofactors&lt;br /&gt;
* The availability of oxygen&lt;br /&gt;
* Mass transfer properties of the reaction system&lt;br /&gt;
* Inhibition or poisoning by products or byproducts&lt;br /&gt;
* High temperature caused by inadequate heat removal&lt;br /&gt;
&lt;br /&gt;
All of these factors are exacerbated at higher cell concentrations [2].  Clearly, biological reactions must be carefully controlled.  An addition complication in dealing with biological reactions is that the product formation is often not closedly tied to the rate of consumption of the substrate [2].  This is because of the fact that the product may be made by the cells at a relatively low concentration and the fact that some cell metabolic processes may not be involved in formation of the desired product [2].&lt;br /&gt;
&lt;br /&gt;
===Types of Bioreactors===&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Stirred Tank Fermenter&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: The stirred tank fermenter is the most common reactor used for biological reactions [2] and is similar to the stirred tanks discussed previously.  It can be used in both batch and continuous mode.  Figure 14 shows a stirred tank fermenter.&lt;br /&gt;
&lt;br /&gt;
::[[File:Fermentation.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 14.&#039;&#039; Fermentation reactor [1]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Shaftless Bioreactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Shaftless bioreactors are used when the pump shaft seal is considered a non-permissible source of contamination.  These reactors use gas flow to provide agitation of the liquid.  The design requires careful attention to hydraulics [2].  Examples of shaftless bioreactors are shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
::[[File:Shaftless.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 15.&#039;&#039; Examples of shaftless bioreactors [2]&lt;br /&gt;
&lt;br /&gt;
=Heating and Cooling of Reacting Systems=&lt;br /&gt;
&lt;br /&gt;
Exothermic and endothermic reactions will require reactors with heat control systems to prevent operating conditions from falling out of the desired range. Reactor performance is often limited by the ability to add or remove heat.  Insufficient heat removal can cause runaway reactions, particularly dangerous situations in chemical processing [4].  Before considering the design of a heating or cooling system to couple with a reactor, a few important questions should be asked[1].&lt;br /&gt;
&lt;br /&gt;
1. Can the reaction be carried out adiabatically?&lt;br /&gt;
&lt;br /&gt;
2. Can the feeds provide the required heating or cooling? Staged addition of feed can help alleviate the cost of adding a heat exchange network or heat transfer jacket.  Also consider adding an inert diluent or hot/cold shots [3].&lt;br /&gt;
&lt;br /&gt;
3. Would it be more cost effective to carry out the heat exchange outside of the reactor?&lt;br /&gt;
&lt;br /&gt;
4. Would it be more effective to carry out the reaction inside of a heat transfer device? If a reaction requires only a small volume or small quantities of catalyst, it may be possible to utilize a heat exchanger as a temperature controller and as a reaction location.&lt;br /&gt;
&lt;br /&gt;
5. Does the proposed design allow the process to be started up and shut down smoothly?&lt;br /&gt;
&lt;br /&gt;
6. Are there safety concerns with heating or cooling the reactor?&lt;br /&gt;
&lt;br /&gt;
After considering these aspects of the design, commercial design software such as HYSYS or UniSim can be utilized to estimate heating/cooling requirements. Once this is done, design of the heat exchange system can begin, with different reactor types and reactions requiring different design approaches[1].&lt;br /&gt;
&lt;br /&gt;
==Stirred Tank Reactors==&lt;br /&gt;
&lt;br /&gt;
Heating and cooling of a stirred tank reactor is done to ensure a uniform reaction temperature, so that there do not exist hot or cold spots within the reactor that can negatively affect selectivity[1]. &lt;br /&gt;
&lt;br /&gt;
For indirect heat transfer, there are three main alternatives: a heat transfer jacket, an internal coil, and an external heat transfer circuit. A jacket is utilized as long as there is sufficient heat transfer area for the heat exchange to take place. If this is not the case, coils are used, although the inclusion of a heating coil will significantly increase reactor volume and utility requirements, leading to a large increase in price for the reactor. External circuits contain a heat exchanger that will heat or cool the product stream as required and recycle this material to the reactor to control temperature. External circuits are useful because they can be designed independently of the reactor; sizing the required pumps and heat exchangers will not fundamentally change the activity of the reactor. For any of these choices, it should be ensure that no corrosion of the involved piping will occur, as utility streams bleeding into the reactor can have a very negative impact on the selectivity of the reaction and on the operation of the reactor on a whole[1].&lt;br /&gt;
&lt;br /&gt;
Some direct heat transfer alternatives also exist, as long the reaction in question is compatible with the addition of extra water. Steam can be pumped into the reactor to maintain temperature, which will eliminate the need to design heat transfer surfaces. However, steam injected into the system cannot be recovered, so this will lead to an increase in annual utility costs. Additionally, vapor will be produced if it did not exist previously, so reactors will need to be redesigned to accommodate a vapor removal system[1]. &lt;br /&gt;
&lt;br /&gt;
==Catalytic Reactors==&lt;br /&gt;
&lt;br /&gt;
===Slurry Reactors===&lt;br /&gt;
&lt;br /&gt;
Since slurry reactors already use a mix of solid catalyst and liquid reactants, any of the methods described in the Stirred Tank Reactors section can be applied to slurry reactors. It is not recommended to use internal coils in such a design, as reactor slurry will often corrode heat exchange material very easily[1].&lt;br /&gt;
&lt;br /&gt;
===Fixed-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Indirect heat transfer is not often utilized to control the temperature in fixed-bed reactors, as it hard to maintain uniform temperature across the radial section of the catalyst bed. In cases where temperature control is required, the reactor will be split into smaller sections. After each bed, there will be an heat transfer stage, where the product stream is heated or cooled as necessary and returned to the next catalytic segment[1]. &lt;br /&gt;
&lt;br /&gt;
===Fluidized-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Fluidized bed reactors have high heat-transfer coefficients, so indirect heat transfer is highly effective. The heat capacity of the solid catalyst particles can be used as a heat transfer medium themselves; heated catalyst contains a reaction location and the necessary heat to maintain the required temperature. Deactivated catalyst is heated during reactivation and recycle[1].&lt;br /&gt;
&lt;br /&gt;
==Heat Exchangers as Reactors==&lt;br /&gt;
&lt;br /&gt;
It is sometimes necessary to design a reactor as a heat transfer device, like when it is necessary to operate a reactor isothermally and there is a large heat of reaction. Some common situations include high-temperature endothermic reactions that quickly quench without continuous heat input and low-temperature exothermic reactions that must be kept at constant temperature to maintain selectivity. The most common heat transfer equipment used for reactions are shell and tube heat exchangers and fired heaters[1].&lt;br /&gt;
&lt;br /&gt;
===Homogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
If the reaction does not required a catalyst, than the heat transfer design is the same as a conventional heat transfer device, with some important changes in the thermal design. The usual heat exchanger equations will not apply to the design of a heat exchanger reactor due to the nonlinear behavior of the reaction rate with regards to temperature. In these cases, the usual practice of conservative temperature estimations will not aid in heat transfer design, as greater detail will be required to ensure the proper operation of the reactor. Detailed kinetic models should be developed before designing the internals of the heat transfer device[1].&lt;br /&gt;
&lt;br /&gt;
===Heterogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
The problems of designing for homogenous reactions still hold for heterogenous ones, with the added complication of solid catalyst beds. Catalyst can be loaded into the tubes of a shell and tube exchanger if the exchanger is mounted vertically and a suitable retaining screen is included at either end of the design. In this instance, hot catalyst can be reliably recycled and heat treated to reactivate the catalysts and reduce the presence of reactor hot spots. High-temperature endothermic reactions will be even more difficult to design for, as their heat requirements often exceed the amount provided by a heated catalyst. In these cases, a &amp;quot;tube in tube&amp;quot; design is utilized, where feed and catalyst are heated simultaneously by an external fired heater. This can be done as long as thermal expansion does not cause damage to the tubes, or else significant catalyst poisoning can occur. The same concerns as detailed in homogenous reactions will still apply for any design utilized for heterogenous ones, so it is again recommended to develop a detailed kinetic model before determining the amount of heat transfer required to maintain proper selectivity[1].&lt;br /&gt;
&lt;br /&gt;
=Safety Considerations in Reactor Design=&lt;br /&gt;
&lt;br /&gt;
Reactors require much attention to safety details in the design process due to the hazards they impose.  They are often the highest temperature point in the process, heat of reaction may be released, and residence times can be long leading to a large inventory of chemicals.  Guidelines exist for inherently safer design principles which seek to remove or reduce process hazards, limiting the impact of unforeseen events.  These design methods should be applied throughout the design process as part of good engineering practice; they cannot be retroactively added by a process safety specialist.  Some examples are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(table 15.16 in Towler)&lt;br /&gt;
&lt;br /&gt;
Exothermic reactions require special consideration due to their potential to runaway (temperature rises from heat of reaction being released, increasing reaction rate, releasing more heat, and so on).  The reactor must be designed such that temperature can be precisely controlled and the reaction shut down if temperature control is lost.  The use of solvents or inert species also allows for temperature control by adjusting heat capacity flow rate relative to rate of heat release from the reaction.  An additional safety feature would allow the reactor to be flooded with cold solvent or diluent.&lt;br /&gt;
&lt;br /&gt;
If there is a cooling system it should be designed to return the process to desired temperature if the maximum temperature is reached.  &lt;br /&gt;
&lt;br /&gt;
Venting and relief of reactors is complicated by the potential to keep reacting if containment is lost or material is discharged into the pressure relief system.  The relief system should be designed according to guidelines outlined in the Design Institute for Emergency Relief Systems (DIERS) methodology.  The reactor design team must understand the reaction mechanism and kinetics, including the role of any compounds which may accelerate the reaction.  Details may be found on the AIChE website, [http://www.aiche.org/diers here].&lt;br /&gt;
&lt;br /&gt;
=Capital Cost of Reactors=&lt;br /&gt;
&lt;br /&gt;
Reactors are classified as pressure vessels, and as such the pressure vessel design methods can be used to estimate wall thickness and thus determine capital cost.  Additional costs come from reactor internals or other equipment.  Jacketed stirred-tank reactors require more in depth analysis than that provided by pressure vessel design.  The wall of the reaction vessel may be in compression due to the jacket.  For preliminary cost estimating a correlation for jacketed stirred tank reactors operating at pressures below 20 bar can be used:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;C_e = a + b S^n&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;C_e&amp;lt;/math&amp;gt; is the purchased equipment cost on a U.S. Gulf Coast Basis, &amp;lt;math&amp;gt;a, b&amp;lt;/math&amp;gt; are cost constants, &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is the size parameter, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the exponent for that type of equipment.  Values for &amp;lt;math&amp;gt;a, b, S, n&amp;lt;/math&amp;gt; are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(Table 7.2 Towler)&lt;br /&gt;
&lt;br /&gt;
=Conclusions=&lt;br /&gt;
&lt;br /&gt;
The conversion of feed to products is the essence of a chemical process and, thus, the reactor is the heart of a chemical plant.  When designing a reactor, an engineer must first collect data about the chemical reaction and then select appropriate reaction conditions, which will help determine suitable materials of construction.  Next, the designer should determine the rate-limiting step and, from this, the critical sizing parameter. Next, preliminary sizing, layout, and costing can be conducted for the reactor.  At this point, simulations and experiments can be conducted to verify that the proposed reactor will meet the desired specifications.  The design is optimized until these targets are met.  Throughout the design process, it is important for the engineer to consider the most appropriate type of reactor to use, any mixing or heat transfer equipment that must be added, and safety considerations.&lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
# Towler, G.P. and Sinnot, R. (2012). &#039;&#039;Chemical Engineering Design: Principles, Practice and Economics of Plant and Process Design.&#039;&#039; Elsevier.&lt;br /&gt;
#Towler, G.P. (2012). &#039;&#039;Chemical Engineering Design&#039;&#039;, PowerPoint presentation.&lt;br /&gt;
#Seider, W.D. (2004). &#039;&#039;Process Design Principles: Synthesis, Analysis, and Evaluation&#039;&#039;, Wiley: New York.&lt;br /&gt;
#Turton, R.T. (2003). &#039;&#039;Analysis, Synthesis, and Design of Chemical Processes&#039;&#039;, Prentice Hall: Upper Saddle River.&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1046</id>
		<title>Reactors</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1046"/>
		<updated>2014-02-10T04:17:48Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Heating and Cooling of Reacting Systems */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Title: Reactors&lt;br /&gt;
&lt;br /&gt;
Author: Sean Cabaniss, David Park, Maxim Slivinsky and Julianne Wagoner&lt;br /&gt;
&lt;br /&gt;
Steward: Fengqi You&lt;br /&gt;
&lt;br /&gt;
Date Presented: February 4, 2014 &lt;br /&gt;
&lt;br /&gt;
&amp;lt;!-- Table of Contents --&amp;gt;&lt;br /&gt;
__TOC__&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
&lt;br /&gt;
The center of any chemical process is the reactor, where chemical reactions are carried out to transform feeds into products.  Reactor design is a vital step in the overall design of a process.  It is important to ensure that the equipment specified will be capable of achieving the desired yields and selectivity. &lt;br /&gt;
&lt;br /&gt;
==Ideal Reactors==&lt;br /&gt;
&lt;br /&gt;
===Batch Reactors===&lt;br /&gt;
&lt;br /&gt;
In a batch reactor, the reagents are added together and allowed to react for a given amount of time.  The compositions change with time, but there is no flow through the process.  Additional reagents may be added as the reaction proceeds, and changes in temperature may also be made.  Products are removed from the reactor after the reaction has proceeded to completion.&lt;br /&gt;
&lt;br /&gt;
Batch processes are suitable for small-scale production and for processes where several different products or grades are to be produced in the same equipment.  When production volumes are relatively small and/or the chemistry is relatively complex, batch processing provides an important means of quality control.&lt;br /&gt;
&lt;br /&gt;
===Plug Flow Reactor (PFR)===&lt;br /&gt;
&lt;br /&gt;
A PFR with tubular geometry has perfect radial mixing but no axial mixing.  All materials hav the same residence time, τ, and experience the same temperature and concentration profiles along the reactor.  Equation for PFR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;dM = \Re dV&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where M = molar flow rate, dV is the incremental volume, and &amp;lt;math&amp;gt;\Re&amp;lt;/math&amp;gt; is the rate of reaction per unit volume.&lt;br /&gt;
&lt;br /&gt;
This equation can be integrated along the length of the reactor to yield relationships between reactor resident time and concentration or conversion.&lt;br /&gt;
&lt;br /&gt;
===Continuously Stirred Tank Reactor (CSTR)===&lt;br /&gt;
&lt;br /&gt;
The stirred tank reactor models a large scale conventional laboratory flask and can be considered to be the basic chemical reactor.  In a CSTR, shown in Figure 1, there is no spatial variation- the entire vessel contents are at the same temperature, pressure, and concentration.  Therefore the fluid leaving the reactor is at the same temperature and concentration as the fluid inside the reactor.&lt;br /&gt;
&lt;br /&gt;
The material balance across the CSTR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;M_\text{in}-M_\text{out}= \Re V&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Some of the material the enters the reactor can leave immediately, while some leaves much later, so there is a broad distribution in residence time as shown in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:CSTR.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Continuously Stirred Tank Reactor [1]&lt;br /&gt;
&lt;br /&gt;
More information on stirred tanks can be found in the [[#Mixing in Industrial Reactors|Mixing]] section.&lt;br /&gt;
&lt;br /&gt;
=General Reactor Design=&lt;br /&gt;
&lt;br /&gt;
The design of the reactor should not be carried out separately from the overall process design due to the significant impact on capital and operating costs on other parts of the process[1].  &lt;br /&gt;
&lt;br /&gt;
==Step 1: Collect Required Data==&lt;br /&gt;
&lt;br /&gt;
Out of all process equipment, reactor design requires the most process input data: reaction enthalpies, phase-equilibrium constants, heat and mass transfer coefficients, as well as reaction rate constants.  All of the aforementioned parameters can be estimated using simulation models or literature correlations except for reaction rate constant constants, which need to be determined experimentally [1].&lt;br /&gt;
&lt;br /&gt;
===Enthalpy of Reaction===&lt;br /&gt;
&lt;br /&gt;
: The heat given out in a chemical reaction is based on the enthalpies of the component chemical reactions, which are given for standard temperature and pressure (1 atm, 25 C).  Values for standard heats of reaction can be found tabulated in literature, or can be calculated from heats of formation or combustion.  Care must be taken to quote the basis for the heat of reaction and the states of reactants and products.&lt;br /&gt;
&lt;br /&gt;
: The following equation is used to convert enthalpies from standard conditions to the process conditions:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,P,T} = \Delta H_\text{r}^{\circ} + &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: If the effect from pressure is not significant and only Temperature needs to be accounted for, the following equation should be used:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,T} = \Delta H_\text{r}^{\circ} + \Delta H_\text{prod.} + \Delta H_\text{react.}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Equilibrium Constant and Gibbs Free Energy===&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta G = -\mathbf{R} T \ln K &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: Where &amp;lt;math&amp;gt;\Delta G&amp;lt;/math&amp;gt; is the change in Gibbs free energy from the reaction at temperature &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;\mathbf{R}&amp;lt;/math&amp;gt; is the ideal gas constant, and &amp;lt;math&amp;gt;K&amp;lt;/math&amp;gt; is the reaction equilibrium constant, given by:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;K = \prod_{i=1}^n {a_i}^{\alpha_i} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: where &amp;lt;math&amp;gt;a_i&amp;lt;/math&amp;gt; is the activity of component i, &amp;lt;math&amp;gt;\alpha_i&amp;lt;/math&amp;gt; is the stoichiometric coefficient of component &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt;, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the total number of components.&lt;br /&gt;
&lt;br /&gt;
: Equilibrium constants can be found in the literature and are useful for evaluating the rates of forward and reverse reactions.  Care must be taken to the experimental design used for the literature equilibrium constants to make sure they are consistent with the conditions of the actual process reactor.  For more complicated reactions consisting of several sequential or simultaneous reactions, the equilibrium is found by minimizing the Gibbs free energy [1].  Commercial process simulation programs use the Gibbs reactor model in this way.  &lt;br /&gt;
&lt;br /&gt;
===Reaction Mechanisms, Rate Equations, and Rate Constants===&lt;br /&gt;
&lt;br /&gt;
: In most cases the main process reaction rate equations and rate constants cannot be predicted from first principles and must be approximated [1].  This is due to the following:&lt;br /&gt;
&lt;br /&gt;
* Use of heterogeneous catalysis or enzymes which lead to Langmuir-Hinshelwood-Hougen-Watson or Michaelis-Menten kinetics&lt;br /&gt;
* Mass transfer between vapor and liquid or two liquid phases&lt;br /&gt;
* Multistep mechanisms whose rate expressions do not follow overall reaction stoichiometry&lt;br /&gt;
* Competing side reactions&lt;br /&gt;
&lt;br /&gt;
: As a result the main process reaction is usually approximated as first- or second-order over a narrow range of process conditions (temperature, pressure, species concentrations) to estimate the residence time required for a target conversion.  Rate equations are always a fit for experimental data and should thus be used for interpolation within the data.  It is important to collect more data when extrapolating, especially for exothermic reactions which have the potential for runaway [1].&lt;br /&gt;
&lt;br /&gt;
===Heat and Mass Transfer Properties===&lt;br /&gt;
&lt;br /&gt;
====Heat Transfer====&lt;br /&gt;
:: The design of internal heating or cooling devices can be found in [https://processdesign.mccormick.northwestern.edu/index.php/Heat_Transfer_Equipment Heat Transfer Equipment].  Correlations for tube-side heat-transfer coefficients for catalyst-packed tubes of a heat exchanger are given below:&lt;br /&gt;
&lt;br /&gt;
:: For heating: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = .813 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.9} e^{-6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for cooling: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = 3.50 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.7} e^{-4.6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt; is the tube-side heat transfer coefficient for a packed tube, &amp;lt;math&amp;gt;d_t&amp;lt;/math&amp;gt; is the tube diameter, &amp;lt;math&amp;gt;\lambda_f&amp;lt;/math&amp;gt; is the fluid thermal conductivity, &amp;lt;math&amp;gt;\rho_f&amp;lt;/math&amp;gt; is the fluid density, &amp;lt;math&amp;gt;u&amp;lt;/math&amp;gt; is the superficial velocity, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the effective particle diameter, and &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the fluid viscosity.&lt;br /&gt;
&lt;br /&gt;
====Diffusion Coefficients====&lt;br /&gt;
&lt;br /&gt;
:: Diffusion coefficients are necessary when mass transfer can limit the rate of reaction, such as in catalytic reactions or reactions involving mass transfer processes such as gas absorption, distillation, and liquid-liquid extraction.  &lt;br /&gt;
&lt;br /&gt;
:: The diffusivity for gases can be estimated by the following correlation (Fuller, Schettler, Giddings):&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_v = \frac{1.013 \times 10^{-7} T^{1.75} {\left ( \frac{1}{M_a} + \frac{1}{M_b} \right )}^{1/2} }{P {\left [ {\left ( \sum_{a} v_i  \right )}^{1/3}  + {\left ( \sum_{b} v_i  \right )}^{1/3}  \right ]}^2  } &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_v&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is temperature, &amp;lt;math&amp;gt;M_a , M_b&amp;lt;/math&amp;gt; are the molecular masses of components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;P&amp;lt;/math&amp;gt; is the total pressure, and &amp;lt;math&amp;gt;\sum_{a} v_i , \sum_{b} v_i&amp;lt;/math&amp;gt; are the summation of special diffusion volume coefficients for components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, given in the table below:&lt;br /&gt;
&lt;br /&gt;
:: (volume coefficient table from towler)&lt;br /&gt;
&lt;br /&gt;
:: Wilke and Chang developed a correlation for estimating the diffusivity of components in the liquid phase:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_L =  \frac{1.173 \times 10^{-13} {(\phi M_w)}^{1/2} T}{\mu V_m^{.6}} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid diffusivity, &amp;lt;math&amp;gt;\phi&amp;lt;/math&amp;gt; is an association factor for the solvent, &amp;lt;math&amp;gt;M_w&amp;lt;/math&amp;gt; is the molecular mass of the solvent, &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the solvent viscosity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is the temperature, and &amp;lt;math&amp;gt;V_m&amp;lt;/math&amp;gt; is the molar volume of the solute at its boiling point.  This correlation holds for organic compounds in water but not for water in organic solvents.&lt;br /&gt;
&lt;br /&gt;
====Mass Transfer====&lt;br /&gt;
&lt;br /&gt;
:: For multiphase reactors it is necessary to estimate the mass transfer coefficient.  &lt;br /&gt;
&lt;br /&gt;
:: The equation of Gupta and Thodos predicts the mass transfer coefficient for a packed bed of particles:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac{k d_p}{D} = 2.06 \frac{1}{\epsilon} {Re}^{.425} {Sc}^{.33} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the particle diameter, &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;Re&amp;lt;/math&amp;gt; is the Reynolds number calculated using the superficial velocity through the bed, &amp;lt;math&amp;gt;Sc&amp;lt;/math&amp;gt; is the Schmidt number,  and &amp;lt;math&amp;gt;\epsilon&amp;lt;/math&amp;gt; is the bed void fraction.&lt;br /&gt;
&lt;br /&gt;
:: Mass transfer between vapor and liquid in an agitated vessel can be described by the Van&#039;t Riet equations:&lt;br /&gt;
&lt;br /&gt;
:: For air-water: &amp;lt;math&amp;gt; k_L a = 0.026 {\left ( \frac{P_a}{V_{liq}} \right )}^{.4} Q^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for air-water-electrolyte: &amp;lt;math&amp;gt; k_L a = 0.002 {\left ( \frac{P_a}{V_{liq}} \right )}^{.7} Q^{.2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k_L&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; is the interfacial area per unit volume, &amp;lt;math&amp;gt;Q&amp;lt;/math&amp;gt; is the gas volumetric flow rate, &amp;lt;math&amp;gt;V_{liq}&amp;lt;/math&amp;gt; is the liquid volume, and &amp;lt;math&amp;gt;P_a&amp;lt;/math&amp;gt; is the agitator power input.&lt;br /&gt;
&lt;br /&gt;
:: Fair&#039;s method for calculating the mass transfer coefficient for low viscosity systems is given by:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac {{(k_L a)}_{system}}{{(k_L a)}_{air-water}} = {\left ( \frac{D_{L,system}}{D_{L, air-water}} \right )}^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid phase diffusivity.  &lt;br /&gt;
&lt;br /&gt;
:: Mass transfer correlations for vapor-liquid systems should be used with caution when there are surfactants [1].&lt;br /&gt;
&lt;br /&gt;
==Step 2: Select Reaction Conditions==&lt;br /&gt;
&lt;br /&gt;
===Chemical or Biochemical Reaction===&lt;br /&gt;
&lt;br /&gt;
===Catalyst===&lt;br /&gt;
&lt;br /&gt;
===Temperature===&lt;br /&gt;
&lt;br /&gt;
===Pressure===&lt;br /&gt;
&lt;br /&gt;
===Reaction Phase===&lt;br /&gt;
&lt;br /&gt;
===Solvent===&lt;br /&gt;
&lt;br /&gt;
===Concentrations===&lt;br /&gt;
&lt;br /&gt;
==Step 3: Determine Materials of Construction==&lt;br /&gt;
&lt;br /&gt;
A preliminary analysis of the materials of construction for the reactor can be conducted after the reaction conditions have been specified.  Particularly important in this analysis are the temperatures and pressures the process will run at.  At extreme conditions, costly alloys may need to be used.  In addition, the designer must ensure that process streams will not react with materials used in process equipment.&lt;br /&gt;
&lt;br /&gt;
==Step 4: Determine Rate-Limiting Step and Critical Sizing Parameters==&lt;br /&gt;
&lt;br /&gt;
The key parameters that determine the extent of reaction must be identified by carrying out an experiment plan with a broad range of conditions.  In general, the rate of reaction is usually limited by the following fundamental processes.  The first three have been discussed in previous sections.  Mixing will be developed in more detail in its own section. &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Intrinsic kinetics:&#039;&#039;&#039; There will usually be one slowest step that governs the overall rate.&lt;br /&gt;
* &#039;&#039;&#039;Mass-transfer rate:&#039;&#039;&#039; In multiphase reactions and processes that use porous heterogeneous catalysis, mass transfer can be particularly important.  Often, careful experimentation will be needed to separate the effects of mass transfer and the rate of reaction to determine which is the rate-limiting step. &lt;br /&gt;
* &#039;&#039;&#039;Heat-transfer rate:&#039;&#039;&#039; The rate of heat addition can become the governing parameter for endothermic reactions.  Heat-transfer devices such as heat exchangers or fired heaters may need to be used.&lt;br /&gt;
* &#039;&#039;&#039;Mixing:&#039;&#039;&#039; The time taken to mix the reagents can be the limiting step for very fast reactions.&lt;br /&gt;
&lt;br /&gt;
Once rate data have been collected, the designer can fit a suitable model of reaction kinetics.  Next, a critical sizing parameter can be specified for the reactor.  This will usually be one of the parameters given in Figure 1.  &lt;br /&gt;
&lt;br /&gt;
:: [[File:Sizing_Parameters.PNG]]&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;i&amp;gt;Figure 1&amp;lt;/i&amp;gt;. Reactor Sizing Parameters [1]&lt;br /&gt;
&lt;br /&gt;
==Step 5: Preliminary Sizing, Layout, and Costing of Reactor==&lt;br /&gt;
&lt;br /&gt;
The designer can estimate the reactor and catalyst volume from the sizing parameter.  This calculation will yield a value for the active reacting volume necessary.  Clearly, the actual reactor will need additional space.  The geometry of the reactor will depend on the desired flow pattern and mixing requirements [1].  The cost of most reactors can be estimated by determining the cost of a pressure vessel with the same dimensions and adding in the cost of the internals [1].&lt;br /&gt;
&lt;br /&gt;
==Step 6: Estimate Reactor Performance==&lt;br /&gt;
&lt;br /&gt;
At this point in the design process, it is important to verify that the proposed reactor will achieve the target conversions and selectivities.  A combination of experimental methods, such as pilot plants, and computer simulations can be used to predict the full-scale reactor performance.&lt;br /&gt;
&lt;br /&gt;
==Step 7: Optimize the Design==&lt;br /&gt;
&lt;br /&gt;
The reactor is typically a relatively small fraction of the total capital cost [1], so minimal time should be devoted to optimization to reduce the reactor cost.  However, if the target conversion, yields, and selectivities are not met, the process economics could be significantly impacted.  Therefore, steps 2 to 6 should be repeated at least until the minimum specifications are met [1].&lt;br /&gt;
&lt;br /&gt;
=Mixing in Industrial Reactors=&lt;br /&gt;
&lt;br /&gt;
Mixing plays an important role in many processing stages, including reactor performance.  It is critical to select the appropriate method of mixing in order to ensure the process produces the desired process yields, product purity, and cost effectiveness.  &lt;br /&gt;
&lt;br /&gt;
Correlations such as the Reynolds number can be used to determine the extent of mixing and correlate power consumption and heat transfer to the reactor shell [2].  In some cases, simple correlations may not be adequate:&lt;br /&gt;
* If dead zones cannot be tolerated for reasons of product purity, safety, 	etc.&lt;br /&gt;
* If reactor internals are complex&lt;br /&gt;
* If reaction selectivity is very sensitive to mixing&lt;br /&gt;
In these cases, it is usually necessary to carry out a more sophisticated analysis of mixing:&lt;br /&gt;
* Use computational fluid dynamics to model the reactor &lt;br /&gt;
* Use physical modeling (“cold flow”) experiments&lt;br /&gt;
* Use tomography methods to look at performance of real reactor&lt;br /&gt;
&lt;br /&gt;
==Gas Mixing==&lt;br /&gt;
Gases mix easily because of their low viscosities.  The mixing given by turbulent flow in a length of pipe is usually sufficient for most purposes [1].  Orifices, vanes, and baffles can be used to increase turbulence.  &lt;br /&gt;
&lt;br /&gt;
==Liquid Mixing==&lt;br /&gt;
*&#039;&#039;&#039;Inline Mixing&#039;&#039;&#039; Inline mixers can be used for the continuous mixing of low-viscosity fluids.  One inexpensive method involves the use of static devices that promote turbulent mixing in pipelines.  Some typical designs are shown in Figures 2(a), (b), and (c).&lt;br /&gt;
&lt;br /&gt;
::[[File:Static_Mixers.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 2.&#039;&#039; Inline mixers: (a) tee; (b) injection; (c) annular [1]&lt;br /&gt;
&lt;br /&gt;
:: When mixing low viscosity fluids (&amp;lt;50 mNs/m&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) with similar densities and flow rates, a simple mixing tee, Figure 2(a), followed by a length of pipe equal to 10 to 20 pipe diameters, is suitable [1].&lt;br /&gt;
:: When one flow is much lower than the other, an injection mixer, Figure 2(b&amp;amp;c), should be used.  A satisfactory blend will be achieved in about 80 pipe diameters [1].  Baffles or other flow restrictions can be used to reduce the mixing length required.  These mixers work by introducing one fluid into the flowing stream of the other through a concentric pipe or an annular array of jets [1].&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;Stirred Tanks&#039;&#039;&#039;  Stirred tanks were discussed in the [[#Ideal Reactors|Ideal Reactors]] section.  Mixing is conducted by an impeller mounted on a shaft driven by a motor.  The reactor usually contains baffles or other internals to induce turbulence and prevent the contents from swirling and creating a vortex.  Typically, baffles are 1/10 of diameter and located 1/20 of diameter from wall [2].  A typical arrangement of agitator and baffles in a stirred tank, and the flow pattern generated, is shown in Figure 3.  Mixing occurs through the bulk flow of the liquid and by the motion of the turbulent eddies created by the agitator.  Bulk flow is the predominant mixing mechanism required for the blending of miscible liquids and for solids suspension. Turbulent mixing is important in operations involving mass and heat transfer, which can be considered as shear-controlled processes [1].  &lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Arrangements.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 3.&#039;&#039; Agitator arrangements and flow patterns [1]&lt;br /&gt;
&lt;br /&gt;
:At high Reynolds numbers (low viscosity), one of the three basic types of impeller shown in Figure 4 should be used.  For processes controlled by turbulent mixing, the flat-bladed (Rushton) turbines are appropriate.  For bulk mixing, the propeller and pitched-bladed turbines are appropriate [1]. &lt;br /&gt;
&lt;br /&gt;
::[[File:Impeller_Types.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 4.&#039;&#039; Basic impeller types [1]&lt;br /&gt;
&lt;br /&gt;
:For more viscous fluids, paddle, anchor, and helical ribbon agitators (Figures 5(a), (b), and (c)), are used [1].  The selection chart given in Figure 6 can be used to make a preliminary selection of the agitator type, based on the liquid viscosity and tank volume [1].&lt;br /&gt;
&lt;br /&gt;
::[[File:Low_Speed_Agitators.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 5.&#039;&#039; Low-speed agitators [1]&lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Selection_Guide.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 6.&#039;&#039; Agitator selection guide [1]&lt;br /&gt;
&lt;br /&gt;
==Gas-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Gases can be mixed into liquids using the inline mixing or stirred tank methods discussed previously.  A special type of gas injector, called a sparger (shown in Figure 7) can also be used.  This is a long injection tube with multiple holes drilled in it.  &lt;br /&gt;
&lt;br /&gt;
[[File:Gas_Sparger.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 7.&#039;&#039; Gas sparger [1]&lt;br /&gt;
&lt;br /&gt;
A small flow of liquid can be dispersed into a gas stream using a spray nozzle (Figure 8).&lt;br /&gt;
&lt;br /&gt;
[[File:Liquid_Injection.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 8.&#039;&#039; Liquid injection into gas [1]&lt;br /&gt;
&lt;br /&gt;
==Solid-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Solids are usually added to a liquid in a stirred tank at atmospheric pressure.  In order to allow more accurate control of dissolved solid concentration, mixing of solids and liquids is often carried out as a batch operation [1].&lt;br /&gt;
&lt;br /&gt;
=Types of Reactors=&lt;br /&gt;
&lt;br /&gt;
Most reactors used in industry approximate the ideal batch reactor, PFR, or CSTR.  In fact, real reactors can be modeled as networks or combinations of multiple plug-flow and stirred-tank reactors [1]. Examples of real reactors that approximate the flow pattern of ideal reactors are shown in Figure 10.  These reactors will be discussed in more detail in the following sections.&lt;br /&gt;
&lt;br /&gt;
[[File:Types_of_Reactors.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 10.&#039;&#039; Ideal reactors and some real reactors that approximate the same flow pattern [1]&lt;br /&gt;
&lt;br /&gt;
==Vapor-Liquid Reactors==&lt;br /&gt;
&lt;br /&gt;
Vapor-liquid reactions are important in many chemical processes.  For example, oxygenation and hydrogenation reactions are usually carried out with the organic component in the liquid phase [1].  A summary of common goals for vapor-liquid reactors and the reactors used to achieve those goals is shown in Table 1.&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Goal !! Types of Vapor-Liquid Reactors !! Examples&lt;br /&gt;
|-&lt;br /&gt;
| Maintain low concentration of gas component in liquid || &lt;br /&gt;
* Sparged stirred tank reactor&lt;br /&gt;
* Sparged tubular reactor&lt;br /&gt;
 || &lt;br /&gt;
* Liquid phase oxidations using air&lt;br /&gt;
* Fermenters&lt;br /&gt;
|-&lt;br /&gt;
| Contact gas and liquid over catalyst || &lt;br /&gt;
* Trickle bed reactor &lt;br /&gt;
*Slurry phase reactor &lt;br /&gt;
|| &lt;br /&gt;
* Catalytic hydrogenation&lt;br /&gt;
|-&lt;br /&gt;
| React a component out of the gas phase to high conversion || &lt;br /&gt;
* Multi-stage V/L contactor (reactive absorption column) &lt;br /&gt;
* Venturi scrubber &lt;br /&gt;
|| &lt;br /&gt;
*Chemisorption &lt;br /&gt;
*Acid gas scrubbing&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 1.&#039;&#039; Summary of Vapor-Liquid Reactors [2]&lt;br /&gt;
&lt;br /&gt;
If the residence time requirements are short enough, vapor-liquid contacting columns are preferred because of the high area for mass transfer.  Trayed or packed columns can be used to contact vapor and liquid for reaction.  The column packing may be catalytically active or could be inert packing [2].  Please see the [[separation processes]] section of this website for more information on the types of processes used for the third goal listed.  &lt;br /&gt;
&lt;br /&gt;
Stirred tanks or tubular reactors are used when long residence time is needed for the liquid phase [1].  These types of reactors and more will be discussed in the [[#Catalytic Processes|catalytic processes]] section of this page.&lt;br /&gt;
&lt;br /&gt;
The reactors listed under the first goal in the table are unique to vapor-liquid processes.  The basic concept of a sparger was discussed in the [[#Mixing in Industrial Reactors|mixing]] section.  Sparged reactors are shown in Figure 11. &lt;br /&gt;
&lt;br /&gt;
[[File:Sparged_Reactors.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 11.&#039;&#039; Sparged stirred tank and tubular reactors [2]&lt;br /&gt;
&lt;br /&gt;
The gas is bubbled up through the liquid in a sparged reactor.  For smaller bubbles, a porous pipe diffuser can be used instead [2].  The designer must allow some disengaging space at the top of the reactor, or entrainment will be excessive.  If the gas flow rate is large then the gas flow can be used as the primary means of agitation.  Perry&#039;s Handbook suggests the following air rates (ft&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/ft&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;min) for agitating an open tank full of water at 1 atm:&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Degree of agitation !! Liquid depth 9 ft !! Liquid depth 3 ft&lt;br /&gt;
|-&lt;br /&gt;
| Moderate || 0.65 || 1.3&lt;br /&gt;
|-&lt;br /&gt;
| Complete || 1.3 || 2.6&lt;br /&gt;
|-&lt;br /&gt;
| Violent || 3.1 || 6.2&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 2.&#039;&#039; Summary of suggested flow rates for gas flow as agitation [2]&lt;br /&gt;
&lt;br /&gt;
==Catalytic Processes==&lt;br /&gt;
A catalyst increases the rate of a chemical reaction without itself becoming permanently changed by the reaction.  Catalysts allow reactions to be run in smaller reactors and operated at lower temperatures and improve selectivity.  Therefore, catalysts will almost always lead to a more economically attractive process than a noncatalytic route.  [1]  Catalysts are normally selected based on performance rather than price since increases catalysts selectivity will almost always quickly pay back any price premium expected by the manufacturer.  It is important to test the catalysts under conditions that are representative of process conditions [1].  &lt;br /&gt;
&lt;br /&gt;
Catalyst activity often deteriorates over time [2].  Common causes of deactivation include:&lt;br /&gt;
* Poisoning by components in feed (e.g. base destroys acid catalyst)&lt;br /&gt;
* Blockage of pores or active sites by byproducts such as coke&lt;br /&gt;
* Thermal or hydrothermal modification of catalyst structure&lt;br /&gt;
Slow activity loss can be compensated by:&lt;br /&gt;
* Putting in more catalyst (lower space velocity)&lt;br /&gt;
* Slowly raising reactor temperature&lt;br /&gt;
Rapid activity loss may require moving the catalyst to a continuous regeneration zone [2].&lt;br /&gt;
&lt;br /&gt;
Catalytic reactions can be either homogenous (catalyst is in the same phase as the reagents) or heterogeneous (catalyst is not in the same phase as the reagents).&lt;br /&gt;
&lt;br /&gt;
===Homogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
:Homogeneous catalysis can be conducted in the basic batch reactors, PFRs, or CSTRs that have already been discussed.  However, when the catalyst is in the same phase as the reagent, recovering this catalyst after the reaction can be difficult and expensive, particularly if the catalyst is sensitive to high temperatures [2].  Providing adequate interfacial area is also a challenge of homogeneous catalysis.  A reaction often only occurs at the interface or in the boundary layer between the catalyst and the reagents.  Increased mixing can increase the rate and selectivity of the reaction, but this can require detailed and expensive mixing equipment [2].  For these reasons, reactions requiring homogenous catalysts are not usually used unless an easy separation can be found to recover the catalyst.&lt;br /&gt;
&lt;br /&gt;
===Heterogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
: Catalyst recovery in processes involving heterogeneous catalysis is much easier.  However, the rate of reaction is limited by the available inter-phase surface area and the mass transfer of reagents and products to and from the interface [2].  Therefore, reactors for these processes are design to reduce these limitations.&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Fixed Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: In a fixed-bed reactor, the reagent flows over a stationary bed of packed catalyst [1].  This is the most common type of reactor used for heterogeneous catalysis as long as the catalyst does not require continuous regeneration and the reaction mixture does not require high agitation [2].  The amount of catalyst necessary can be found using the following equations:&lt;br /&gt;
&lt;br /&gt;
::[[File:Catalyst_Calcs.png]]&lt;br /&gt;
&lt;br /&gt;
:: The ratio of the bed height (L) to the diameter (D) determines the distribution of reagents and the pressure drop across the bed.  An increased L/D ratio creates a more even distribution and less change of localized deactivation or &amp;quot;hot spots.&amp;quot;  However, increasing the L/D ratio increases the pressure drop, requiring higher compression and pumping costs [2].  The Ergun equation can be used to calculate the pressure drop in packed beds. &lt;br /&gt;
&lt;br /&gt;
:: [[File:Ergun.png]]&lt;br /&gt;
&lt;br /&gt;
::Where V is the superficial velocity (volume flowrate divided by cross-sectional area), μ is the viscosity, D&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; is the particle diameter and ε is the porosity of the packed bed [2]. Given these trade-offs, it may make sense to split the catalyst over several beds [2].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Radial Flow Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: When there is very little pressure drop available, the L/D ratio must be much less that one [2].  A common solution to this is to use a radial flow reactor with the catalyst contained in an annulus between vertical perforated or slotted screens.  The fluid flows radially through the bed and the direction of flow can be either inwards or outwards [1].  An example of a radial flow reactor is shown in Figure 12.&lt;br /&gt;
&lt;br /&gt;
:: [[File:Radial_flow.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 12.&#039;&#039; Radial flow reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Moving Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: A moving bed reactor is similar to a radial flow reactor, but the catalyst is moved through the annular space [2].&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Fluidized Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: If the fluid flow is up through the catalyst bed then the bed can become fluidized if the pressure drop is high enough to support the weight of the catalyst.  Fluidized beds usually have a lower pressure drop than down flow at high flow rates [2].  In addition, fluidizing the catalyst eases the transition from one reaction zone to another.&lt;br /&gt;
&lt;br /&gt;
:: The catalyst bed is fluidized using a distributor to inject fluidization fluid, which is not necessarily the feed.  Fluidization occurs when the bed pressure drop balances the weight of the particles, or &lt;br /&gt;
&lt;br /&gt;
::[[File:Fluid_Eqn.png]]&lt;br /&gt;
&lt;br /&gt;
::Where ∆P is the pressure drop, ρ&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; and ρ&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; are the densities of the particle and gas respectively, ε&amp;lt;sub&amp;gt;m&amp;lt;/sub&amp;gt; is the porosity at minimum fluidization, and L is the height of the bed [2].  Fluidization can only be used with relatively small sized particles (&amp;lt;300 micrometers with gases).  The solid material must be strong enough to withstand attrition in the fluidized bed and cheap enough to allow for make-up to replace attrition losses [1].  A fluidized-bed reactors must also make allowance for separating the fluid-phase product from entrained solids so that solids are not carried out of the reactor [1].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Trickle Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Trickle bed reactors are used when all three phases are involved in the reaction.  They must ensure good distribution of both the vapor and the liquid, without channeling of either phase [2].  In a trickle bed reactor, the liquid flows down over the surface of a stationary bed of solids.  The gas phase usually also flows downwards with the liquid, but countercurrent flow is feasible as long as flooding conditions are avoided [1].  This requires a more sophisticated distributor like those used for packed distillation columns [2].  An example of a trickle bed reactor is shown in Figure 13.&lt;br /&gt;
&lt;br /&gt;
::[[File:trickle_bed.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 13.&#039;&#039; Example of trickle bed reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Slurry Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
::Liquid is mixed up in the liquid in slurry phase reactions.  Slurry reactors are prone to attrition of the solids, caused by pumping or agitation of the liquid [1].  Slurry-phase operation is usually not preferred for processes that use heterogeneous catalysts because the catalyst tends to become eroded and can be difficult to recover from the liquid [1].&lt;br /&gt;
&lt;br /&gt;
==Bioreactors==&lt;br /&gt;
&lt;br /&gt;
Bioreactors have requirements that add complexity compared to simpler chemical reactors.  These reactions often are three-phase (cells, water, and air), need sterile operation, and require heat removal [2].  However, biological systems have the following advantages:&lt;br /&gt;
* Some products can only be made by biological routes&lt;br /&gt;
* Large molecules such as proteins can be made&lt;br /&gt;
* Selectivity for desired product can be very high&lt;br /&gt;
* Products are often very valuable &lt;br /&gt;
&lt;br /&gt;
===Enzyme Catalysis===&lt;br /&gt;
&lt;br /&gt;
Enzymes are the biological equivalent of catalysts.  They can sometimes be isolated from host cells. They are usually proteins and, therefore, most are thermally unstable above ~60 degrees Celsius and active only in water at a restricted pH [2].  Enzymes can sometimes be absorbed onto a solid or encapsulated in a gel without losing their structure.  In this case, they can be used in a conventional fixed bed reactor.  Typically, homogenous reactions are carried out in batch reactors.&lt;br /&gt;
&lt;br /&gt;
===Cell Growth===&lt;br /&gt;
&lt;br /&gt;
Cell growth goes through several phases during a batch, shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
[[File:Cell_Growth_Rate.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 15.&#039;&#039; Cell growth and product formation in batch fermentation [1]&lt;br /&gt;
&lt;br /&gt;
* I: Innoculation: slow growth while cells adapt to new environment&lt;br /&gt;
* II: Exponential growth: growth rate proportional to cell mass&lt;br /&gt;
* III: Slow growth as substrate or other factors begin to limit rate&lt;br /&gt;
* IV: Stationary phase: cell growth rate and death rate are equal&lt;br /&gt;
* V: Decline phase: cells die or sporulate, often caused by product build-up&lt;br /&gt;
&lt;br /&gt;
Intracellular product accumulation is slow at first because there are a limited number of cells [2].  However, it is important to note that product accumulation continue even after the live cell count falls, since dead cells still contain product.&lt;br /&gt;
&lt;br /&gt;
The growth rate of cells can be limited by factors such as:&lt;br /&gt;
* The availability of the primary subtrate&lt;br /&gt;
** Typically glucose, fructose, sucrose, or other carbohydrate&lt;br /&gt;
* The availability of other metabolites&lt;br /&gt;
** Vitamins, minerals, hormones, or enzyme cofactors&lt;br /&gt;
* The availability of oxygen&lt;br /&gt;
* Mass transfer properties of the reaction system&lt;br /&gt;
* Inhibition or poisoning by products or byproducts&lt;br /&gt;
* High temperature caused by inadequate heat removal&lt;br /&gt;
&lt;br /&gt;
All of these factors are exacerbated at higher cell concentrations [2].  Clearly, biological reactions must be carefully controlled.  An addition complication in dealing with biological reactions is that the product formation is often not closedly tied to the rate of consumption of the substrate [2].  This is because of the fact that the product may be made by the cells at a relatively low concentration and the fact that some cell metabolic processes may not be involved in formation of the desired product [2].&lt;br /&gt;
&lt;br /&gt;
===Types of Bioreactors===&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Stirred Tank Fermenter&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: The stirred tank fermenter is the most common reactor used for biological reactions [2] and is similar to the stirred tanks discussed previously.  It can be used in both batch and continuous mode.  Figure 14 shows a stirred tank fermenter.&lt;br /&gt;
&lt;br /&gt;
::[[File:Fermentation.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 14.&#039;&#039; Fermentation reactor [1]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Shaftless Bioreactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Shaftless bioreactors are used when the pump shaft seal is considered a non-permissible source of contamination.  These reactors use gas flow to provide agitation of the liquid.  The design requires careful attention to hydraulics [2].  Examples of shaftless bioreactors are shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
::[[File:Shaftless.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 15.&#039;&#039; Examples of shaftless bioreactors [2]&lt;br /&gt;
&lt;br /&gt;
=Heating and Cooling of Reacting Systems=&lt;br /&gt;
&lt;br /&gt;
Exothermic and endothermic reactions will require reactors with heat control systems to prevent operating conditions from falling out of the desired range. Reactor performance is often limited by the ability to add or remove heat.  Insufficient heat removal can cause runaway reactions, particularly dangerous situations in chemical processing [4].  Before considering the design of a heating or cooling system to couple with a reactor, a few important questions should be asked[1].&lt;br /&gt;
&lt;br /&gt;
1. Can the reaction be carried out adiabatically?&lt;br /&gt;
&lt;br /&gt;
2. Can the feeds provide the required heating or cooling? Staged addition of feed can help alleviate the cost of adding a heat exchange network or heat transfer jacket.  Also consider adding an inert diluent or hot/cold shots [3].&lt;br /&gt;
&lt;br /&gt;
3. Would it be more cost effective to carry out the heat exchange outside of the reactor?&lt;br /&gt;
&lt;br /&gt;
4. Would it be more effective to carry out the reaction inside of a heat transfer device? If a reaction requires only a small volume or small quantities of catalyst, it may be possible to utilize a heat exchanger as a temperature controller and as a reaction location.&lt;br /&gt;
&lt;br /&gt;
5. Does the proposed design allow the process to be started up and shut down smoothly?&lt;br /&gt;
&lt;br /&gt;
6. Are there safety concerns with heating or cooling the reactor?&lt;br /&gt;
&lt;br /&gt;
After considering these aspects of the design, commercial design software such as HYSYS or UniSim can be utilized to estimate heating/cooling requirements. Once this is done, design of the heat exchange system can begin, with different reactor types and reactions requiring different design approaches[1].&lt;br /&gt;
&lt;br /&gt;
==Stirred Tank Reactors==&lt;br /&gt;
&lt;br /&gt;
Heating and cooling of a stirred tank reactor is done to ensure a uniform reaction temperature, so that there do not exist hot or cold spots within the reactor that can negatively affect selectivity[1]. &lt;br /&gt;
&lt;br /&gt;
For indirect heat transfer, there are three main alternatives: a heat transfer jacket, an internal coil, and an external heat transfer circuit. A jacket is utilized as long as there is sufficient heat transfer area for the heat exchange to take place. If this is not the case, coils are used, although the inclusion of a heating coil will significantly increase reactor volume and utility requirements, leading to a large increase in price for the reactor. External circuits contain a heat exchanger that will heat or cool the product stream as required and recycle this material to the reactor to control temperature. External circuits are useful because they can be designed independently of the reactor; sizing the required pumps and heat exchangers will not fundamentally change the activity of the reactor. For any of these choices, it should be ensure that no corrosion of the involved piping will occur, as utility streams bleeding into the reactor can have a very negative impact on the selectivity of the reaction and on the operation of the reactor on a whole[1].&lt;br /&gt;
&lt;br /&gt;
Some direct heat transfer alternatives also exist, as long the reaction in question is compatible with the addition of extra water. Steam can be pumped into the reactor to maintain temperature, which will eliminate the need to design heat transfer surfaces. However, steam injected into the system cannot be recovered, so this will lead to an increase in annual utility costs. Additionally, vapor will be produced if it did not exist previously, so reactors will need to be redesigned to accommodate a vapor removal system[1]. &lt;br /&gt;
&lt;br /&gt;
==Catalytic Reactors==&lt;br /&gt;
&lt;br /&gt;
===Slurry Reactors===&lt;br /&gt;
&lt;br /&gt;
Since slurry reactors already use a mix of solid catalyst and liquid reactants, any of the methods described in the Stirred Tank Reactors section can be applied to slurry reactors. It is not recommended to use internal coils in such a design, as reactor slurry will often corrode heat exchange material very easily[1].&lt;br /&gt;
&lt;br /&gt;
===Fixed-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Indirect heat transfer is not often utilized to control the temperature in fixed-bed reactors, as it hard to maintain uniform temperature across the radial section of the catalyst bed. In cases where temperature control is required, the reactor will be split into smaller sections. After each bed, there will be an heat transfer stage, where the product stream is heated or cooled as necessary and returned to the next catalytic segment[1]. &lt;br /&gt;
&lt;br /&gt;
===Fluidized-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Fluidized bed reactors have high heat-transfer coefficients, so indirect heat transfer is highly effective. The heat capacity of the solid catalyst particles can be used as a heat transfer medium themselves; heated catalyst contains a reaction location and the necessary heat to maintain the required temperature. Deactivated catalyst is heated during reactivation and recycle[1].&lt;br /&gt;
&lt;br /&gt;
==Heat Exchangers as Reactors==&lt;br /&gt;
&lt;br /&gt;
It is sometimes necessary to design a reactor as a heat transfer device, like when it is necessary to operate a reactor isothermally and there is a large heat of reaction. Some common situations include high-temperature endothermic reactions that quickly quench without continuous heat input and low-temperature exothermic reactions that must be kept at constant temperature to maintain selectivity. The most common heat transfer equipment used for reactions are shell and tube heat exchangers and fired heaters[1].&lt;br /&gt;
&lt;br /&gt;
===Homogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
If the reaction does not required a catalyst, than the heat transfer design is the same as a conventional heat transfer device, with some important changes in the thermal design. The usual heat exchanger equations will not apply to the design of a heat exchanger reactor due to the nonlinear behavior of the reaction rate with regards to temperature. In these cases, the usual practice of conservative temperature estimations will not aid in heat transfer design, as greater detail will be required to ensure the proper operation of the reactor. Detailed kinetic models should be developed before designing the internals of the heat transfer device[1].&lt;br /&gt;
&lt;br /&gt;
===Heterogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
The problems of designing for homogenous reactions still hold for heterogenous ones, with the added complication of solid catalyst beds. Catalyst can be loaded into the tubes of a shell and tube exchanger if the exchanger is mounted vertically and a suitable retaining screen is included at either end of the design. In this instance, hot catalyst can be reliably recycled and heat treated to reactivate the catalysts and reduce the presence of reactor hot spots. High-temperature endothermic reactions will be even more difficult to design for, as their heat requirements often exceed the amount provided by a heated catalyst. In these cases, a &amp;quot;tube in tube&amp;quot; design is utilized, where feed and catalyst are heated simultaneously by an external fired heater. This can be done as long as thermal expansion does not cause damage to the tubes, or else significant catalyst poisoning can occur. The same concerns as detailed in homogenous reactions will still apply for any design utilized for heterogenous ones, so it is again recommended to develop a detailed kinetic model before determining the amount of heat transfer required to maintain proper selectivity[1].&lt;br /&gt;
&lt;br /&gt;
=Safety Considerations in Reactor Design=&lt;br /&gt;
&lt;br /&gt;
Reactors require much attention to safety details in the design process due to the hazards they impose.  They are often the highest temperature point in the process, heat of reaction may be released, and residence times can be long leading to a large inventory of chemicals.  Guidelines exist for inherently safer design principles which seek to remove or reduce process hazards, limiting the impact of unforeseen events.  These design methods should be applied throughout the design process as part of good engineering practice; they cannot be retroactively added by a process safety specialist.  Some examples are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(table 15.16 in Towler)&lt;br /&gt;
&lt;br /&gt;
Exothermic reactions require special consideration due to their potential to runaway (temperature rises from heat of reaction being released, increasing reaction rate, releasing more heat, and so on).  The reactor must be designed such that temperature can be precisely controlled and the reaction shut down if temperature control is lost.  The use of solvents or inert species also allows for temperature control by adjusting heat capacity flow rate relative to rate of heat release from the reaction.  An additional safety feature would allow the reactor to be flooded with cold solvent or diluent.&lt;br /&gt;
&lt;br /&gt;
If there is a cooling system it should be designed to return the process to desired temperature if the maximum temperature is reached.  &lt;br /&gt;
&lt;br /&gt;
Venting and relief of reactors is complicated by the potential to keep reacting if containment is lost or material is discharged into the pressure relief system.  The relief system should be designed according to guidelines outlined in the Design Institute for Emergency Relief Systems (DIERS) methodology.  The reactor design team must understand the reaction mechanism and kinetics, including the role of any compounds which may accelerate the reaction.  Details may be found on the AIChE website, [http://www.aiche.org/diers here].&lt;br /&gt;
&lt;br /&gt;
=Capital Cost of Reactors=&lt;br /&gt;
&lt;br /&gt;
Reactors are classified as pressure vessels, and as such the pressure vessel design methods can be used to estimate wall thickness and thus determine capital cost.  Additional costs come from reactor internals or other equipment.  Jacketed stirred-tank reactors require more in depth analysis than that provided by pressure vessel design.  The wall of the reaction vessel may be in compression due to the jacket.  For preliminary cost estimating a correlation for jacketed stirred tank reactors operating at pressures below 20 bar can be used:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;C_e = a + b S^n&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;C_e&amp;lt;/math&amp;gt; is the purchased equipment cost on a U.S. Gulf Coast Basis, &amp;lt;math&amp;gt;a, b&amp;lt;/math&amp;gt; are cost constants, &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is the size parameter, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the exponent for that type of equipment.  Values for &amp;lt;math&amp;gt;a, b, S, n&amp;lt;/math&amp;gt; are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(Table 7.2 Towler)&lt;br /&gt;
&lt;br /&gt;
=Conclusions=&lt;br /&gt;
&lt;br /&gt;
The conversion of feed to products is the essence of a chemical process and, thus, the reactor is the heart of a chemical plant.  When designing a reactor, an engineer must first collect data about the chemical reaction and then select appropriate reaction conditions, which will help determine suitable materials of construction.  Next, the designer should determine the rate-limiting step and, from this, the critical sizing parameter. Next, preliminary sizing, layout, and costing can be conducted for the reactor.  At this point, simulations and experiments can be conducted to verify that the proposed reactor will meet the desired specifications.  The design is optimized until these targets are met.  Throughout the design process, it is important for the engineer to consider the most appropriate type of reactor to use, any mixing or heat transfer equipment that must be added, and safety considerations.&lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
# Towler, G.P. and Sinnot, R. (2012). &#039;&#039;Chemical Engineering Design: Principles, Practice and Economics of Plant and Process Design.&#039;&#039; Elsevier.&lt;br /&gt;
#Towler, G.P. (2012). &#039;&#039;Chemical Engineering Design&#039;&#039;, PowerPoint presentation.&lt;br /&gt;
#Seider, W.D. (2004). &#039;&#039;Process Design Principles: Synthesis, Analysis, and Evaluation&#039;&#039;, Wiley: New York.&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1045</id>
		<title>Reactors</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1045"/>
		<updated>2014-02-10T04:09:56Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* References */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Title: Reactors&lt;br /&gt;
&lt;br /&gt;
Author: Sean Cabaniss, David Park, Maxim Slivinsky and Julianne Wagoner&lt;br /&gt;
&lt;br /&gt;
Steward: Fengqi You&lt;br /&gt;
&lt;br /&gt;
Date Presented: February 4, 2014 &lt;br /&gt;
&lt;br /&gt;
&amp;lt;!-- Table of Contents --&amp;gt;&lt;br /&gt;
__TOC__&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
&lt;br /&gt;
The center of any chemical process is the reactor, where chemical reactions are carried out to transform feeds into products.  Reactor design is a vital step in the overall design of a process.  It is important to ensure that the equipment specified will be capable of achieving the desired yields and selectivity. &lt;br /&gt;
&lt;br /&gt;
==Ideal Reactors==&lt;br /&gt;
&lt;br /&gt;
===Batch Reactors===&lt;br /&gt;
&lt;br /&gt;
In a batch reactor, the reagents are added together and allowed to react for a given amount of time.  The compositions change with time, but there is no flow through the process.  Additional reagents may be added as the reaction proceeds, and changes in temperature may also be made.  Products are removed from the reactor after the reaction has proceeded to completion.&lt;br /&gt;
&lt;br /&gt;
Batch processes are suitable for small-scale production and for processes where several different products or grades are to be produced in the same equipment.  When production volumes are relatively small and/or the chemistry is relatively complex, batch processing provides an important means of quality control.&lt;br /&gt;
&lt;br /&gt;
===Plug Flow Reactor (PFR)===&lt;br /&gt;
&lt;br /&gt;
A PFR with tubular geometry has perfect radial mixing but no axial mixing.  All materials hav the same residence time, τ, and experience the same temperature and concentration profiles along the reactor.  Equation for PFR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;dM = \Re dV&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where M = molar flow rate, dV is the incremental volume, and &amp;lt;math&amp;gt;\Re&amp;lt;/math&amp;gt; is the rate of reaction per unit volume.&lt;br /&gt;
&lt;br /&gt;
This equation can be integrated along the length of the reactor to yield relationships between reactor resident time and concentration or conversion.&lt;br /&gt;
&lt;br /&gt;
===Continuously Stirred Tank Reactor (CSTR)===&lt;br /&gt;
&lt;br /&gt;
The stirred tank reactor models a large scale conventional laboratory flask and can be considered to be the basic chemical reactor.  In a CSTR, shown in Figure 1, there is no spatial variation- the entire vessel contents are at the same temperature, pressure, and concentration.  Therefore the fluid leaving the reactor is at the same temperature and concentration as the fluid inside the reactor.&lt;br /&gt;
&lt;br /&gt;
The material balance across the CSTR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;M_\text{in}-M_\text{out}= \Re V&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Some of the material the enters the reactor can leave immediately, while some leaves much later, so there is a broad distribution in residence time as shown in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:CSTR.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Continuously Stirred Tank Reactor [1]&lt;br /&gt;
&lt;br /&gt;
More information on stirred tanks can be found in the [[#Mixing in Industrial Reactors|Mixing]] section.&lt;br /&gt;
&lt;br /&gt;
=General Reactor Design=&lt;br /&gt;
&lt;br /&gt;
The design of the reactor should not be carried out separately from the overall process design due to the significant impact on capital and operating costs on other parts of the process[1].  &lt;br /&gt;
&lt;br /&gt;
==Step 1: Collect Required Data==&lt;br /&gt;
&lt;br /&gt;
Out of all process equipment, reactor design requires the most process input data: reaction enthalpies, phase-equilibrium constants, heat and mass transfer coefficients, as well as reaction rate constants.  All of the aforementioned parameters can be estimated using simulation models or literature correlations except for reaction rate constant constants, which need to be determined experimentally [1].&lt;br /&gt;
&lt;br /&gt;
===Enthalpy of Reaction===&lt;br /&gt;
&lt;br /&gt;
: The heat given out in a chemical reaction is based on the enthalpies of the component chemical reactions, which are given for standard temperature and pressure (1 atm, 25 C).  Values for standard heats of reaction can be found tabulated in literature, or can be calculated from heats of formation or combustion.  Care must be taken to quote the basis for the heat of reaction and the states of reactants and products.&lt;br /&gt;
&lt;br /&gt;
: The following equation is used to convert enthalpies from standard conditions to the process conditions:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,P,T} = \Delta H_\text{r}^{\circ} + &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: If the effect from pressure is not significant and only Temperature needs to be accounted for, the following equation should be used:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,T} = \Delta H_\text{r}^{\circ} + \Delta H_\text{prod.} + \Delta H_\text{react.}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Equilibrium Constant and Gibbs Free Energy===&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta G = -\mathbf{R} T \ln K &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: Where &amp;lt;math&amp;gt;\Delta G&amp;lt;/math&amp;gt; is the change in Gibbs free energy from the reaction at temperature &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;\mathbf{R}&amp;lt;/math&amp;gt; is the ideal gas constant, and &amp;lt;math&amp;gt;K&amp;lt;/math&amp;gt; is the reaction equilibrium constant, given by:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;K = \prod_{i=1}^n {a_i}^{\alpha_i} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: where &amp;lt;math&amp;gt;a_i&amp;lt;/math&amp;gt; is the activity of component i, &amp;lt;math&amp;gt;\alpha_i&amp;lt;/math&amp;gt; is the stoichiometric coefficient of component &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt;, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the total number of components.&lt;br /&gt;
&lt;br /&gt;
: Equilibrium constants can be found in the literature and are useful for evaluating the rates of forward and reverse reactions.  Care must be taken to the experimental design used for the literature equilibrium constants to make sure they are consistent with the conditions of the actual process reactor.  For more complicated reactions consisting of several sequential or simultaneous reactions, the equilibrium is found by minimizing the Gibbs free energy [1].  Commercial process simulation programs use the Gibbs reactor model in this way.  &lt;br /&gt;
&lt;br /&gt;
===Reaction Mechanisms, Rate Equations, and Rate Constants===&lt;br /&gt;
&lt;br /&gt;
: In most cases the main process reaction rate equations and rate constants cannot be predicted from first principles and must be approximated [1].  This is due to the following:&lt;br /&gt;
&lt;br /&gt;
* Use of heterogeneous catalysis or enzymes which lead to Langmuir-Hinshelwood-Hougen-Watson or Michaelis-Menten kinetics&lt;br /&gt;
* Mass transfer between vapor and liquid or two liquid phases&lt;br /&gt;
* Multistep mechanisms whose rate expressions do not follow overall reaction stoichiometry&lt;br /&gt;
* Competing side reactions&lt;br /&gt;
&lt;br /&gt;
: As a result the main process reaction is usually approximated as first- or second-order over a narrow range of process conditions (temperature, pressure, species concentrations) to estimate the residence time required for a target conversion.  Rate equations are always a fit for experimental data and should thus be used for interpolation within the data.  It is important to collect more data when extrapolating, especially for exothermic reactions which have the potential for runaway [1].&lt;br /&gt;
&lt;br /&gt;
===Heat and Mass Transfer Properties===&lt;br /&gt;
&lt;br /&gt;
====Heat Transfer====&lt;br /&gt;
:: The design of internal heating or cooling devices can be found in [https://processdesign.mccormick.northwestern.edu/index.php/Heat_Transfer_Equipment Heat Transfer Equipment].  Correlations for tube-side heat-transfer coefficients for catalyst-packed tubes of a heat exchanger are given below:&lt;br /&gt;
&lt;br /&gt;
:: For heating: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = .813 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.9} e^{-6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for cooling: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = 3.50 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.7} e^{-4.6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt; is the tube-side heat transfer coefficient for a packed tube, &amp;lt;math&amp;gt;d_t&amp;lt;/math&amp;gt; is the tube diameter, &amp;lt;math&amp;gt;\lambda_f&amp;lt;/math&amp;gt; is the fluid thermal conductivity, &amp;lt;math&amp;gt;\rho_f&amp;lt;/math&amp;gt; is the fluid density, &amp;lt;math&amp;gt;u&amp;lt;/math&amp;gt; is the superficial velocity, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the effective particle diameter, and &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the fluid viscosity.&lt;br /&gt;
&lt;br /&gt;
====Diffusion Coefficients====&lt;br /&gt;
&lt;br /&gt;
:: Diffusion coefficients are necessary when mass transfer can limit the rate of reaction, such as in catalytic reactions or reactions involving mass transfer processes such as gas absorption, distillation, and liquid-liquid extraction.  &lt;br /&gt;
&lt;br /&gt;
:: The diffusivity for gases can be estimated by the following correlation (Fuller, Schettler, Giddings):&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_v = \frac{1.013 \times 10^{-7} T^{1.75} {\left ( \frac{1}{M_a} + \frac{1}{M_b} \right )}^{1/2} }{P {\left [ {\left ( \sum_{a} v_i  \right )}^{1/3}  + {\left ( \sum_{b} v_i  \right )}^{1/3}  \right ]}^2  } &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_v&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is temperature, &amp;lt;math&amp;gt;M_a , M_b&amp;lt;/math&amp;gt; are the molecular masses of components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;P&amp;lt;/math&amp;gt; is the total pressure, and &amp;lt;math&amp;gt;\sum_{a} v_i , \sum_{b} v_i&amp;lt;/math&amp;gt; are the summation of special diffusion volume coefficients for components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, given in the table below:&lt;br /&gt;
&lt;br /&gt;
:: (volume coefficient table from towler)&lt;br /&gt;
&lt;br /&gt;
:: Wilke and Chang developed a correlation for estimating the diffusivity of components in the liquid phase:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_L =  \frac{1.173 \times 10^{-13} {(\phi M_w)}^{1/2} T}{\mu V_m^{.6}} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid diffusivity, &amp;lt;math&amp;gt;\phi&amp;lt;/math&amp;gt; is an association factor for the solvent, &amp;lt;math&amp;gt;M_w&amp;lt;/math&amp;gt; is the molecular mass of the solvent, &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the solvent viscosity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is the temperature, and &amp;lt;math&amp;gt;V_m&amp;lt;/math&amp;gt; is the molar volume of the solute at its boiling point.  This correlation holds for organic compounds in water but not for water in organic solvents.&lt;br /&gt;
&lt;br /&gt;
====Mass Transfer====&lt;br /&gt;
&lt;br /&gt;
:: For multiphase reactors it is necessary to estimate the mass transfer coefficient.  &lt;br /&gt;
&lt;br /&gt;
:: The equation of Gupta and Thodos predicts the mass transfer coefficient for a packed bed of particles:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac{k d_p}{D} = 2.06 \frac{1}{\epsilon} {Re}^{.425} {Sc}^{.33} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the particle diameter, &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;Re&amp;lt;/math&amp;gt; is the Reynolds number calculated using the superficial velocity through the bed, &amp;lt;math&amp;gt;Sc&amp;lt;/math&amp;gt; is the Schmidt number,  and &amp;lt;math&amp;gt;\epsilon&amp;lt;/math&amp;gt; is the bed void fraction.&lt;br /&gt;
&lt;br /&gt;
:: Mass transfer between vapor and liquid in an agitated vessel can be described by the Van&#039;t Riet equations:&lt;br /&gt;
&lt;br /&gt;
:: For air-water: &amp;lt;math&amp;gt; k_L a = 0.026 {\left ( \frac{P_a}{V_{liq}} \right )}^{.4} Q^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for air-water-electrolyte: &amp;lt;math&amp;gt; k_L a = 0.002 {\left ( \frac{P_a}{V_{liq}} \right )}^{.7} Q^{.2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k_L&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; is the interfacial area per unit volume, &amp;lt;math&amp;gt;Q&amp;lt;/math&amp;gt; is the gas volumetric flow rate, &amp;lt;math&amp;gt;V_{liq}&amp;lt;/math&amp;gt; is the liquid volume, and &amp;lt;math&amp;gt;P_a&amp;lt;/math&amp;gt; is the agitator power input.&lt;br /&gt;
&lt;br /&gt;
:: Fair&#039;s method for calculating the mass transfer coefficient for low viscosity systems is given by:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac {{(k_L a)}_{system}}{{(k_L a)}_{air-water}} = {\left ( \frac{D_{L,system}}{D_{L, air-water}} \right )}^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid phase diffusivity.  &lt;br /&gt;
&lt;br /&gt;
:: Mass transfer correlations for vapor-liquid systems should be used with caution when there are surfactants [1].&lt;br /&gt;
&lt;br /&gt;
==Step 2: Select Reaction Conditions==&lt;br /&gt;
&lt;br /&gt;
===Chemical or Biochemical Reaction===&lt;br /&gt;
&lt;br /&gt;
===Catalyst===&lt;br /&gt;
&lt;br /&gt;
===Temperature===&lt;br /&gt;
&lt;br /&gt;
===Pressure===&lt;br /&gt;
&lt;br /&gt;
===Reaction Phase===&lt;br /&gt;
&lt;br /&gt;
===Solvent===&lt;br /&gt;
&lt;br /&gt;
===Concentrations===&lt;br /&gt;
&lt;br /&gt;
==Step 3: Determine Materials of Construction==&lt;br /&gt;
&lt;br /&gt;
A preliminary analysis of the materials of construction for the reactor can be conducted after the reaction conditions have been specified.  Particularly important in this analysis are the temperatures and pressures the process will run at.  At extreme conditions, costly alloys may need to be used.  In addition, the designer must ensure that process streams will not react with materials used in process equipment.&lt;br /&gt;
&lt;br /&gt;
==Step 4: Determine Rate-Limiting Step and Critical Sizing Parameters==&lt;br /&gt;
&lt;br /&gt;
The key parameters that determine the extent of reaction must be identified by carrying out an experiment plan with a broad range of conditions.  In general, the rate of reaction is usually limited by the following fundamental processes.  The first three have been discussed in previous sections.  Mixing will be developed in more detail in its own section. &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Intrinsic kinetics:&#039;&#039;&#039; There will usually be one slowest step that governs the overall rate.&lt;br /&gt;
* &#039;&#039;&#039;Mass-transfer rate:&#039;&#039;&#039; In multiphase reactions and processes that use porous heterogeneous catalysis, mass transfer can be particularly important.  Often, careful experimentation will be needed to separate the effects of mass transfer and the rate of reaction to determine which is the rate-limiting step. &lt;br /&gt;
* &#039;&#039;&#039;Heat-transfer rate:&#039;&#039;&#039; The rate of heat addition can become the governing parameter for endothermic reactions.  Heat-transfer devices such as heat exchangers or fired heaters may need to be used.&lt;br /&gt;
* &#039;&#039;&#039;Mixing:&#039;&#039;&#039; The time taken to mix the reagents can be the limiting step for very fast reactions.&lt;br /&gt;
&lt;br /&gt;
Once rate data have been collected, the designer can fit a suitable model of reaction kinetics.  Next, a critical sizing parameter can be specified for the reactor.  This will usually be one of the parameters given in Figure 1.  &lt;br /&gt;
&lt;br /&gt;
:: [[File:Sizing_Parameters.PNG]]&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;i&amp;gt;Figure 1&amp;lt;/i&amp;gt;. Reactor Sizing Parameters [1]&lt;br /&gt;
&lt;br /&gt;
==Step 5: Preliminary Sizing, Layout, and Costing of Reactor==&lt;br /&gt;
&lt;br /&gt;
The designer can estimate the reactor and catalyst volume from the sizing parameter.  This calculation will yield a value for the active reacting volume necessary.  Clearly, the actual reactor will need additional space.  The geometry of the reactor will depend on the desired flow pattern and mixing requirements [1].  The cost of most reactors can be estimated by determining the cost of a pressure vessel with the same dimensions and adding in the cost of the internals [1].&lt;br /&gt;
&lt;br /&gt;
==Step 6: Estimate Reactor Performance==&lt;br /&gt;
&lt;br /&gt;
At this point in the design process, it is important to verify that the proposed reactor will achieve the target conversions and selectivities.  A combination of experimental methods, such as pilot plants, and computer simulations can be used to predict the full-scale reactor performance.&lt;br /&gt;
&lt;br /&gt;
==Step 7: Optimize the Design==&lt;br /&gt;
&lt;br /&gt;
The reactor is typically a relatively small fraction of the total capital cost [1], so minimal time should be devoted to optimization to reduce the reactor cost.  However, if the target conversion, yields, and selectivities are not met, the process economics could be significantly impacted.  Therefore, steps 2 to 6 should be repeated at least until the minimum specifications are met [1].&lt;br /&gt;
&lt;br /&gt;
=Mixing in Industrial Reactors=&lt;br /&gt;
&lt;br /&gt;
Mixing plays an important role in many processing stages, including reactor performance.  It is critical to select the appropriate method of mixing in order to ensure the process produces the desired process yields, product purity, and cost effectiveness.  &lt;br /&gt;
&lt;br /&gt;
Correlations such as the Reynolds number can be used to determine the extent of mixing and correlate power consumption and heat transfer to the reactor shell [2].  In some cases, simple correlations may not be adequate:&lt;br /&gt;
* If dead zones cannot be tolerated for reasons of product purity, safety, 	etc.&lt;br /&gt;
* If reactor internals are complex&lt;br /&gt;
* If reaction selectivity is very sensitive to mixing&lt;br /&gt;
In these cases, it is usually necessary to carry out a more sophisticated analysis of mixing:&lt;br /&gt;
* Use computational fluid dynamics to model the reactor &lt;br /&gt;
* Use physical modeling (“cold flow”) experiments&lt;br /&gt;
* Use tomography methods to look at performance of real reactor&lt;br /&gt;
&lt;br /&gt;
==Gas Mixing==&lt;br /&gt;
Gases mix easily because of their low viscosities.  The mixing given by turbulent flow in a length of pipe is usually sufficient for most purposes [1].  Orifices, vanes, and baffles can be used to increase turbulence.  &lt;br /&gt;
&lt;br /&gt;
==Liquid Mixing==&lt;br /&gt;
*&#039;&#039;&#039;Inline Mixing&#039;&#039;&#039; Inline mixers can be used for the continuous mixing of low-viscosity fluids.  One inexpensive method involves the use of static devices that promote turbulent mixing in pipelines.  Some typical designs are shown in Figures 2(a), (b), and (c).&lt;br /&gt;
&lt;br /&gt;
::[[File:Static_Mixers.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 2.&#039;&#039; Inline mixers: (a) tee; (b) injection; (c) annular [1]&lt;br /&gt;
&lt;br /&gt;
:: When mixing low viscosity fluids (&amp;lt;50 mNs/m&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) with similar densities and flow rates, a simple mixing tee, Figure 2(a), followed by a length of pipe equal to 10 to 20 pipe diameters, is suitable [1].&lt;br /&gt;
:: When one flow is much lower than the other, an injection mixer, Figure 2(b&amp;amp;c), should be used.  A satisfactory blend will be achieved in about 80 pipe diameters [1].  Baffles or other flow restrictions can be used to reduce the mixing length required.  These mixers work by introducing one fluid into the flowing stream of the other through a concentric pipe or an annular array of jets [1].&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;Stirred Tanks&#039;&#039;&#039;  Stirred tanks were discussed in the [[#Ideal Reactors|Ideal Reactors]] section.  Mixing is conducted by an impeller mounted on a shaft driven by a motor.  The reactor usually contains baffles or other internals to induce turbulence and prevent the contents from swirling and creating a vortex.  Typically, baffles are 1/10 of diameter and located 1/20 of diameter from wall [2].  A typical arrangement of agitator and baffles in a stirred tank, and the flow pattern generated, is shown in Figure 3.  Mixing occurs through the bulk flow of the liquid and by the motion of the turbulent eddies created by the agitator.  Bulk flow is the predominant mixing mechanism required for the blending of miscible liquids and for solids suspension. Turbulent mixing is important in operations involving mass and heat transfer, which can be considered as shear-controlled processes [1].  &lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Arrangements.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 3.&#039;&#039; Agitator arrangements and flow patterns [1]&lt;br /&gt;
&lt;br /&gt;
:At high Reynolds numbers (low viscosity), one of the three basic types of impeller shown in Figure 4 should be used.  For processes controlled by turbulent mixing, the flat-bladed (Rushton) turbines are appropriate.  For bulk mixing, the propeller and pitched-bladed turbines are appropriate [1]. &lt;br /&gt;
&lt;br /&gt;
::[[File:Impeller_Types.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 4.&#039;&#039; Basic impeller types [1]&lt;br /&gt;
&lt;br /&gt;
:For more viscous fluids, paddle, anchor, and helical ribbon agitators (Figures 5(a), (b), and (c)), are used [1].  The selection chart given in Figure 6 can be used to make a preliminary selection of the agitator type, based on the liquid viscosity and tank volume [1].&lt;br /&gt;
&lt;br /&gt;
::[[File:Low_Speed_Agitators.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 5.&#039;&#039; Low-speed agitators [1]&lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Selection_Guide.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 6.&#039;&#039; Agitator selection guide [1]&lt;br /&gt;
&lt;br /&gt;
==Gas-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Gases can be mixed into liquids using the inline mixing or stirred tank methods discussed previously.  A special type of gas injector, called a sparger (shown in Figure 7) can also be used.  This is a long injection tube with multiple holes drilled in it.  &lt;br /&gt;
&lt;br /&gt;
[[File:Gas_Sparger.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 7.&#039;&#039; Gas sparger [1]&lt;br /&gt;
&lt;br /&gt;
A small flow of liquid can be dispersed into a gas stream using a spray nozzle (Figure 8).&lt;br /&gt;
&lt;br /&gt;
[[File:Liquid_Injection.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 8.&#039;&#039; Liquid injection into gas [1]&lt;br /&gt;
&lt;br /&gt;
==Solid-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Solids are usually added to a liquid in a stirred tank at atmospheric pressure.  In order to allow more accurate control of dissolved solid concentration, mixing of solids and liquids is often carried out as a batch operation [1].&lt;br /&gt;
&lt;br /&gt;
=Types of Reactors=&lt;br /&gt;
&lt;br /&gt;
Most reactors used in industry approximate the ideal batch reactor, PFR, or CSTR.  In fact, real reactors can be modeled as networks or combinations of multiple plug-flow and stirred-tank reactors [1]. Examples of real reactors that approximate the flow pattern of ideal reactors are shown in Figure 10.  These reactors will be discussed in more detail in the following sections.&lt;br /&gt;
&lt;br /&gt;
[[File:Types_of_Reactors.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 10.&#039;&#039; Ideal reactors and some real reactors that approximate the same flow pattern [1]&lt;br /&gt;
&lt;br /&gt;
==Vapor-Liquid Reactors==&lt;br /&gt;
&lt;br /&gt;
Vapor-liquid reactions are important in many chemical processes.  For example, oxygenation and hydrogenation reactions are usually carried out with the organic component in the liquid phase [1].  A summary of common goals for vapor-liquid reactors and the reactors used to achieve those goals is shown in Table 1.&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Goal !! Types of Vapor-Liquid Reactors !! Examples&lt;br /&gt;
|-&lt;br /&gt;
| Maintain low concentration of gas component in liquid || &lt;br /&gt;
* Sparged stirred tank reactor&lt;br /&gt;
* Sparged tubular reactor&lt;br /&gt;
 || &lt;br /&gt;
* Liquid phase oxidations using air&lt;br /&gt;
* Fermenters&lt;br /&gt;
|-&lt;br /&gt;
| Contact gas and liquid over catalyst || &lt;br /&gt;
* Trickle bed reactor &lt;br /&gt;
*Slurry phase reactor &lt;br /&gt;
|| &lt;br /&gt;
* Catalytic hydrogenation&lt;br /&gt;
|-&lt;br /&gt;
| React a component out of the gas phase to high conversion || &lt;br /&gt;
* Multi-stage V/L contactor (reactive absorption column) &lt;br /&gt;
* Venturi scrubber &lt;br /&gt;
|| &lt;br /&gt;
*Chemisorption &lt;br /&gt;
*Acid gas scrubbing&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 1.&#039;&#039; Summary of Vapor-Liquid Reactors [2]&lt;br /&gt;
&lt;br /&gt;
If the residence time requirements are short enough, vapor-liquid contacting columns are preferred because of the high area for mass transfer.  Trayed or packed columns can be used to contact vapor and liquid for reaction.  The column packing may be catalytically active or could be inert packing [2].  Please see the [[separation processes]] section of this website for more information on the types of processes used for the third goal listed.  &lt;br /&gt;
&lt;br /&gt;
Stirred tanks or tubular reactors are used when long residence time is needed for the liquid phase [1].  These types of reactors and more will be discussed in the [[#Catalytic Processes|catalytic processes]] section of this page.&lt;br /&gt;
&lt;br /&gt;
The reactors listed under the first goal in the table are unique to vapor-liquid processes.  The basic concept of a sparger was discussed in the [[#Mixing in Industrial Reactors|mixing]] section.  Sparged reactors are shown in Figure 11. &lt;br /&gt;
&lt;br /&gt;
[[File:Sparged_Reactors.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 11.&#039;&#039; Sparged stirred tank and tubular reactors [2]&lt;br /&gt;
&lt;br /&gt;
The gas is bubbled up through the liquid in a sparged reactor.  For smaller bubbles, a porous pipe diffuser can be used instead [2].  The designer must allow some disengaging space at the top of the reactor, or entrainment will be excessive.  If the gas flow rate is large then the gas flow can be used as the primary means of agitation.  Perry&#039;s Handbook suggests the following air rates (ft&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/ft&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;min) for agitating an open tank full of water at 1 atm:&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Degree of agitation !! Liquid depth 9 ft !! Liquid depth 3 ft&lt;br /&gt;
|-&lt;br /&gt;
| Moderate || 0.65 || 1.3&lt;br /&gt;
|-&lt;br /&gt;
| Complete || 1.3 || 2.6&lt;br /&gt;
|-&lt;br /&gt;
| Violent || 3.1 || 6.2&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 2.&#039;&#039; Summary of suggested flow rates for gas flow as agitation [2]&lt;br /&gt;
&lt;br /&gt;
==Catalytic Processes==&lt;br /&gt;
A catalyst increases the rate of a chemical reaction without itself becoming permanently changed by the reaction.  Catalysts allow reactions to be run in smaller reactors and operated at lower temperatures and improve selectivity.  Therefore, catalysts will almost always lead to a more economically attractive process than a noncatalytic route.  [1]  Catalysts are normally selected based on performance rather than price since increases catalysts selectivity will almost always quickly pay back any price premium expected by the manufacturer.  It is important to test the catalysts under conditions that are representative of process conditions [1].  &lt;br /&gt;
&lt;br /&gt;
Catalyst activity often deteriorates over time [2].  Common causes of deactivation include:&lt;br /&gt;
* Poisoning by components in feed (e.g. base destroys acid catalyst)&lt;br /&gt;
* Blockage of pores or active sites by byproducts such as coke&lt;br /&gt;
* Thermal or hydrothermal modification of catalyst structure&lt;br /&gt;
Slow activity loss can be compensated by:&lt;br /&gt;
* Putting in more catalyst (lower space velocity)&lt;br /&gt;
* Slowly raising reactor temperature&lt;br /&gt;
Rapid activity loss may require moving the catalyst to a continuous regeneration zone [2].&lt;br /&gt;
&lt;br /&gt;
Catalytic reactions can be either homogenous (catalyst is in the same phase as the reagents) or heterogeneous (catalyst is not in the same phase as the reagents).&lt;br /&gt;
&lt;br /&gt;
===Homogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
:Homogeneous catalysis can be conducted in the basic batch reactors, PFRs, or CSTRs that have already been discussed.  However, when the catalyst is in the same phase as the reagent, recovering this catalyst after the reaction can be difficult and expensive, particularly if the catalyst is sensitive to high temperatures [2].  Providing adequate interfacial area is also a challenge of homogeneous catalysis.  A reaction often only occurs at the interface or in the boundary layer between the catalyst and the reagents.  Increased mixing can increase the rate and selectivity of the reaction, but this can require detailed and expensive mixing equipment [2].  For these reasons, reactions requiring homogenous catalysts are not usually used unless an easy separation can be found to recover the catalyst.&lt;br /&gt;
&lt;br /&gt;
===Heterogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
: Catalyst recovery in processes involving heterogeneous catalysis is much easier.  However, the rate of reaction is limited by the available inter-phase surface area and the mass transfer of reagents and products to and from the interface [2].  Therefore, reactors for these processes are design to reduce these limitations.&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Fixed Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: In a fixed-bed reactor, the reagent flows over a stationary bed of packed catalyst [1].  This is the most common type of reactor used for heterogeneous catalysis as long as the catalyst does not require continuous regeneration and the reaction mixture does not require high agitation [2].  The amount of catalyst necessary can be found using the following equations:&lt;br /&gt;
&lt;br /&gt;
::[[File:Catalyst_Calcs.png]]&lt;br /&gt;
&lt;br /&gt;
:: The ratio of the bed height (L) to the diameter (D) determines the distribution of reagents and the pressure drop across the bed.  An increased L/D ratio creates a more even distribution and less change of localized deactivation or &amp;quot;hot spots.&amp;quot;  However, increasing the L/D ratio increases the pressure drop, requiring higher compression and pumping costs [2].  The Ergun equation can be used to calculate the pressure drop in packed beds. &lt;br /&gt;
&lt;br /&gt;
:: [[File:Ergun.png]]&lt;br /&gt;
&lt;br /&gt;
::Where V is the superficial velocity (volume flowrate divided by cross-sectional area), μ is the viscosity, D&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; is the particle diameter and ε is the porosity of the packed bed [2]. Given these trade-offs, it may make sense to split the catalyst over several beds [2].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Radial Flow Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: When there is very little pressure drop available, the L/D ratio must be much less that one [2].  A common solution to this is to use a radial flow reactor with the catalyst contained in an annulus between vertical perforated or slotted screens.  The fluid flows radially through the bed and the direction of flow can be either inwards or outwards [1].  An example of a radial flow reactor is shown in Figure 12.&lt;br /&gt;
&lt;br /&gt;
:: [[File:Radial_flow.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 12.&#039;&#039; Radial flow reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Moving Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: A moving bed reactor is similar to a radial flow reactor, but the catalyst is moved through the annular space [2].&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Fluidized Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: If the fluid flow is up through the catalyst bed then the bed can become fluidized if the pressure drop is high enough to support the weight of the catalyst.  Fluidized beds usually have a lower pressure drop than down flow at high flow rates [2].  In addition, fluidizing the catalyst eases the transition from one reaction zone to another.&lt;br /&gt;
&lt;br /&gt;
:: The catalyst bed is fluidized using a distributor to inject fluidization fluid, which is not necessarily the feed.  Fluidization occurs when the bed pressure drop balances the weight of the particles, or &lt;br /&gt;
&lt;br /&gt;
::[[File:Fluid_Eqn.png]]&lt;br /&gt;
&lt;br /&gt;
::Where ∆P is the pressure drop, ρ&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; and ρ&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; are the densities of the particle and gas respectively, ε&amp;lt;sub&amp;gt;m&amp;lt;/sub&amp;gt; is the porosity at minimum fluidization, and L is the height of the bed [2].  Fluidization can only be used with relatively small sized particles (&amp;lt;300 micrometers with gases).  The solid material must be strong enough to withstand attrition in the fluidized bed and cheap enough to allow for make-up to replace attrition losses [1].  A fluidized-bed reactors must also make allowance for separating the fluid-phase product from entrained solids so that solids are not carried out of the reactor [1].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Trickle Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Trickle bed reactors are used when all three phases are involved in the reaction.  They must ensure good distribution of both the vapor and the liquid, without channeling of either phase [2].  In a trickle bed reactor, the liquid flows down over the surface of a stationary bed of solids.  The gas phase usually also flows downwards with the liquid, but countercurrent flow is feasible as long as flooding conditions are avoided [1].  This requires a more sophisticated distributor like those used for packed distillation columns [2].  An example of a trickle bed reactor is shown in Figure 13.&lt;br /&gt;
&lt;br /&gt;
::[[File:trickle_bed.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 13.&#039;&#039; Example of trickle bed reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Slurry Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
::Liquid is mixed up in the liquid in slurry phase reactions.  Slurry reactors are prone to attrition of the solids, caused by pumping or agitation of the liquid [1].  Slurry-phase operation is usually not preferred for processes that use heterogeneous catalysts because the catalyst tends to become eroded and can be difficult to recover from the liquid [1].&lt;br /&gt;
&lt;br /&gt;
==Bioreactors==&lt;br /&gt;
&lt;br /&gt;
Bioreactors have requirements that add complexity compared to simpler chemical reactors.  These reactions often are three-phase (cells, water, and air), need sterile operation, and require heat removal [2].  However, biological systems have the following advantages:&lt;br /&gt;
* Some products can only be made by biological routes&lt;br /&gt;
* Large molecules such as proteins can be made&lt;br /&gt;
* Selectivity for desired product can be very high&lt;br /&gt;
* Products are often very valuable &lt;br /&gt;
&lt;br /&gt;
===Enzyme Catalysis===&lt;br /&gt;
&lt;br /&gt;
Enzymes are the biological equivalent of catalysts.  They can sometimes be isolated from host cells. They are usually proteins and, therefore, most are thermally unstable above ~60 degrees Celsius and active only in water at a restricted pH [2].  Enzymes can sometimes be absorbed onto a solid or encapsulated in a gel without losing their structure.  In this case, they can be used in a conventional fixed bed reactor.  Typically, homogenous reactions are carried out in batch reactors.&lt;br /&gt;
&lt;br /&gt;
===Cell Growth===&lt;br /&gt;
&lt;br /&gt;
Cell growth goes through several phases during a batch, shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
[[File:Cell_Growth_Rate.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 15.&#039;&#039; Cell growth and product formation in batch fermentation [1]&lt;br /&gt;
&lt;br /&gt;
* I: Innoculation: slow growth while cells adapt to new environment&lt;br /&gt;
* II: Exponential growth: growth rate proportional to cell mass&lt;br /&gt;
* III: Slow growth as substrate or other factors begin to limit rate&lt;br /&gt;
* IV: Stationary phase: cell growth rate and death rate are equal&lt;br /&gt;
* V: Decline phase: cells die or sporulate, often caused by product build-up&lt;br /&gt;
&lt;br /&gt;
Intracellular product accumulation is slow at first because there are a limited number of cells [2].  However, it is important to note that product accumulation continue even after the live cell count falls, since dead cells still contain product.&lt;br /&gt;
&lt;br /&gt;
The growth rate of cells can be limited by factors such as:&lt;br /&gt;
* The availability of the primary subtrate&lt;br /&gt;
** Typically glucose, fructose, sucrose, or other carbohydrate&lt;br /&gt;
* The availability of other metabolites&lt;br /&gt;
** Vitamins, minerals, hormones, or enzyme cofactors&lt;br /&gt;
* The availability of oxygen&lt;br /&gt;
* Mass transfer properties of the reaction system&lt;br /&gt;
* Inhibition or poisoning by products or byproducts&lt;br /&gt;
* High temperature caused by inadequate heat removal&lt;br /&gt;
&lt;br /&gt;
All of these factors are exacerbated at higher cell concentrations [2].  Clearly, biological reactions must be carefully controlled.  An addition complication in dealing with biological reactions is that the product formation is often not closedly tied to the rate of consumption of the substrate [2].  This is because of the fact that the product may be made by the cells at a relatively low concentration and the fact that some cell metabolic processes may not be involved in formation of the desired product [2].&lt;br /&gt;
&lt;br /&gt;
===Types of Bioreactors===&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Stirred Tank Fermenter&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: The stirred tank fermenter is the most common reactor used for biological reactions [2] and is similar to the stirred tanks discussed previously.  It can be used in both batch and continuous mode.  Figure 14 shows a stirred tank fermenter.&lt;br /&gt;
&lt;br /&gt;
::[[File:Fermentation.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 14.&#039;&#039; Fermentation reactor [1]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Shaftless Bioreactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Shaftless bioreactors are used when the pump shaft seal is considered a non-permissible source of contamination.  These reactors use gas flow to provide agitation of the liquid.  The design requires careful attention to hydraulics [2].  Examples of shaftless bioreactors are shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
::[[File:Shaftless.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 15.&#039;&#039; Examples of shaftless bioreactors [2]&lt;br /&gt;
&lt;br /&gt;
=Heating and Cooling of Reacting Systems=&lt;br /&gt;
&lt;br /&gt;
Exothermic and endothermic reactions will require reactors with heat control systems to prevent operating conditions from falling out of the desired range. Before considering the design of a heating or cooling system to couple with a reactor, a few important questions should be asked[1].&lt;br /&gt;
&lt;br /&gt;
1. Can the reaction be carried out adiabatically?&lt;br /&gt;
&lt;br /&gt;
2. Can the feeds provide the required heating or cooling? Staged addition of feed can help alleviate the cost of adding a heat exchange network or heat transfer jacket.  Also consider adding an inert diluent or hot/cold shots [3].&lt;br /&gt;
&lt;br /&gt;
3. Would it be more cost effective to carry out the heat exchange outside of the reactor?&lt;br /&gt;
&lt;br /&gt;
4. Would it be more effective to carry out the reaction inside of a heat transfer device? If a reaction requires only a small volume or small quantities of catalyst, it may be possible to utilize a heat exchanger as a temperature controller and as a reaction location.&lt;br /&gt;
&lt;br /&gt;
5. Does the proposed design allow the process to be started up and shut down smoothly?&lt;br /&gt;
&lt;br /&gt;
6. Are there safety concerns with heating or cooling the reactor?&lt;br /&gt;
&lt;br /&gt;
After considering these aspects of the design, commercial design software such as HYSYS or UniSim can be utilized to estimate heating/cooling requirements. Once this is done, design of the heat exchange system can begin, with different reactor types and reactions requiring different design approaches[1].&lt;br /&gt;
&lt;br /&gt;
==Stirred Tank Reactors==&lt;br /&gt;
&lt;br /&gt;
Heating and cooling of a stirred tank reactor is done to ensure a uniform reaction temperature, so that there do not exist hot or cold spots within the reactor that can negatively affect selectivity[1]. &lt;br /&gt;
&lt;br /&gt;
For indirect heat transfer, there are three main alternatives: a heat transfer jacket, an internal coil, and an external heat transfer circuit. A jacket is utilized as long as there is sufficient heat transfer area for the heat exchange to take place. If this is not the case, coils are used, although the inclusion of a heating coil will significantly increase reactor volume and utility requirements, leading to a large increase in price for the reactor. External circuits contain a heat exchanger that will heat or cool the product stream as required and recycle this material to the reactor to control temperature. External circuits are useful because they can be designed independently of the reactor; sizing the required pumps and heat exchangers will not fundamentally change the activity of the reactor. For any of these choices, it should be ensure that no corrosion of the involved piping will occur, as utility streams bleeding into the reactor can have a very negative impact on the selectivity of the reaction and on the operation of the reactor on a whole[1].&lt;br /&gt;
&lt;br /&gt;
Some direct heat transfer alternatives also exist, as long the reaction in question is compatible with the addition of extra water. Steam can be pumped into the reactor to maintain temperature, which will eliminate the need to design heat transfer surfaces. However, steam injected into the system cannot be recovered, so this will lead to an increase in annual utility costs. Additionally, vapor will be produced if it did not exist previously, so reactors will need to be redesigned to accommodate a vapor removal system[1]. &lt;br /&gt;
&lt;br /&gt;
==Catalytic Reactors==&lt;br /&gt;
&lt;br /&gt;
===Slurry Reactors===&lt;br /&gt;
&lt;br /&gt;
Since slurry reactors already use a mix of solid catalyst and liquid reactants, any of the methods described in the Stirred Tank Reactors section can be applied to slurry reactors. It is not recommended to use internal coils in such a design, as reactor slurry will often corrode heat exchange material very easily[1].&lt;br /&gt;
&lt;br /&gt;
===Fixed-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Indirect heat transfer is not often utilized to control the temperature in fixed-bed reactors, as it hard to maintain uniform temperature across the radial section of the catalyst bed. In cases where temperature control is required, the reactor will be split into smaller sections. After each bed, there will be an heat transfer stage, where the product stream is heated or cooled as necessary and returned to the next catalytic segment[1]. &lt;br /&gt;
&lt;br /&gt;
===Fluidized-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Fluidized bed reactors have high heat-transfer coefficients, so indirect heat transfer is highly effective. The heat capacity of the solid catalyst particles can be used as a heat transfer medium themselves; heated catalyst contains a reaction location and the necessary heat to maintain the required temperature. Deactivated catalyst is heated during reactivation and recycle[1].&lt;br /&gt;
&lt;br /&gt;
==Heat Exchangers as Reactors==&lt;br /&gt;
&lt;br /&gt;
It is sometimes necessary to design a reactor as a heat transfer device, like when it is necessary to operate a reactor isothermally and there is a large heat of reaction. Some common situations include high-temperature endothermic reactions that quickly quench without continuous heat input and low-temperature exothermic reactions that must be kept at constant temperature to maintain selectivity. The most common heat transfer equipment used for reactions are shell and tube heat exchangers and fired heaters[1].&lt;br /&gt;
&lt;br /&gt;
===Homogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
If the reaction does not required a catalyst, than the heat transfer design is the same as a conventional heat transfer device, with some important changes in the thermal design. The usual heat exchanger equations will not apply to the design of a heat exchanger reactor due to the nonlinear behavior of the reaction rate with regards to temperature. In these cases, the usual practice of conservative temperature estimations will not aid in heat transfer design, as greater detail will be required to ensure the proper operation of the reactor. Detailed kinetic models should be developed before designing the internals of the heat transfer device[1].&lt;br /&gt;
&lt;br /&gt;
===Heterogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
The problems of designing for homogenous reactions still hold for heterogenous ones, with the added complication of solid catalyst beds. Catalyst can be loaded into the tubes of a shell and tube exchanger if the exchanger is mounted vertically and a suitable retaining screen is included at either end of the design. In this instance, hot catalyst can be reliably recycled and heat treated to reactivate the catalysts and reduce the presence of reactor hot spots. High-temperature endothermic reactions will be even more difficult to design for, as their heat requirements often exceed the amount provided by a heated catalyst. In these cases, a &amp;quot;tube in tube&amp;quot; design is utilized, where feed and catalyst are heated simultaneously by an external fired heater. This can be done as long as thermal expansion does not cause damage to the tubes, or else significant catalyst poisoning can occur. The same concerns as detailed in homogenous reactions will still apply for any design utilized for heterogenous ones, so it is again recommended to develop a detailed kinetic model before determining the amount of heat transfer required to maintain proper selectivity[1].&lt;br /&gt;
&lt;br /&gt;
=Safety Considerations in Reactor Design=&lt;br /&gt;
&lt;br /&gt;
Reactors require much attention to safety details in the design process due to the hazards they impose.  They are often the highest temperature point in the process, heat of reaction may be released, and residence times can be long leading to a large inventory of chemicals.  Guidelines exist for inherently safer design principles which seek to remove or reduce process hazards, limiting the impact of unforeseen events.  These design methods should be applied throughout the design process as part of good engineering practice; they cannot be retroactively added by a process safety specialist.  Some examples are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(table 15.16 in Towler)&lt;br /&gt;
&lt;br /&gt;
Exothermic reactions require special consideration due to their potential to runaway (temperature rises from heat of reaction being released, increasing reaction rate, releasing more heat, and so on).  The reactor must be designed such that temperature can be precisely controlled and the reaction shut down if temperature control is lost.  The use of solvents or inert species also allows for temperature control by adjusting heat capacity flow rate relative to rate of heat release from the reaction.  An additional safety feature would allow the reactor to be flooded with cold solvent or diluent.&lt;br /&gt;
&lt;br /&gt;
If there is a cooling system it should be designed to return the process to desired temperature if the maximum temperature is reached.  &lt;br /&gt;
&lt;br /&gt;
Venting and relief of reactors is complicated by the potential to keep reacting if containment is lost or material is discharged into the pressure relief system.  The relief system should be designed according to guidelines outlined in the Design Institute for Emergency Relief Systems (DIERS) methodology.  The reactor design team must understand the reaction mechanism and kinetics, including the role of any compounds which may accelerate the reaction.  Details may be found on the AIChE website, [http://www.aiche.org/diers here].&lt;br /&gt;
&lt;br /&gt;
=Capital Cost of Reactors=&lt;br /&gt;
&lt;br /&gt;
Reactors are classified as pressure vessels, and as such the pressure vessel design methods can be used to estimate wall thickness and thus determine capital cost.  Additional costs come from reactor internals or other equipment.  Jacketed stirred-tank reactors require more in depth analysis than that provided by pressure vessel design.  The wall of the reaction vessel may be in compression due to the jacket.  For preliminary cost estimating a correlation for jacketed stirred tank reactors operating at pressures below 20 bar can be used:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;C_e = a + b S^n&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;C_e&amp;lt;/math&amp;gt; is the purchased equipment cost on a U.S. Gulf Coast Basis, &amp;lt;math&amp;gt;a, b&amp;lt;/math&amp;gt; are cost constants, &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is the size parameter, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the exponent for that type of equipment.  Values for &amp;lt;math&amp;gt;a, b, S, n&amp;lt;/math&amp;gt; are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(Table 7.2 Towler)&lt;br /&gt;
&lt;br /&gt;
=Conclusions=&lt;br /&gt;
&lt;br /&gt;
The conversion of feed to products is the essence of a chemical process and, thus, the reactor is the heart of a chemical plant.  When designing a reactor, an engineer must first collect data about the chemical reaction and then select appropriate reaction conditions, which will help determine suitable materials of construction.  Next, the designer should determine the rate-limiting step and, from this, the critical sizing parameter. Next, preliminary sizing, layout, and costing can be conducted for the reactor.  At this point, simulations and experiments can be conducted to verify that the proposed reactor will meet the desired specifications.  The design is optimized until these targets are met.  Throughout the design process, it is important for the engineer to consider the most appropriate type of reactor to use, any mixing or heat transfer equipment that must be added, and safety considerations.&lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
# Towler, G.P. and Sinnot, R. (2012). &#039;&#039;Chemical Engineering Design: Principles, Practice and Economics of Plant and Process Design.&#039;&#039; Elsevier.&lt;br /&gt;
#Towler, G.P. (2012). &#039;&#039;Chemical Engineering Design&#039;&#039;, PowerPoint presentation.&lt;br /&gt;
#Seider, W.D. (2004). &#039;&#039;Process Design Principles: Synthesis, Analysis, and Evaluation&#039;&#039;, Wiley: New York.&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1044</id>
		<title>Reactors</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1044"/>
		<updated>2014-02-10T04:07:59Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Heating and Cooling of Reacting Systems */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Title: Reactors&lt;br /&gt;
&lt;br /&gt;
Author: Sean Cabaniss, David Park, Maxim Slivinsky and Julianne Wagoner&lt;br /&gt;
&lt;br /&gt;
Steward: Fengqi You&lt;br /&gt;
&lt;br /&gt;
Date Presented: February 4, 2014 &lt;br /&gt;
&lt;br /&gt;
&amp;lt;!-- Table of Contents --&amp;gt;&lt;br /&gt;
__TOC__&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
&lt;br /&gt;
The center of any chemical process is the reactor, where chemical reactions are carried out to transform feeds into products.  Reactor design is a vital step in the overall design of a process.  It is important to ensure that the equipment specified will be capable of achieving the desired yields and selectivity. &lt;br /&gt;
&lt;br /&gt;
==Ideal Reactors==&lt;br /&gt;
&lt;br /&gt;
===Batch Reactors===&lt;br /&gt;
&lt;br /&gt;
In a batch reactor, the reagents are added together and allowed to react for a given amount of time.  The compositions change with time, but there is no flow through the process.  Additional reagents may be added as the reaction proceeds, and changes in temperature may also be made.  Products are removed from the reactor after the reaction has proceeded to completion.&lt;br /&gt;
&lt;br /&gt;
Batch processes are suitable for small-scale production and for processes where several different products or grades are to be produced in the same equipment.  When production volumes are relatively small and/or the chemistry is relatively complex, batch processing provides an important means of quality control.&lt;br /&gt;
&lt;br /&gt;
===Plug Flow Reactor (PFR)===&lt;br /&gt;
&lt;br /&gt;
A PFR with tubular geometry has perfect radial mixing but no axial mixing.  All materials hav the same residence time, τ, and experience the same temperature and concentration profiles along the reactor.  Equation for PFR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;dM = \Re dV&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where M = molar flow rate, dV is the incremental volume, and &amp;lt;math&amp;gt;\Re&amp;lt;/math&amp;gt; is the rate of reaction per unit volume.&lt;br /&gt;
&lt;br /&gt;
This equation can be integrated along the length of the reactor to yield relationships between reactor resident time and concentration or conversion.&lt;br /&gt;
&lt;br /&gt;
===Continuously Stirred Tank Reactor (CSTR)===&lt;br /&gt;
&lt;br /&gt;
The stirred tank reactor models a large scale conventional laboratory flask and can be considered to be the basic chemical reactor.  In a CSTR, shown in Figure 1, there is no spatial variation- the entire vessel contents are at the same temperature, pressure, and concentration.  Therefore the fluid leaving the reactor is at the same temperature and concentration as the fluid inside the reactor.&lt;br /&gt;
&lt;br /&gt;
The material balance across the CSTR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;M_\text{in}-M_\text{out}= \Re V&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Some of the material the enters the reactor can leave immediately, while some leaves much later, so there is a broad distribution in residence time as shown in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:CSTR.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Continuously Stirred Tank Reactor [1]&lt;br /&gt;
&lt;br /&gt;
More information on stirred tanks can be found in the [[#Mixing in Industrial Reactors|Mixing]] section.&lt;br /&gt;
&lt;br /&gt;
=General Reactor Design=&lt;br /&gt;
&lt;br /&gt;
The design of the reactor should not be carried out separately from the overall process design due to the significant impact on capital and operating costs on other parts of the process[1].  &lt;br /&gt;
&lt;br /&gt;
==Step 1: Collect Required Data==&lt;br /&gt;
&lt;br /&gt;
Out of all process equipment, reactor design requires the most process input data: reaction enthalpies, phase-equilibrium constants, heat and mass transfer coefficients, as well as reaction rate constants.  All of the aforementioned parameters can be estimated using simulation models or literature correlations except for reaction rate constant constants, which need to be determined experimentally [1].&lt;br /&gt;
&lt;br /&gt;
===Enthalpy of Reaction===&lt;br /&gt;
&lt;br /&gt;
: The heat given out in a chemical reaction is based on the enthalpies of the component chemical reactions, which are given for standard temperature and pressure (1 atm, 25 C).  Values for standard heats of reaction can be found tabulated in literature, or can be calculated from heats of formation or combustion.  Care must be taken to quote the basis for the heat of reaction and the states of reactants and products.&lt;br /&gt;
&lt;br /&gt;
: The following equation is used to convert enthalpies from standard conditions to the process conditions:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,P,T} = \Delta H_\text{r}^{\circ} + &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: If the effect from pressure is not significant and only Temperature needs to be accounted for, the following equation should be used:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,T} = \Delta H_\text{r}^{\circ} + \Delta H_\text{prod.} + \Delta H_\text{react.}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Equilibrium Constant and Gibbs Free Energy===&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta G = -\mathbf{R} T \ln K &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: Where &amp;lt;math&amp;gt;\Delta G&amp;lt;/math&amp;gt; is the change in Gibbs free energy from the reaction at temperature &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;\mathbf{R}&amp;lt;/math&amp;gt; is the ideal gas constant, and &amp;lt;math&amp;gt;K&amp;lt;/math&amp;gt; is the reaction equilibrium constant, given by:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;K = \prod_{i=1}^n {a_i}^{\alpha_i} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: where &amp;lt;math&amp;gt;a_i&amp;lt;/math&amp;gt; is the activity of component i, &amp;lt;math&amp;gt;\alpha_i&amp;lt;/math&amp;gt; is the stoichiometric coefficient of component &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt;, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the total number of components.&lt;br /&gt;
&lt;br /&gt;
: Equilibrium constants can be found in the literature and are useful for evaluating the rates of forward and reverse reactions.  Care must be taken to the experimental design used for the literature equilibrium constants to make sure they are consistent with the conditions of the actual process reactor.  For more complicated reactions consisting of several sequential or simultaneous reactions, the equilibrium is found by minimizing the Gibbs free energy [1].  Commercial process simulation programs use the Gibbs reactor model in this way.  &lt;br /&gt;
&lt;br /&gt;
===Reaction Mechanisms, Rate Equations, and Rate Constants===&lt;br /&gt;
&lt;br /&gt;
: In most cases the main process reaction rate equations and rate constants cannot be predicted from first principles and must be approximated [1].  This is due to the following:&lt;br /&gt;
&lt;br /&gt;
* Use of heterogeneous catalysis or enzymes which lead to Langmuir-Hinshelwood-Hougen-Watson or Michaelis-Menten kinetics&lt;br /&gt;
* Mass transfer between vapor and liquid or two liquid phases&lt;br /&gt;
* Multistep mechanisms whose rate expressions do not follow overall reaction stoichiometry&lt;br /&gt;
* Competing side reactions&lt;br /&gt;
&lt;br /&gt;
: As a result the main process reaction is usually approximated as first- or second-order over a narrow range of process conditions (temperature, pressure, species concentrations) to estimate the residence time required for a target conversion.  Rate equations are always a fit for experimental data and should thus be used for interpolation within the data.  It is important to collect more data when extrapolating, especially for exothermic reactions which have the potential for runaway [1].&lt;br /&gt;
&lt;br /&gt;
===Heat and Mass Transfer Properties===&lt;br /&gt;
&lt;br /&gt;
====Heat Transfer====&lt;br /&gt;
:: The design of internal heating or cooling devices can be found in [https://processdesign.mccormick.northwestern.edu/index.php/Heat_Transfer_Equipment Heat Transfer Equipment].  Correlations for tube-side heat-transfer coefficients for catalyst-packed tubes of a heat exchanger are given below:&lt;br /&gt;
&lt;br /&gt;
:: For heating: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = .813 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.9} e^{-6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for cooling: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = 3.50 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.7} e^{-4.6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt; is the tube-side heat transfer coefficient for a packed tube, &amp;lt;math&amp;gt;d_t&amp;lt;/math&amp;gt; is the tube diameter, &amp;lt;math&amp;gt;\lambda_f&amp;lt;/math&amp;gt; is the fluid thermal conductivity, &amp;lt;math&amp;gt;\rho_f&amp;lt;/math&amp;gt; is the fluid density, &amp;lt;math&amp;gt;u&amp;lt;/math&amp;gt; is the superficial velocity, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the effective particle diameter, and &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the fluid viscosity.&lt;br /&gt;
&lt;br /&gt;
====Diffusion Coefficients====&lt;br /&gt;
&lt;br /&gt;
:: Diffusion coefficients are necessary when mass transfer can limit the rate of reaction, such as in catalytic reactions or reactions involving mass transfer processes such as gas absorption, distillation, and liquid-liquid extraction.  &lt;br /&gt;
&lt;br /&gt;
:: The diffusivity for gases can be estimated by the following correlation (Fuller, Schettler, Giddings):&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_v = \frac{1.013 \times 10^{-7} T^{1.75} {\left ( \frac{1}{M_a} + \frac{1}{M_b} \right )}^{1/2} }{P {\left [ {\left ( \sum_{a} v_i  \right )}^{1/3}  + {\left ( \sum_{b} v_i  \right )}^{1/3}  \right ]}^2  } &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_v&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is temperature, &amp;lt;math&amp;gt;M_a , M_b&amp;lt;/math&amp;gt; are the molecular masses of components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;P&amp;lt;/math&amp;gt; is the total pressure, and &amp;lt;math&amp;gt;\sum_{a} v_i , \sum_{b} v_i&amp;lt;/math&amp;gt; are the summation of special diffusion volume coefficients for components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, given in the table below:&lt;br /&gt;
&lt;br /&gt;
:: (volume coefficient table from towler)&lt;br /&gt;
&lt;br /&gt;
:: Wilke and Chang developed a correlation for estimating the diffusivity of components in the liquid phase:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_L =  \frac{1.173 \times 10^{-13} {(\phi M_w)}^{1/2} T}{\mu V_m^{.6}} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid diffusivity, &amp;lt;math&amp;gt;\phi&amp;lt;/math&amp;gt; is an association factor for the solvent, &amp;lt;math&amp;gt;M_w&amp;lt;/math&amp;gt; is the molecular mass of the solvent, &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the solvent viscosity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is the temperature, and &amp;lt;math&amp;gt;V_m&amp;lt;/math&amp;gt; is the molar volume of the solute at its boiling point.  This correlation holds for organic compounds in water but not for water in organic solvents.&lt;br /&gt;
&lt;br /&gt;
====Mass Transfer====&lt;br /&gt;
&lt;br /&gt;
:: For multiphase reactors it is necessary to estimate the mass transfer coefficient.  &lt;br /&gt;
&lt;br /&gt;
:: The equation of Gupta and Thodos predicts the mass transfer coefficient for a packed bed of particles:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac{k d_p}{D} = 2.06 \frac{1}{\epsilon} {Re}^{.425} {Sc}^{.33} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the particle diameter, &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;Re&amp;lt;/math&amp;gt; is the Reynolds number calculated using the superficial velocity through the bed, &amp;lt;math&amp;gt;Sc&amp;lt;/math&amp;gt; is the Schmidt number,  and &amp;lt;math&amp;gt;\epsilon&amp;lt;/math&amp;gt; is the bed void fraction.&lt;br /&gt;
&lt;br /&gt;
:: Mass transfer between vapor and liquid in an agitated vessel can be described by the Van&#039;t Riet equations:&lt;br /&gt;
&lt;br /&gt;
:: For air-water: &amp;lt;math&amp;gt; k_L a = 0.026 {\left ( \frac{P_a}{V_{liq}} \right )}^{.4} Q^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for air-water-electrolyte: &amp;lt;math&amp;gt; k_L a = 0.002 {\left ( \frac{P_a}{V_{liq}} \right )}^{.7} Q^{.2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k_L&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; is the interfacial area per unit volume, &amp;lt;math&amp;gt;Q&amp;lt;/math&amp;gt; is the gas volumetric flow rate, &amp;lt;math&amp;gt;V_{liq}&amp;lt;/math&amp;gt; is the liquid volume, and &amp;lt;math&amp;gt;P_a&amp;lt;/math&amp;gt; is the agitator power input.&lt;br /&gt;
&lt;br /&gt;
:: Fair&#039;s method for calculating the mass transfer coefficient for low viscosity systems is given by:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac {{(k_L a)}_{system}}{{(k_L a)}_{air-water}} = {\left ( \frac{D_{L,system}}{D_{L, air-water}} \right )}^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid phase diffusivity.  &lt;br /&gt;
&lt;br /&gt;
:: Mass transfer correlations for vapor-liquid systems should be used with caution when there are surfactants [1].&lt;br /&gt;
&lt;br /&gt;
==Step 2: Select Reaction Conditions==&lt;br /&gt;
&lt;br /&gt;
===Chemical or Biochemical Reaction===&lt;br /&gt;
&lt;br /&gt;
===Catalyst===&lt;br /&gt;
&lt;br /&gt;
===Temperature===&lt;br /&gt;
&lt;br /&gt;
===Pressure===&lt;br /&gt;
&lt;br /&gt;
===Reaction Phase===&lt;br /&gt;
&lt;br /&gt;
===Solvent===&lt;br /&gt;
&lt;br /&gt;
===Concentrations===&lt;br /&gt;
&lt;br /&gt;
==Step 3: Determine Materials of Construction==&lt;br /&gt;
&lt;br /&gt;
A preliminary analysis of the materials of construction for the reactor can be conducted after the reaction conditions have been specified.  Particularly important in this analysis are the temperatures and pressures the process will run at.  At extreme conditions, costly alloys may need to be used.  In addition, the designer must ensure that process streams will not react with materials used in process equipment.&lt;br /&gt;
&lt;br /&gt;
==Step 4: Determine Rate-Limiting Step and Critical Sizing Parameters==&lt;br /&gt;
&lt;br /&gt;
The key parameters that determine the extent of reaction must be identified by carrying out an experiment plan with a broad range of conditions.  In general, the rate of reaction is usually limited by the following fundamental processes.  The first three have been discussed in previous sections.  Mixing will be developed in more detail in its own section. &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Intrinsic kinetics:&#039;&#039;&#039; There will usually be one slowest step that governs the overall rate.&lt;br /&gt;
* &#039;&#039;&#039;Mass-transfer rate:&#039;&#039;&#039; In multiphase reactions and processes that use porous heterogeneous catalysis, mass transfer can be particularly important.  Often, careful experimentation will be needed to separate the effects of mass transfer and the rate of reaction to determine which is the rate-limiting step. &lt;br /&gt;
* &#039;&#039;&#039;Heat-transfer rate:&#039;&#039;&#039; The rate of heat addition can become the governing parameter for endothermic reactions.  Heat-transfer devices such as heat exchangers or fired heaters may need to be used.&lt;br /&gt;
* &#039;&#039;&#039;Mixing:&#039;&#039;&#039; The time taken to mix the reagents can be the limiting step for very fast reactions.&lt;br /&gt;
&lt;br /&gt;
Once rate data have been collected, the designer can fit a suitable model of reaction kinetics.  Next, a critical sizing parameter can be specified for the reactor.  This will usually be one of the parameters given in Figure 1.  &lt;br /&gt;
&lt;br /&gt;
:: [[File:Sizing_Parameters.PNG]]&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;i&amp;gt;Figure 1&amp;lt;/i&amp;gt;. Reactor Sizing Parameters [1]&lt;br /&gt;
&lt;br /&gt;
==Step 5: Preliminary Sizing, Layout, and Costing of Reactor==&lt;br /&gt;
&lt;br /&gt;
The designer can estimate the reactor and catalyst volume from the sizing parameter.  This calculation will yield a value for the active reacting volume necessary.  Clearly, the actual reactor will need additional space.  The geometry of the reactor will depend on the desired flow pattern and mixing requirements [1].  The cost of most reactors can be estimated by determining the cost of a pressure vessel with the same dimensions and adding in the cost of the internals [1].&lt;br /&gt;
&lt;br /&gt;
==Step 6: Estimate Reactor Performance==&lt;br /&gt;
&lt;br /&gt;
At this point in the design process, it is important to verify that the proposed reactor will achieve the target conversions and selectivities.  A combination of experimental methods, such as pilot plants, and computer simulations can be used to predict the full-scale reactor performance.&lt;br /&gt;
&lt;br /&gt;
==Step 7: Optimize the Design==&lt;br /&gt;
&lt;br /&gt;
The reactor is typically a relatively small fraction of the total capital cost [1], so minimal time should be devoted to optimization to reduce the reactor cost.  However, if the target conversion, yields, and selectivities are not met, the process economics could be significantly impacted.  Therefore, steps 2 to 6 should be repeated at least until the minimum specifications are met [1].&lt;br /&gt;
&lt;br /&gt;
=Mixing in Industrial Reactors=&lt;br /&gt;
&lt;br /&gt;
Mixing plays an important role in many processing stages, including reactor performance.  It is critical to select the appropriate method of mixing in order to ensure the process produces the desired process yields, product purity, and cost effectiveness.  &lt;br /&gt;
&lt;br /&gt;
Correlations such as the Reynolds number can be used to determine the extent of mixing and correlate power consumption and heat transfer to the reactor shell [2].  In some cases, simple correlations may not be adequate:&lt;br /&gt;
* If dead zones cannot be tolerated for reasons of product purity, safety, 	etc.&lt;br /&gt;
* If reactor internals are complex&lt;br /&gt;
* If reaction selectivity is very sensitive to mixing&lt;br /&gt;
In these cases, it is usually necessary to carry out a more sophisticated analysis of mixing:&lt;br /&gt;
* Use computational fluid dynamics to model the reactor &lt;br /&gt;
* Use physical modeling (“cold flow”) experiments&lt;br /&gt;
* Use tomography methods to look at performance of real reactor&lt;br /&gt;
&lt;br /&gt;
==Gas Mixing==&lt;br /&gt;
Gases mix easily because of their low viscosities.  The mixing given by turbulent flow in a length of pipe is usually sufficient for most purposes [1].  Orifices, vanes, and baffles can be used to increase turbulence.  &lt;br /&gt;
&lt;br /&gt;
==Liquid Mixing==&lt;br /&gt;
*&#039;&#039;&#039;Inline Mixing&#039;&#039;&#039; Inline mixers can be used for the continuous mixing of low-viscosity fluids.  One inexpensive method involves the use of static devices that promote turbulent mixing in pipelines.  Some typical designs are shown in Figures 2(a), (b), and (c).&lt;br /&gt;
&lt;br /&gt;
::[[File:Static_Mixers.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 2.&#039;&#039; Inline mixers: (a) tee; (b) injection; (c) annular [1]&lt;br /&gt;
&lt;br /&gt;
:: When mixing low viscosity fluids (&amp;lt;50 mNs/m&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) with similar densities and flow rates, a simple mixing tee, Figure 2(a), followed by a length of pipe equal to 10 to 20 pipe diameters, is suitable [1].&lt;br /&gt;
:: When one flow is much lower than the other, an injection mixer, Figure 2(b&amp;amp;c), should be used.  A satisfactory blend will be achieved in about 80 pipe diameters [1].  Baffles or other flow restrictions can be used to reduce the mixing length required.  These mixers work by introducing one fluid into the flowing stream of the other through a concentric pipe or an annular array of jets [1].&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;Stirred Tanks&#039;&#039;&#039;  Stirred tanks were discussed in the [[#Ideal Reactors|Ideal Reactors]] section.  Mixing is conducted by an impeller mounted on a shaft driven by a motor.  The reactor usually contains baffles or other internals to induce turbulence and prevent the contents from swirling and creating a vortex.  Typically, baffles are 1/10 of diameter and located 1/20 of diameter from wall [2].  A typical arrangement of agitator and baffles in a stirred tank, and the flow pattern generated, is shown in Figure 3.  Mixing occurs through the bulk flow of the liquid and by the motion of the turbulent eddies created by the agitator.  Bulk flow is the predominant mixing mechanism required for the blending of miscible liquids and for solids suspension. Turbulent mixing is important in operations involving mass and heat transfer, which can be considered as shear-controlled processes [1].  &lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Arrangements.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 3.&#039;&#039; Agitator arrangements and flow patterns [1]&lt;br /&gt;
&lt;br /&gt;
:At high Reynolds numbers (low viscosity), one of the three basic types of impeller shown in Figure 4 should be used.  For processes controlled by turbulent mixing, the flat-bladed (Rushton) turbines are appropriate.  For bulk mixing, the propeller and pitched-bladed turbines are appropriate [1]. &lt;br /&gt;
&lt;br /&gt;
::[[File:Impeller_Types.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 4.&#039;&#039; Basic impeller types [1]&lt;br /&gt;
&lt;br /&gt;
:For more viscous fluids, paddle, anchor, and helical ribbon agitators (Figures 5(a), (b), and (c)), are used [1].  The selection chart given in Figure 6 can be used to make a preliminary selection of the agitator type, based on the liquid viscosity and tank volume [1].&lt;br /&gt;
&lt;br /&gt;
::[[File:Low_Speed_Agitators.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 5.&#039;&#039; Low-speed agitators [1]&lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Selection_Guide.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 6.&#039;&#039; Agitator selection guide [1]&lt;br /&gt;
&lt;br /&gt;
==Gas-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Gases can be mixed into liquids using the inline mixing or stirred tank methods discussed previously.  A special type of gas injector, called a sparger (shown in Figure 7) can also be used.  This is a long injection tube with multiple holes drilled in it.  &lt;br /&gt;
&lt;br /&gt;
[[File:Gas_Sparger.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 7.&#039;&#039; Gas sparger [1]&lt;br /&gt;
&lt;br /&gt;
A small flow of liquid can be dispersed into a gas stream using a spray nozzle (Figure 8).&lt;br /&gt;
&lt;br /&gt;
[[File:Liquid_Injection.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 8.&#039;&#039; Liquid injection into gas [1]&lt;br /&gt;
&lt;br /&gt;
==Solid-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Solids are usually added to a liquid in a stirred tank at atmospheric pressure.  In order to allow more accurate control of dissolved solid concentration, mixing of solids and liquids is often carried out as a batch operation [1].&lt;br /&gt;
&lt;br /&gt;
=Types of Reactors=&lt;br /&gt;
&lt;br /&gt;
Most reactors used in industry approximate the ideal batch reactor, PFR, or CSTR.  In fact, real reactors can be modeled as networks or combinations of multiple plug-flow and stirred-tank reactors [1]. Examples of real reactors that approximate the flow pattern of ideal reactors are shown in Figure 10.  These reactors will be discussed in more detail in the following sections.&lt;br /&gt;
&lt;br /&gt;
[[File:Types_of_Reactors.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 10.&#039;&#039; Ideal reactors and some real reactors that approximate the same flow pattern [1]&lt;br /&gt;
&lt;br /&gt;
==Vapor-Liquid Reactors==&lt;br /&gt;
&lt;br /&gt;
Vapor-liquid reactions are important in many chemical processes.  For example, oxygenation and hydrogenation reactions are usually carried out with the organic component in the liquid phase [1].  A summary of common goals for vapor-liquid reactors and the reactors used to achieve those goals is shown in Table 1.&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Goal !! Types of Vapor-Liquid Reactors !! Examples&lt;br /&gt;
|-&lt;br /&gt;
| Maintain low concentration of gas component in liquid || &lt;br /&gt;
* Sparged stirred tank reactor&lt;br /&gt;
* Sparged tubular reactor&lt;br /&gt;
 || &lt;br /&gt;
* Liquid phase oxidations using air&lt;br /&gt;
* Fermenters&lt;br /&gt;
|-&lt;br /&gt;
| Contact gas and liquid over catalyst || &lt;br /&gt;
* Trickle bed reactor &lt;br /&gt;
*Slurry phase reactor &lt;br /&gt;
|| &lt;br /&gt;
* Catalytic hydrogenation&lt;br /&gt;
|-&lt;br /&gt;
| React a component out of the gas phase to high conversion || &lt;br /&gt;
* Multi-stage V/L contactor (reactive absorption column) &lt;br /&gt;
* Venturi scrubber &lt;br /&gt;
|| &lt;br /&gt;
*Chemisorption &lt;br /&gt;
*Acid gas scrubbing&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 1.&#039;&#039; Summary of Vapor-Liquid Reactors [2]&lt;br /&gt;
&lt;br /&gt;
If the residence time requirements are short enough, vapor-liquid contacting columns are preferred because of the high area for mass transfer.  Trayed or packed columns can be used to contact vapor and liquid for reaction.  The column packing may be catalytically active or could be inert packing [2].  Please see the [[separation processes]] section of this website for more information on the types of processes used for the third goal listed.  &lt;br /&gt;
&lt;br /&gt;
Stirred tanks or tubular reactors are used when long residence time is needed for the liquid phase [1].  These types of reactors and more will be discussed in the [[#Catalytic Processes|catalytic processes]] section of this page.&lt;br /&gt;
&lt;br /&gt;
The reactors listed under the first goal in the table are unique to vapor-liquid processes.  The basic concept of a sparger was discussed in the [[#Mixing in Industrial Reactors|mixing]] section.  Sparged reactors are shown in Figure 11. &lt;br /&gt;
&lt;br /&gt;
[[File:Sparged_Reactors.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 11.&#039;&#039; Sparged stirred tank and tubular reactors [2]&lt;br /&gt;
&lt;br /&gt;
The gas is bubbled up through the liquid in a sparged reactor.  For smaller bubbles, a porous pipe diffuser can be used instead [2].  The designer must allow some disengaging space at the top of the reactor, or entrainment will be excessive.  If the gas flow rate is large then the gas flow can be used as the primary means of agitation.  Perry&#039;s Handbook suggests the following air rates (ft&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/ft&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;min) for agitating an open tank full of water at 1 atm:&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Degree of agitation !! Liquid depth 9 ft !! Liquid depth 3 ft&lt;br /&gt;
|-&lt;br /&gt;
| Moderate || 0.65 || 1.3&lt;br /&gt;
|-&lt;br /&gt;
| Complete || 1.3 || 2.6&lt;br /&gt;
|-&lt;br /&gt;
| Violent || 3.1 || 6.2&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 2.&#039;&#039; Summary of suggested flow rates for gas flow as agitation [2]&lt;br /&gt;
&lt;br /&gt;
==Catalytic Processes==&lt;br /&gt;
A catalyst increases the rate of a chemical reaction without itself becoming permanently changed by the reaction.  Catalysts allow reactions to be run in smaller reactors and operated at lower temperatures and improve selectivity.  Therefore, catalysts will almost always lead to a more economically attractive process than a noncatalytic route.  [1]  Catalysts are normally selected based on performance rather than price since increases catalysts selectivity will almost always quickly pay back any price premium expected by the manufacturer.  It is important to test the catalysts under conditions that are representative of process conditions [1].  &lt;br /&gt;
&lt;br /&gt;
Catalyst activity often deteriorates over time [2].  Common causes of deactivation include:&lt;br /&gt;
* Poisoning by components in feed (e.g. base destroys acid catalyst)&lt;br /&gt;
* Blockage of pores or active sites by byproducts such as coke&lt;br /&gt;
* Thermal or hydrothermal modification of catalyst structure&lt;br /&gt;
Slow activity loss can be compensated by:&lt;br /&gt;
* Putting in more catalyst (lower space velocity)&lt;br /&gt;
* Slowly raising reactor temperature&lt;br /&gt;
Rapid activity loss may require moving the catalyst to a continuous regeneration zone [2].&lt;br /&gt;
&lt;br /&gt;
Catalytic reactions can be either homogenous (catalyst is in the same phase as the reagents) or heterogeneous (catalyst is not in the same phase as the reagents).&lt;br /&gt;
&lt;br /&gt;
===Homogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
:Homogeneous catalysis can be conducted in the basic batch reactors, PFRs, or CSTRs that have already been discussed.  However, when the catalyst is in the same phase as the reagent, recovering this catalyst after the reaction can be difficult and expensive, particularly if the catalyst is sensitive to high temperatures [2].  Providing adequate interfacial area is also a challenge of homogeneous catalysis.  A reaction often only occurs at the interface or in the boundary layer between the catalyst and the reagents.  Increased mixing can increase the rate and selectivity of the reaction, but this can require detailed and expensive mixing equipment [2].  For these reasons, reactions requiring homogenous catalysts are not usually used unless an easy separation can be found to recover the catalyst.&lt;br /&gt;
&lt;br /&gt;
===Heterogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
: Catalyst recovery in processes involving heterogeneous catalysis is much easier.  However, the rate of reaction is limited by the available inter-phase surface area and the mass transfer of reagents and products to and from the interface [2].  Therefore, reactors for these processes are design to reduce these limitations.&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Fixed Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: In a fixed-bed reactor, the reagent flows over a stationary bed of packed catalyst [1].  This is the most common type of reactor used for heterogeneous catalysis as long as the catalyst does not require continuous regeneration and the reaction mixture does not require high agitation [2].  The amount of catalyst necessary can be found using the following equations:&lt;br /&gt;
&lt;br /&gt;
::[[File:Catalyst_Calcs.png]]&lt;br /&gt;
&lt;br /&gt;
:: The ratio of the bed height (L) to the diameter (D) determines the distribution of reagents and the pressure drop across the bed.  An increased L/D ratio creates a more even distribution and less change of localized deactivation or &amp;quot;hot spots.&amp;quot;  However, increasing the L/D ratio increases the pressure drop, requiring higher compression and pumping costs [2].  The Ergun equation can be used to calculate the pressure drop in packed beds. &lt;br /&gt;
&lt;br /&gt;
:: [[File:Ergun.png]]&lt;br /&gt;
&lt;br /&gt;
::Where V is the superficial velocity (volume flowrate divided by cross-sectional area), μ is the viscosity, D&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; is the particle diameter and ε is the porosity of the packed bed [2]. Given these trade-offs, it may make sense to split the catalyst over several beds [2].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Radial Flow Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: When there is very little pressure drop available, the L/D ratio must be much less that one [2].  A common solution to this is to use a radial flow reactor with the catalyst contained in an annulus between vertical perforated or slotted screens.  The fluid flows radially through the bed and the direction of flow can be either inwards or outwards [1].  An example of a radial flow reactor is shown in Figure 12.&lt;br /&gt;
&lt;br /&gt;
:: [[File:Radial_flow.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 12.&#039;&#039; Radial flow reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Moving Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: A moving bed reactor is similar to a radial flow reactor, but the catalyst is moved through the annular space [2].&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Fluidized Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: If the fluid flow is up through the catalyst bed then the bed can become fluidized if the pressure drop is high enough to support the weight of the catalyst.  Fluidized beds usually have a lower pressure drop than down flow at high flow rates [2].  In addition, fluidizing the catalyst eases the transition from one reaction zone to another.&lt;br /&gt;
&lt;br /&gt;
:: The catalyst bed is fluidized using a distributor to inject fluidization fluid, which is not necessarily the feed.  Fluidization occurs when the bed pressure drop balances the weight of the particles, or &lt;br /&gt;
&lt;br /&gt;
::[[File:Fluid_Eqn.png]]&lt;br /&gt;
&lt;br /&gt;
::Where ∆P is the pressure drop, ρ&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; and ρ&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; are the densities of the particle and gas respectively, ε&amp;lt;sub&amp;gt;m&amp;lt;/sub&amp;gt; is the porosity at minimum fluidization, and L is the height of the bed [2].  Fluidization can only be used with relatively small sized particles (&amp;lt;300 micrometers with gases).  The solid material must be strong enough to withstand attrition in the fluidized bed and cheap enough to allow for make-up to replace attrition losses [1].  A fluidized-bed reactors must also make allowance for separating the fluid-phase product from entrained solids so that solids are not carried out of the reactor [1].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Trickle Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Trickle bed reactors are used when all three phases are involved in the reaction.  They must ensure good distribution of both the vapor and the liquid, without channeling of either phase [2].  In a trickle bed reactor, the liquid flows down over the surface of a stationary bed of solids.  The gas phase usually also flows downwards with the liquid, but countercurrent flow is feasible as long as flooding conditions are avoided [1].  This requires a more sophisticated distributor like those used for packed distillation columns [2].  An example of a trickle bed reactor is shown in Figure 13.&lt;br /&gt;
&lt;br /&gt;
::[[File:trickle_bed.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 13.&#039;&#039; Example of trickle bed reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Slurry Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
::Liquid is mixed up in the liquid in slurry phase reactions.  Slurry reactors are prone to attrition of the solids, caused by pumping or agitation of the liquid [1].  Slurry-phase operation is usually not preferred for processes that use heterogeneous catalysts because the catalyst tends to become eroded and can be difficult to recover from the liquid [1].&lt;br /&gt;
&lt;br /&gt;
==Bioreactors==&lt;br /&gt;
&lt;br /&gt;
Bioreactors have requirements that add complexity compared to simpler chemical reactors.  These reactions often are three-phase (cells, water, and air), need sterile operation, and require heat removal [2].  However, biological systems have the following advantages:&lt;br /&gt;
* Some products can only be made by biological routes&lt;br /&gt;
* Large molecules such as proteins can be made&lt;br /&gt;
* Selectivity for desired product can be very high&lt;br /&gt;
* Products are often very valuable &lt;br /&gt;
&lt;br /&gt;
===Enzyme Catalysis===&lt;br /&gt;
&lt;br /&gt;
Enzymes are the biological equivalent of catalysts.  They can sometimes be isolated from host cells. They are usually proteins and, therefore, most are thermally unstable above ~60 degrees Celsius and active only in water at a restricted pH [2].  Enzymes can sometimes be absorbed onto a solid or encapsulated in a gel without losing their structure.  In this case, they can be used in a conventional fixed bed reactor.  Typically, homogenous reactions are carried out in batch reactors.&lt;br /&gt;
&lt;br /&gt;
===Cell Growth===&lt;br /&gt;
&lt;br /&gt;
Cell growth goes through several phases during a batch, shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
[[File:Cell_Growth_Rate.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 15.&#039;&#039; Cell growth and product formation in batch fermentation [1]&lt;br /&gt;
&lt;br /&gt;
* I: Innoculation: slow growth while cells adapt to new environment&lt;br /&gt;
* II: Exponential growth: growth rate proportional to cell mass&lt;br /&gt;
* III: Slow growth as substrate or other factors begin to limit rate&lt;br /&gt;
* IV: Stationary phase: cell growth rate and death rate are equal&lt;br /&gt;
* V: Decline phase: cells die or sporulate, often caused by product build-up&lt;br /&gt;
&lt;br /&gt;
Intracellular product accumulation is slow at first because there are a limited number of cells [2].  However, it is important to note that product accumulation continue even after the live cell count falls, since dead cells still contain product.&lt;br /&gt;
&lt;br /&gt;
The growth rate of cells can be limited by factors such as:&lt;br /&gt;
* The availability of the primary subtrate&lt;br /&gt;
** Typically glucose, fructose, sucrose, or other carbohydrate&lt;br /&gt;
* The availability of other metabolites&lt;br /&gt;
** Vitamins, minerals, hormones, or enzyme cofactors&lt;br /&gt;
* The availability of oxygen&lt;br /&gt;
* Mass transfer properties of the reaction system&lt;br /&gt;
* Inhibition or poisoning by products or byproducts&lt;br /&gt;
* High temperature caused by inadequate heat removal&lt;br /&gt;
&lt;br /&gt;
All of these factors are exacerbated at higher cell concentrations [2].  Clearly, biological reactions must be carefully controlled.  An addition complication in dealing with biological reactions is that the product formation is often not closedly tied to the rate of consumption of the substrate [2].  This is because of the fact that the product may be made by the cells at a relatively low concentration and the fact that some cell metabolic processes may not be involved in formation of the desired product [2].&lt;br /&gt;
&lt;br /&gt;
===Types of Bioreactors===&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Stirred Tank Fermenter&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: The stirred tank fermenter is the most common reactor used for biological reactions [2] and is similar to the stirred tanks discussed previously.  It can be used in both batch and continuous mode.  Figure 14 shows a stirred tank fermenter.&lt;br /&gt;
&lt;br /&gt;
::[[File:Fermentation.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 14.&#039;&#039; Fermentation reactor [1]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Shaftless Bioreactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Shaftless bioreactors are used when the pump shaft seal is considered a non-permissible source of contamination.  These reactors use gas flow to provide agitation of the liquid.  The design requires careful attention to hydraulics [2].  Examples of shaftless bioreactors are shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
::[[File:Shaftless.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 15.&#039;&#039; Examples of shaftless bioreactors [2]&lt;br /&gt;
&lt;br /&gt;
=Heating and Cooling of Reacting Systems=&lt;br /&gt;
&lt;br /&gt;
Exothermic and endothermic reactions will require reactors with heat control systems to prevent operating conditions from falling out of the desired range. Before considering the design of a heating or cooling system to couple with a reactor, a few important questions should be asked[1].&lt;br /&gt;
&lt;br /&gt;
1. Can the reaction be carried out adiabatically?&lt;br /&gt;
&lt;br /&gt;
2. Can the feeds provide the required heating or cooling? Staged addition of feed can help alleviate the cost of adding a heat exchange network or heat transfer jacket.  Also consider adding an inert diluent or hot/cold shots [3].&lt;br /&gt;
&lt;br /&gt;
3. Would it be more cost effective to carry out the heat exchange outside of the reactor?&lt;br /&gt;
&lt;br /&gt;
4. Would it be more effective to carry out the reaction inside of a heat transfer device? If a reaction requires only a small volume or small quantities of catalyst, it may be possible to utilize a heat exchanger as a temperature controller and as a reaction location.&lt;br /&gt;
&lt;br /&gt;
5. Does the proposed design allow the process to be started up and shut down smoothly?&lt;br /&gt;
&lt;br /&gt;
6. Are there safety concerns with heating or cooling the reactor?&lt;br /&gt;
&lt;br /&gt;
After considering these aspects of the design, commercial design software such as HYSYS or UniSim can be utilized to estimate heating/cooling requirements. Once this is done, design of the heat exchange system can begin, with different reactor types and reactions requiring different design approaches[1].&lt;br /&gt;
&lt;br /&gt;
==Stirred Tank Reactors==&lt;br /&gt;
&lt;br /&gt;
Heating and cooling of a stirred tank reactor is done to ensure a uniform reaction temperature, so that there do not exist hot or cold spots within the reactor that can negatively affect selectivity[1]. &lt;br /&gt;
&lt;br /&gt;
For indirect heat transfer, there are three main alternatives: a heat transfer jacket, an internal coil, and an external heat transfer circuit. A jacket is utilized as long as there is sufficient heat transfer area for the heat exchange to take place. If this is not the case, coils are used, although the inclusion of a heating coil will significantly increase reactor volume and utility requirements, leading to a large increase in price for the reactor. External circuits contain a heat exchanger that will heat or cool the product stream as required and recycle this material to the reactor to control temperature. External circuits are useful because they can be designed independently of the reactor; sizing the required pumps and heat exchangers will not fundamentally change the activity of the reactor. For any of these choices, it should be ensure that no corrosion of the involved piping will occur, as utility streams bleeding into the reactor can have a very negative impact on the selectivity of the reaction and on the operation of the reactor on a whole[1].&lt;br /&gt;
&lt;br /&gt;
Some direct heat transfer alternatives also exist, as long the reaction in question is compatible with the addition of extra water. Steam can be pumped into the reactor to maintain temperature, which will eliminate the need to design heat transfer surfaces. However, steam injected into the system cannot be recovered, so this will lead to an increase in annual utility costs. Additionally, vapor will be produced if it did not exist previously, so reactors will need to be redesigned to accommodate a vapor removal system[1]. &lt;br /&gt;
&lt;br /&gt;
==Catalytic Reactors==&lt;br /&gt;
&lt;br /&gt;
===Slurry Reactors===&lt;br /&gt;
&lt;br /&gt;
Since slurry reactors already use a mix of solid catalyst and liquid reactants, any of the methods described in the Stirred Tank Reactors section can be applied to slurry reactors. It is not recommended to use internal coils in such a design, as reactor slurry will often corrode heat exchange material very easily[1].&lt;br /&gt;
&lt;br /&gt;
===Fixed-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Indirect heat transfer is not often utilized to control the temperature in fixed-bed reactors, as it hard to maintain uniform temperature across the radial section of the catalyst bed. In cases where temperature control is required, the reactor will be split into smaller sections. After each bed, there will be an heat transfer stage, where the product stream is heated or cooled as necessary and returned to the next catalytic segment[1]. &lt;br /&gt;
&lt;br /&gt;
===Fluidized-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Fluidized bed reactors have high heat-transfer coefficients, so indirect heat transfer is highly effective. The heat capacity of the solid catalyst particles can be used as a heat transfer medium themselves; heated catalyst contains a reaction location and the necessary heat to maintain the required temperature. Deactivated catalyst is heated during reactivation and recycle[1].&lt;br /&gt;
&lt;br /&gt;
==Heat Exchangers as Reactors==&lt;br /&gt;
&lt;br /&gt;
It is sometimes necessary to design a reactor as a heat transfer device, like when it is necessary to operate a reactor isothermally and there is a large heat of reaction. Some common situations include high-temperature endothermic reactions that quickly quench without continuous heat input and low-temperature exothermic reactions that must be kept at constant temperature to maintain selectivity. The most common heat transfer equipment used for reactions are shell and tube heat exchangers and fired heaters[1].&lt;br /&gt;
&lt;br /&gt;
===Homogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
If the reaction does not required a catalyst, than the heat transfer design is the same as a conventional heat transfer device, with some important changes in the thermal design. The usual heat exchanger equations will not apply to the design of a heat exchanger reactor due to the nonlinear behavior of the reaction rate with regards to temperature. In these cases, the usual practice of conservative temperature estimations will not aid in heat transfer design, as greater detail will be required to ensure the proper operation of the reactor. Detailed kinetic models should be developed before designing the internals of the heat transfer device[1].&lt;br /&gt;
&lt;br /&gt;
===Heterogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
The problems of designing for homogenous reactions still hold for heterogenous ones, with the added complication of solid catalyst beds. Catalyst can be loaded into the tubes of a shell and tube exchanger if the exchanger is mounted vertically and a suitable retaining screen is included at either end of the design. In this instance, hot catalyst can be reliably recycled and heat treated to reactivate the catalysts and reduce the presence of reactor hot spots. High-temperature endothermic reactions will be even more difficult to design for, as their heat requirements often exceed the amount provided by a heated catalyst. In these cases, a &amp;quot;tube in tube&amp;quot; design is utilized, where feed and catalyst are heated simultaneously by an external fired heater. This can be done as long as thermal expansion does not cause damage to the tubes, or else significant catalyst poisoning can occur. The same concerns as detailed in homogenous reactions will still apply for any design utilized for heterogenous ones, so it is again recommended to develop a detailed kinetic model before determining the amount of heat transfer required to maintain proper selectivity[1].&lt;br /&gt;
&lt;br /&gt;
=Safety Considerations in Reactor Design=&lt;br /&gt;
&lt;br /&gt;
Reactors require much attention to safety details in the design process due to the hazards they impose.  They are often the highest temperature point in the process, heat of reaction may be released, and residence times can be long leading to a large inventory of chemicals.  Guidelines exist for inherently safer design principles which seek to remove or reduce process hazards, limiting the impact of unforeseen events.  These design methods should be applied throughout the design process as part of good engineering practice; they cannot be retroactively added by a process safety specialist.  Some examples are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(table 15.16 in Towler)&lt;br /&gt;
&lt;br /&gt;
Exothermic reactions require special consideration due to their potential to runaway (temperature rises from heat of reaction being released, increasing reaction rate, releasing more heat, and so on).  The reactor must be designed such that temperature can be precisely controlled and the reaction shut down if temperature control is lost.  The use of solvents or inert species also allows for temperature control by adjusting heat capacity flow rate relative to rate of heat release from the reaction.  An additional safety feature would allow the reactor to be flooded with cold solvent or diluent.&lt;br /&gt;
&lt;br /&gt;
If there is a cooling system it should be designed to return the process to desired temperature if the maximum temperature is reached.  &lt;br /&gt;
&lt;br /&gt;
Venting and relief of reactors is complicated by the potential to keep reacting if containment is lost or material is discharged into the pressure relief system.  The relief system should be designed according to guidelines outlined in the Design Institute for Emergency Relief Systems (DIERS) methodology.  The reactor design team must understand the reaction mechanism and kinetics, including the role of any compounds which may accelerate the reaction.  Details may be found on the AIChE website, [http://www.aiche.org/diers here].&lt;br /&gt;
&lt;br /&gt;
=Capital Cost of Reactors=&lt;br /&gt;
&lt;br /&gt;
Reactors are classified as pressure vessels, and as such the pressure vessel design methods can be used to estimate wall thickness and thus determine capital cost.  Additional costs come from reactor internals or other equipment.  Jacketed stirred-tank reactors require more in depth analysis than that provided by pressure vessel design.  The wall of the reaction vessel may be in compression due to the jacket.  For preliminary cost estimating a correlation for jacketed stirred tank reactors operating at pressures below 20 bar can be used:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;C_e = a + b S^n&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;C_e&amp;lt;/math&amp;gt; is the purchased equipment cost on a U.S. Gulf Coast Basis, &amp;lt;math&amp;gt;a, b&amp;lt;/math&amp;gt; are cost constants, &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is the size parameter, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the exponent for that type of equipment.  Values for &amp;lt;math&amp;gt;a, b, S, n&amp;lt;/math&amp;gt; are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(Table 7.2 Towler)&lt;br /&gt;
&lt;br /&gt;
=Conclusions=&lt;br /&gt;
&lt;br /&gt;
The conversion of feed to products is the essence of a chemical process and, thus, the reactor is the heart of a chemical plant.  When designing a reactor, an engineer must first collect data about the chemical reaction and then select appropriate reaction conditions, which will help determine suitable materials of construction.  Next, the designer should determine the rate-limiting step and, from this, the critical sizing parameter. Next, preliminary sizing, layout, and costing can be conducted for the reactor.  At this point, simulations and experiments can be conducted to verify that the proposed reactor will meet the desired specifications.  The design is optimized until these targets are met.  Throughout the design process, it is important for the engineer to consider the most appropriate type of reactor to use, any mixing or heat transfer equipment that must be added, and safety considerations.&lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
# Towler, G.P. and Sinnot, R. (2012). &#039;&#039;Chemical Engineering Design: Principles, Practice and Economics of Plant and Process Design.&#039;&#039; Elsevier.&lt;br /&gt;
#Towler, G.P. (2012). &#039;&#039;Chemical Engineering Design&#039;&#039;, PowerPoint presentation.&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1039</id>
		<title>Reactors</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1039"/>
		<updated>2014-02-10T03:54:10Z</updated>

		<summary type="html">&lt;p&gt;Julianne: /* Conclusions */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Title: Reactors&lt;br /&gt;
&lt;br /&gt;
Author: Sean Cabaniss, David Park, Maxim Slivinsky and Julianne Wagoner&lt;br /&gt;
&lt;br /&gt;
Steward: Fengqi You&lt;br /&gt;
&lt;br /&gt;
Date Presented: February 4, 2014 &lt;br /&gt;
&lt;br /&gt;
&amp;lt;!-- Table of Contents --&amp;gt;&lt;br /&gt;
__TOC__&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
&lt;br /&gt;
The center of any chemical process is the reactor, where chemical reactions are carried out to transform feeds into products.  Reactor design is a vital step in the overall design of a process.  It is important to ensure that the equipment specified will be capable of achieving the desired yields and selectivity. &lt;br /&gt;
&lt;br /&gt;
==Ideal Reactors==&lt;br /&gt;
&lt;br /&gt;
===Batch Reactors===&lt;br /&gt;
&lt;br /&gt;
In a batch reactor, the reagents are added together and allowed to react for a given amount of time.  The compositions change with time, but there is no flow through the process.  Additional reagents may be added as the reaction proceeds, and changes in temperature may also be made.  Products are removed from the reactor after the reaction has proceeded to completion.&lt;br /&gt;
&lt;br /&gt;
Batch processes are suitable for small-scale production and for processes where several different products or grades are to be produced in the same equipment.  When production volumes are relatively small and/or the chemistry is relatively complex, batch processing provides an important means of quality control.&lt;br /&gt;
&lt;br /&gt;
===Plug Flow Reactor (PFR)===&lt;br /&gt;
&lt;br /&gt;
A PFR with tubular geometry has perfect radial mixing but no axial mixing.  All materials hav the same residence time, τ, and experience the same temperature and concentration profiles along the reactor.  Equation for PFR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;dM = \Re dV&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where M = molar flow rate, dV is the incremental volume, and &amp;lt;math&amp;gt;\Re&amp;lt;/math&amp;gt; is the rate of reaction per unit volume.&lt;br /&gt;
&lt;br /&gt;
This equation can be integrated along the length of the reactor to yield relationships between reactor resident time and concentration or conversion.&lt;br /&gt;
&lt;br /&gt;
===Continuously Stirred Tank Reactor (CSTR)===&lt;br /&gt;
&lt;br /&gt;
The stirred tank reactor models a large scale conventional laboratory flask and can be considered to be the basic chemical reactor.  In a CSTR, shown in Figure 1, there is no spatial variation- the entire vessel contents are at the same temperature, pressure, and concentration.  Therefore the fluid leaving the reactor is at the same temperature and concentration as the fluid inside the reactor.&lt;br /&gt;
&lt;br /&gt;
The material balance across the CSTR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;M_\text{in}-M_\text{out}= \Re V&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Some of the material the enters the reactor can leave immediately, while some leaves much later, so there is a broad distribution in residence time as shown in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:CSTR.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Continuously Stirred Tank Reactor [1]&lt;br /&gt;
&lt;br /&gt;
More information on stirred tanks can be found in the [[#Mixing in Industrial Reactors|Mixing]] section.&lt;br /&gt;
&lt;br /&gt;
=General Reactor Design=&lt;br /&gt;
&lt;br /&gt;
The design of the reactor should not be carried out separately from the overall process design due to the significant impact on capital and operating costs on other parts of the process[1].  &lt;br /&gt;
&lt;br /&gt;
==Step 1: Collect Required Data==&lt;br /&gt;
&lt;br /&gt;
Out of all process equipment, reactor design requires the most process input data: reaction enthalpies, phase-equilibrium constants, heat and mass transfer coefficients, as well as reaction rate constants.  All of the aforementioned parameters can be estimated using simulation models or literature correlations except for reaction rate constant constants, which need to be determined experimentally [1].&lt;br /&gt;
&lt;br /&gt;
===Enthalpy of Reaction===&lt;br /&gt;
&lt;br /&gt;
: The heat given out in a chemical reaction is based on the enthalpies of the component chemical reactions, which are given for standard temperature and pressure (1 atm, 25 C).  Values for standard heats of reaction can be found tabulated in literature, or can be calculated from heats of formation or combustion.  Care must be taken to quote the basis for the heat of reaction and the states of reactants and products.&lt;br /&gt;
&lt;br /&gt;
: The following equation is used to convert enthalpies from standard conditions to the process conditions:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,P,T} = \Delta H_\text{r}^{\circ} + &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: If the effect from pressure is not significant and only Temperature needs to be accounted for, the following equation should be used:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,T} = \Delta H_\text{r}^{\circ} + \Delta H_\text{prod.} + \Delta H_\text{react.}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Equilibrium Constant and Gibbs Free Energy===&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta G = -\mathbf{R} T \ln K &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: Where &amp;lt;math&amp;gt;\Delta G&amp;lt;/math&amp;gt; is the change in Gibbs free energy from the reaction at temperature &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;\mathbf{R}&amp;lt;/math&amp;gt; is the ideal gas constant, and &amp;lt;math&amp;gt;K&amp;lt;/math&amp;gt; is the reaction equilibrium constant, given by:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;K = \prod_{i=1}^n {a_i}^{\alpha_i} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: where &amp;lt;math&amp;gt;a_i&amp;lt;/math&amp;gt; is the activity of component i, &amp;lt;math&amp;gt;\alpha_i&amp;lt;/math&amp;gt; is the stoichiometric coefficient of component &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt;, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the total number of components.&lt;br /&gt;
&lt;br /&gt;
: Equilibrium constants can be found in the literature and are useful for evaluating the rates of forward and reverse reactions.  Care must be taken to the experimental design used for the literature equilibrium constants to make sure they are consistent with the conditions of the actual process reactor.  For more complicated reactions consisting of several sequential or simultaneous reactions, the equilibrium is found by minimizing the Gibbs free energy [1].  Commercial process simulation programs use the Gibbs reactor model in this way.  &lt;br /&gt;
&lt;br /&gt;
===Reaction Mechanisms, Rate Equations, and Rate Constants===&lt;br /&gt;
&lt;br /&gt;
: In most cases the main process reaction rate equations and rate constants cannot be predicted from first principles and must be approximated [1].  This is due to the following:&lt;br /&gt;
&lt;br /&gt;
* Use of heterogeneous catalysis or enzymes which lead to Langmuir-Hinshelwood-Hougen-Watson or Michaelis-Menten kinetics&lt;br /&gt;
* Mass transfer between vapor and liquid or two liquid phases&lt;br /&gt;
* Multistep mechanisms whose rate expressions do not follow overall reaction stoichiometry&lt;br /&gt;
* Competing side reactions&lt;br /&gt;
&lt;br /&gt;
: As a result the main process reaction is usually approximated as first- or second-order over a narrow range of process conditions (temperature, pressure, species concentrations) to estimate the residence time required for a target conversion.  Rate equations are always a fit for experimental data and should thus be used for interpolation within the data.  It is important to collect more data when extrapolating, especially for exothermic reactions which have the potential for runaway [1].&lt;br /&gt;
&lt;br /&gt;
===Heat and Mass Transfer Properties===&lt;br /&gt;
&lt;br /&gt;
====Heat Transfer====&lt;br /&gt;
:: The design of internal heating or cooling devices can be found in [https://processdesign.mccormick.northwestern.edu/index.php/Heat_Transfer_Equipment Heat Transfer Equipment].  Correlations for tube-side heat-transfer coefficients for catalyst-packed tubes of a heat exchanger are given below:&lt;br /&gt;
&lt;br /&gt;
:: For heating: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = .813 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.9} e^{-6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for cooling: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = 3.50 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.7} e^{-4.6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt; is the tube-side heat transfer coefficient for a packed tube, &amp;lt;math&amp;gt;d_t&amp;lt;/math&amp;gt; is the tube diameter, &amp;lt;math&amp;gt;\lambda_f&amp;lt;/math&amp;gt; is the fluid thermal conductivity, &amp;lt;math&amp;gt;\rho_f&amp;lt;/math&amp;gt; is the fluid density, &amp;lt;math&amp;gt;u&amp;lt;/math&amp;gt; is the superficial velocity, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the effective particle diameter, and &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the fluid viscosity.&lt;br /&gt;
&lt;br /&gt;
====Diffusion Coefficients====&lt;br /&gt;
&lt;br /&gt;
:: Diffusion coefficients are necessary when mass transfer can limit the rate of reaction, such as in catalytic reactions or reactions involving mass transfer processes such as gas absorption, distillation, and liquid-liquid extraction.  &lt;br /&gt;
&lt;br /&gt;
:: The diffusivity for gases can be estimated by the following correlation (Fuller, Schettler, Giddings):&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_v = \frac{1.013 \times 10^{-7} T^{1.75} {\left ( \frac{1}{M_a} + \frac{1}{M_b} \right )}^{1/2} }{P {\left [ {\left ( \sum_{a} v_i  \right )}^{1/3}  + {\left ( \sum_{b} v_i  \right )}^{1/3}  \right ]}^2  } &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_v&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is temperature, &amp;lt;math&amp;gt;M_a , M_b&amp;lt;/math&amp;gt; are the molecular masses of components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;P&amp;lt;/math&amp;gt; is the total pressure, and &amp;lt;math&amp;gt;\sum_{a} v_i , \sum_{b} v_i&amp;lt;/math&amp;gt; are the summation of special diffusion volume coefficients for components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, given in the table below:&lt;br /&gt;
&lt;br /&gt;
:: (volume coefficient table from towler)&lt;br /&gt;
&lt;br /&gt;
:: Wilke and Chang developed a correlation for estimating the diffusivity of components in the liquid phase:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_L =  \frac{1.173 \times 10^{-13} {(\phi M_w)}^{1/2} T}{\mu V_m^{.6}} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid diffusivity, &amp;lt;math&amp;gt;\phi&amp;lt;/math&amp;gt; is an association factor for the solvent, &amp;lt;math&amp;gt;M_w&amp;lt;/math&amp;gt; is the molecular mass of the solvent, &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the solvent viscosity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is the temperature, and &amp;lt;math&amp;gt;V_m&amp;lt;/math&amp;gt; is the molar volume of the solute at its boiling point.  This correlation holds for organic compounds in water but not for water in organic solvents.&lt;br /&gt;
&lt;br /&gt;
====Mass Transfer====&lt;br /&gt;
&lt;br /&gt;
:: For multiphase reactors it is necessary to estimate the mass transfer coefficient.  &lt;br /&gt;
&lt;br /&gt;
:: The equation of Gupta and Thodos predicts the mass transfer coefficient for a packed bed of particles:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac{k d_p}{D} = 2.06 \frac{1}{\epsilon} {Re}^{.425} {Sc}^{.33} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the particle diameter, &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;Re&amp;lt;/math&amp;gt; is the Reynolds number calculated using the superficial velocity through the bed, &amp;lt;math&amp;gt;Sc&amp;lt;/math&amp;gt; is the Schmidt number,  and &amp;lt;math&amp;gt;\epsilon&amp;lt;/math&amp;gt; is the bed void fraction.&lt;br /&gt;
&lt;br /&gt;
:: Mass transfer between vapor and liquid in an agitated vessel can be described by the Van&#039;t Riet equations:&lt;br /&gt;
&lt;br /&gt;
:: For air-water: &amp;lt;math&amp;gt; k_L a = 0.026 {\left ( \frac{P_a}{V_{liq}} \right )}^{.4} Q^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for air-water-electrolyte: &amp;lt;math&amp;gt; k_L a = 0.002 {\left ( \frac{P_a}{V_{liq}} \right )}^{.7} Q^{.2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k_L&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; is the interfacial area per unit volume, &amp;lt;math&amp;gt;Q&amp;lt;/math&amp;gt; is the gas volumetric flow rate, &amp;lt;math&amp;gt;V_{liq}&amp;lt;/math&amp;gt; is the liquid volume, and &amp;lt;math&amp;gt;P_a&amp;lt;/math&amp;gt; is the agitator power input.&lt;br /&gt;
&lt;br /&gt;
:: Fair&#039;s method for calculating the mass transfer coefficient for low viscosity systems is given by:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac {{(k_L a)}_{system}}{{(k_L a)}_{air-water}} = {\left ( \frac{D_{L,system}}{D_{L, air-water}} \right )}^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid phase diffusivity.  &lt;br /&gt;
&lt;br /&gt;
:: Mass transfer correlations for vapor-liquid systems should be used with caution when there are surfactants [1].&lt;br /&gt;
&lt;br /&gt;
==Step 2: Select Reaction Conditions==&lt;br /&gt;
&lt;br /&gt;
===Chemical or Biochemical Reaction===&lt;br /&gt;
&lt;br /&gt;
===Catalyst===&lt;br /&gt;
&lt;br /&gt;
===Temperature===&lt;br /&gt;
&lt;br /&gt;
===Pressure===&lt;br /&gt;
&lt;br /&gt;
===Reaction Phase===&lt;br /&gt;
&lt;br /&gt;
===Solvent===&lt;br /&gt;
&lt;br /&gt;
===Concentrations===&lt;br /&gt;
&lt;br /&gt;
==Step 3: Determine Materials of Construction==&lt;br /&gt;
&lt;br /&gt;
A preliminary analysis of the materials of construction for the reactor can be conducted after the reaction conditions have been specified.  Particularly important in this analysis are the temperatures and pressures the process will run at.  At extreme conditions, costly alloys may need to be used.  In addition, the designer must ensure that process streams will not react with materials used in process equipment.&lt;br /&gt;
&lt;br /&gt;
==Step 4: Determine Rate-Limiting Step and Critical Sizing Parameters==&lt;br /&gt;
&lt;br /&gt;
The key parameters that determine the extent of reaction must be identified by carrying out an experiment plan with a broad range of conditions.  In general, the rate of reaction is usually limited by the following fundamental processes.  The first three have been discussed in previous sections.  Mixing will be developed in more detail in its own section. &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Intrinsic kinetics:&#039;&#039;&#039; There will usually be one slowest step that governs the overall rate.&lt;br /&gt;
* &#039;&#039;&#039;Mass-transfer rate:&#039;&#039;&#039; In multiphase reactions and processes that use porous heterogeneous catalysis, mass transfer can be particularly important.  Often, careful experimentation will be needed to separate the effects of mass transfer and the rate of reaction to determine which is the rate-limiting step. &lt;br /&gt;
* &#039;&#039;&#039;Heat-transfer rate:&#039;&#039;&#039; The rate of heat addition can become the governing parameter for endothermic reactions.  Heat-transfer devices such as heat exchangers or fired heaters may need to be used.&lt;br /&gt;
* &#039;&#039;&#039;Mixing:&#039;&#039;&#039; The time taken to mix the reagents can be the limiting step for very fast reactions.&lt;br /&gt;
&lt;br /&gt;
Once rate data have been collected, the designer can fit a suitable model of reaction kinetics.  Next, a critical sizing parameter can be specified for the reactor.  This will usually be one of the parameters given in Figure 1.  &lt;br /&gt;
&lt;br /&gt;
:: [[File:Sizing_Parameters.PNG]]&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;i&amp;gt;Figure 1&amp;lt;/i&amp;gt;. Reactor Sizing Parameters [1]&lt;br /&gt;
&lt;br /&gt;
==Step 5: Preliminary Sizing, Layout, and Costing of Reactor==&lt;br /&gt;
&lt;br /&gt;
The designer can estimate the reactor and catalyst volume from the sizing parameter.  This calculation will yield a value for the active reacting volume necessary.  Clearly, the actual reactor will need additional space.  The geometry of the reactor will depend on the desired flow pattern and mixing requirements [1].  The cost of most reactors can be estimated by determining the cost of a pressure vessel with the same dimensions and adding in the cost of the internals [1].&lt;br /&gt;
&lt;br /&gt;
==Step 6: Estimate Reactor Performance==&lt;br /&gt;
&lt;br /&gt;
At this point in the design process, it is important to verify that the proposed reactor will achieve the target conversions and selectivities.  A combination of experimental methods, such as pilot plants, and computer simulations can be used to predict the full-scale reactor performance.&lt;br /&gt;
&lt;br /&gt;
==Step 7: Optimize the Design==&lt;br /&gt;
&lt;br /&gt;
The reactor is typically a relatively small fraction of the total capital cost [1], so minimal time should be devoted to optimization to reduce the reactor cost.  However, if the target conversion, yields, and selectivities are not met, the process economics could be significantly impacted.  Therefore, steps 2 to 6 should be repeated at least until the minimum specifications are met [1].&lt;br /&gt;
&lt;br /&gt;
=Mixing in Industrial Reactors=&lt;br /&gt;
&lt;br /&gt;
Mixing plays an important role in many processing stages, including reactor performance.  It is critical to select the appropriate method of mixing in order to ensure the process produces the desired process yields, product purity, and cost effectiveness.  &lt;br /&gt;
&lt;br /&gt;
Correlations such as the Reynolds number can be used to determine the extent of mixing and correlate power consumption and heat transfer to the reactor shell [2].  In some cases, simple correlations may not be adequate:&lt;br /&gt;
* If dead zones cannot be tolerated for reasons of product purity, safety, 	etc.&lt;br /&gt;
* If reactor internals are complex&lt;br /&gt;
* If reaction selectivity is very sensitive to mixing&lt;br /&gt;
In these cases, it is usually necessary to carry out a more sophisticated analysis of mixing:&lt;br /&gt;
* Use computational fluid dynamics to model the reactor &lt;br /&gt;
* Use physical modeling (“cold flow”) experiments&lt;br /&gt;
* Use tomography methods to look at performance of real reactor&lt;br /&gt;
&lt;br /&gt;
==Gas Mixing==&lt;br /&gt;
Gases mix easily because of their low viscosities.  The mixing given by turbulent flow in a length of pipe is usually sufficient for most purposes [1].  Orifices, vanes, and baffles can be used to increase turbulence.  &lt;br /&gt;
&lt;br /&gt;
==Liquid Mixing==&lt;br /&gt;
*&#039;&#039;&#039;Inline Mixing&#039;&#039;&#039; Inline mixers can be used for the continuous mixing of low-viscosity fluids.  One inexpensive method involves the use of static devices that promote turbulent mixing in pipelines.  Some typical designs are shown in Figures 2(a), (b), and (c).&lt;br /&gt;
&lt;br /&gt;
::[[File:Static_Mixers.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 2.&#039;&#039; Inline mixers: (a) tee; (b) injection; (c) annular [1]&lt;br /&gt;
&lt;br /&gt;
:: When mixing low viscosity fluids (&amp;lt;50 mNs/m&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) with similar densities and flow rates, a simple mixing tee, Figure 2(a), followed by a length of pipe equal to 10 to 20 pipe diameters, is suitable [1].&lt;br /&gt;
:: When one flow is much lower than the other, an injection mixer, Figure 2(b&amp;amp;c), should be used.  A satisfactory blend will be achieved in about 80 pipe diameters [1].  Baffles or other flow restrictions can be used to reduce the mixing length required.  These mixers work by introducing one fluid into the flowing stream of the other through a concentric pipe or an annular array of jets [1].&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;Stirred Tanks&#039;&#039;&#039;  Stirred tanks were discussed in the [[#Ideal Reactors|Ideal Reactors]] section.  Mixing is conducted by an impeller mounted on a shaft driven by a motor.  The reactor usually contains baffles or other internals to induce turbulence and prevent the contents from swirling and creating a vortex.  Typically, baffles are 1/10 of diameter and located 1/20 of diameter from wall [2].  A typical arrangement of agitator and baffles in a stirred tank, and the flow pattern generated, is shown in Figure 3.  Mixing occurs through the bulk flow of the liquid and by the motion of the turbulent eddies created by the agitator.  Bulk flow is the predominant mixing mechanism required for the blending of miscible liquids and for solids suspension. Turbulent mixing is important in operations involving mass and heat transfer, which can be considered as shear-controlled processes [1].  &lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Arrangements.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 3.&#039;&#039; Agitator arrangements and flow patterns [1]&lt;br /&gt;
&lt;br /&gt;
:At high Reynolds numbers (low viscosity), one of the three basic types of impeller shown in Figure 4 should be used.  For processes controlled by turbulent mixing, the flat-bladed (Rushton) turbines are appropriate.  For bulk mixing, the propeller and pitched-bladed turbines are appropriate [1]. &lt;br /&gt;
&lt;br /&gt;
::[[File:Impeller_Types.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 4.&#039;&#039; Basic impeller types [1]&lt;br /&gt;
&lt;br /&gt;
:For more viscous fluids, paddle, anchor, and helical ribbon agitators (Figures 5(a), (b), and (c)), are used [1].  The selection chart given in Figure 6 can be used to make a preliminary selection of the agitator type, based on the liquid viscosity and tank volume [1].&lt;br /&gt;
&lt;br /&gt;
::[[File:Low_Speed_Agitators.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 5.&#039;&#039; Low-speed agitators [1]&lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Selection_Guide.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 6.&#039;&#039; Agitator selection guide [1]&lt;br /&gt;
&lt;br /&gt;
==Gas-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Gases can be mixed into liquids using the inline mixing or stirred tank methods discussed previously.  A special type of gas injector, called a sparger (shown in Figure 7) can also be used.  This is a long injection tube with multiple holes drilled in it.  &lt;br /&gt;
&lt;br /&gt;
[[File:Gas_Sparger.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 7.&#039;&#039; Gas sparger [1]&lt;br /&gt;
&lt;br /&gt;
A small flow of liquid can be dispersed into a gas stream using a spray nozzle (Figure 8).&lt;br /&gt;
&lt;br /&gt;
[[File:Liquid_Injection.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 8.&#039;&#039; Liquid injection into gas [1]&lt;br /&gt;
&lt;br /&gt;
==Solid-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Solids are usually added to a liquid in a stirred tank at atmospheric pressure.  In order to allow more accurate control of dissolved solid concentration, mixing of solids and liquids is often carried out as a batch operation [1].&lt;br /&gt;
&lt;br /&gt;
=Types of Reactors=&lt;br /&gt;
&lt;br /&gt;
Most reactors used in industry approximate the ideal batch reactor, PFR, or CSTR.  In fact, real reactors can be modeled as networks or combinations of multiple plug-flow and stirred-tank reactors [1]. Examples of real reactors that approximate the flow pattern of ideal reactors are shown in Figure 10.  These reactors will be discussed in more detail in the following sections.&lt;br /&gt;
&lt;br /&gt;
[[File:Types_of_Reactors.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 10.&#039;&#039; Ideal reactors and some real reactors that approximate the same flow pattern [1]&lt;br /&gt;
&lt;br /&gt;
==Vapor-Liquid Reactors==&lt;br /&gt;
&lt;br /&gt;
Vapor-liquid reactions are important in many chemical processes.  For example, oxygenation and hydrogenation reactions are usually carried out with the organic component in the liquid phase [1].  A summary of common goals for vapor-liquid reactors and the reactors used to achieve those goals is shown in Table 1.&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Goal !! Types of Vapor-Liquid Reactors !! Examples&lt;br /&gt;
|-&lt;br /&gt;
| Maintain low concentration of gas component in liquid || &lt;br /&gt;
* Sparged stirred tank reactor&lt;br /&gt;
* Sparged tubular reactor&lt;br /&gt;
 || &lt;br /&gt;
* Liquid phase oxidations using air&lt;br /&gt;
* Fermenters&lt;br /&gt;
|-&lt;br /&gt;
| Contact gas and liquid over catalyst || &lt;br /&gt;
* Trickle bed reactor &lt;br /&gt;
*Slurry phase reactor &lt;br /&gt;
|| &lt;br /&gt;
* Catalytic hydrogenation&lt;br /&gt;
|-&lt;br /&gt;
| React a component out of the gas phase to high conversion || &lt;br /&gt;
* Multi-stage V/L contactor (reactive absorption column) &lt;br /&gt;
* Venturi scrubber &lt;br /&gt;
|| &lt;br /&gt;
*Chemisorption &lt;br /&gt;
*Acid gas scrubbing&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 1.&#039;&#039; Summary of Vapor-Liquid Reactors [2]&lt;br /&gt;
&lt;br /&gt;
If the residence time requirements are short enough, vapor-liquid contacting columns are preferred because of the high area for mass transfer.  Trayed or packed columns can be used to contact vapor and liquid for reaction.  The column packing may be catalytically active or could be inert packing [2].  Please see the [[separation processes]] section of this website for more information on the types of processes used for the third goal listed.  &lt;br /&gt;
&lt;br /&gt;
Stirred tanks or tubular reactors are used when long residence time is needed for the liquid phase [1].  These types of reactors and more will be discussed in the [[#Catalytic Processes|catalytic processes]] section of this page.&lt;br /&gt;
&lt;br /&gt;
The reactors listed under the first goal in the table are unique to vapor-liquid processes.  The basic concept of a sparger was discussed in the [[#Mixing in Industrial Reactors|mixing]] section.  Sparged reactors are shown in Figure 11. &lt;br /&gt;
&lt;br /&gt;
[[File:Sparged_Reactors.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 11.&#039;&#039; Sparged stirred tank and tubular reactors [2]&lt;br /&gt;
&lt;br /&gt;
The gas is bubbled up through the liquid in a sparged reactor.  For smaller bubbles, a porous pipe diffuser can be used instead [2].  The designer must allow some disengaging space at the top of the reactor, or entrainment will be excessive.  If the gas flow rate is large then the gas flow can be used as the primary means of agitation.  Perry&#039;s Handbook suggests the following air rates (ft&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/ft&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;min) for agitating an open tank full of water at 1 atm:&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Degree of agitation !! Liquid depth 9 ft !! Liquid depth 3 ft&lt;br /&gt;
|-&lt;br /&gt;
| Moderate || 0.65 || 1.3&lt;br /&gt;
|-&lt;br /&gt;
| Complete || 1.3 || 2.6&lt;br /&gt;
|-&lt;br /&gt;
| Violent || 3.1 || 6.2&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 2.&#039;&#039; Summary of suggested flow rates for gas flow as agitation [2]&lt;br /&gt;
&lt;br /&gt;
==Catalytic Processes==&lt;br /&gt;
A catalyst increases the rate of a chemical reaction without itself becoming permanently changed by the reaction.  Catalysts allow reactions to be run in smaller reactors and operated at lower temperatures and improve selectivity.  Therefore, catalysts will almost always lead to a more economically attractive process than a noncatalytic route.  [1]  Catalysts are normally selected based on performance rather than price since increases catalysts selectivity will almost always quickly pay back any price premium expected by the manufacturer.  It is important to test the catalysts under conditions that are representative of process conditions [1].  &lt;br /&gt;
&lt;br /&gt;
Catalyst activity often deteriorates over time [2].  Common causes of deactivation include:&lt;br /&gt;
* Poisoning by components in feed (e.g. base destroys acid catalyst)&lt;br /&gt;
* Blockage of pores or active sites by byproducts such as coke&lt;br /&gt;
* Thermal or hydrothermal modification of catalyst structure&lt;br /&gt;
Slow activity loss can be compensated by:&lt;br /&gt;
* Putting in more catalyst (lower space velocity)&lt;br /&gt;
* Slowly raising reactor temperature&lt;br /&gt;
Rapid activity loss may require moving the catalyst to a continuous regeneration zone [2].&lt;br /&gt;
&lt;br /&gt;
Catalytic reactions can be either homogenous (catalyst is in the same phase as the reagents) or heterogeneous (catalyst is not in the same phase as the reagents).&lt;br /&gt;
&lt;br /&gt;
===Homogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
:Homogeneous catalysis can be conducted in the basic batch reactors, PFRs, or CSTRs that have already been discussed.  However, when the catalyst is in the same phase as the reagent, recovering this catalyst after the reaction can be difficult and expensive, particularly if the catalyst is sensitive to high temperatures [2].  Providing adequate interfacial area is also a challenge of homogeneous catalysis.  A reaction often only occurs at the interface or in the boundary layer between the catalyst and the reagents.  Increased mixing can increase the rate and selectivity of the reaction, but this can require detailed and expensive mixing equipment [2].  For these reasons, reactions requiring homogenous catalysts are not usually used unless an easy separation can be found to recover the catalyst.&lt;br /&gt;
&lt;br /&gt;
===Heterogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
: Catalyst recovery in processes involving heterogeneous catalysis is much easier.  However, the rate of reaction is limited by the available inter-phase surface area and the mass transfer of reagents and products to and from the interface [2].  Therefore, reactors for these processes are design to reduce these limitations.&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Fixed Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: In a fixed-bed reactor, the reagent flows over a stationary bed of packed catalyst [1].  This is the most common type of reactor used for heterogeneous catalysis as long as the catalyst does not require continuous regeneration and the reaction mixture does not require high agitation [2].  The amount of catalyst necessary can be found using the following equations:&lt;br /&gt;
&lt;br /&gt;
::[[File:Catalyst_Calcs.png]]&lt;br /&gt;
&lt;br /&gt;
:: The ratio of the bed height (L) to the diameter (D) determines the distribution of reagents and the pressure drop across the bed.  An increased L/D ratio creates a more even distribution and less change of localized deactivation or &amp;quot;hot spots.&amp;quot;  However, increasing the L/D ratio increases the pressure drop, requiring higher compression and pumping costs [2].  The Ergun equation can be used to calculate the pressure drop in packed beds. &lt;br /&gt;
&lt;br /&gt;
:: [[File:Ergun.png]]&lt;br /&gt;
&lt;br /&gt;
::Where V is the superficial velocity (volume flowrate divided by cross-sectional area), μ is the viscosity, D&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; is the particle diameter and ε is the porosity of the packed bed [2]. Given these trade-offs, it may make sense to split the catalyst over several beds [2].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Radial Flow Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: When there is very little pressure drop available, the L/D ratio must be much less that one [2].  A common solution to this is to use a radial flow reactor with the catalyst contained in an annulus between vertical perforated or slotted screens.  The fluid flows radially through the bed and the direction of flow can be either inwards or outwards [1].  An example of a radial flow reactor is shown in Figure 12.&lt;br /&gt;
&lt;br /&gt;
:: [[File:Radial_flow.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 12.&#039;&#039; Radial flow reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Moving Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: A moving bed reactor is similar to a radial flow reactor, but the catalyst is moved through the annular space [2].&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Fluidized Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: If the fluid flow is up through the catalyst bed then the bed can become fluidized if the pressure drop is high enough to support the weight of the catalyst.  Fluidized beds usually have a lower pressure drop than down flow at high flow rates [2].  In addition, fluidizing the catalyst eases the transition from one reaction zone to another.&lt;br /&gt;
&lt;br /&gt;
:: The catalyst bed is fluidized using a distributor to inject fluidization fluid, which is not necessarily the feed.  Fluidization occurs when the bed pressure drop balances the weight of the particles, or &lt;br /&gt;
&lt;br /&gt;
::[[File:Fluid_Eqn.png]]&lt;br /&gt;
&lt;br /&gt;
::Where ∆P is the pressure drop, ρ&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; and ρ&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; are the densities of the particle and gas respectively, ε&amp;lt;sub&amp;gt;m&amp;lt;/sub&amp;gt; is the porosity at minimum fluidization, and L is the height of the bed [2].  Fluidization can only be used with relatively small sized particles (&amp;lt;300 micrometers with gases).  The solid material must be strong enough to withstand attrition in the fluidized bed and cheap enough to allow for make-up to replace attrition losses [1].  A fluidized-bed reactors must also make allowance for separating the fluid-phase product from entrained solids so that solids are not carried out of the reactor [1].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Trickle Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Trickle bed reactors are used when all three phases are involved in the reaction.  They must ensure good distribution of both the vapor and the liquid, without channeling of either phase [2].  In a trickle bed reactor, the liquid flows down over the surface of a stationary bed of solids.  The gas phase usually also flows downwards with the liquid, but countercurrent flow is feasible as long as flooding conditions are avoided [1].  This requires a more sophisticated distributor like those used for packed distillation columns [2].  An example of a trickle bed reactor is shown in Figure 13.&lt;br /&gt;
&lt;br /&gt;
::[[File:trickle_bed.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 13.&#039;&#039; Example of trickle bed reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Slurry Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
::Liquid is mixed up in the liquid in slurry phase reactions.  Slurry reactors are prone to attrition of the solids, caused by pumping or agitation of the liquid [1].  Slurry-phase operation is usually not preferred for processes that use heterogeneous catalysts because the catalyst tends to become eroded and can be difficult to recover from the liquid [1].&lt;br /&gt;
&lt;br /&gt;
==Bioreactors==&lt;br /&gt;
&lt;br /&gt;
Bioreactors have requirements that add complexity compared to simpler chemical reactors.  These reactions often are three-phase (cells, water, and air), need sterile operation, and require heat removal [2].  However, biological systems have the following advantages:&lt;br /&gt;
* Some products can only be made by biological routes&lt;br /&gt;
* Large molecules such as proteins can be made&lt;br /&gt;
* Selectivity for desired product can be very high&lt;br /&gt;
* Products are often very valuable &lt;br /&gt;
&lt;br /&gt;
===Enzyme Catalysis===&lt;br /&gt;
&lt;br /&gt;
Enzymes are the biological equivalent of catalysts.  They can sometimes be isolated from host cells. They are usually proteins and, therefore, most are thermally unstable above ~60 degrees Celsius and active only in water at a restricted pH [2].  Enzymes can sometimes be absorbed onto a solid or encapsulated in a gel without losing their structure.  In this case, they can be used in a conventional fixed bed reactor.  Typically, homogenous reactions are carried out in batch reactors.&lt;br /&gt;
&lt;br /&gt;
===Cell Growth===&lt;br /&gt;
&lt;br /&gt;
Cell growth goes through several phases during a batch, shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
[[File:Cell_Growth_Rate.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 15.&#039;&#039; Cell growth and product formation in batch fermentation [1]&lt;br /&gt;
&lt;br /&gt;
* I: Innoculation: slow growth while cells adapt to new environment&lt;br /&gt;
* II: Exponential growth: growth rate proportional to cell mass&lt;br /&gt;
* III: Slow growth as substrate or other factors begin to limit rate&lt;br /&gt;
* IV: Stationary phase: cell growth rate and death rate are equal&lt;br /&gt;
* V: Decline phase: cells die or sporulate, often caused by product build-up&lt;br /&gt;
&lt;br /&gt;
Intracellular product accumulation is slow at first because there are a limited number of cells [2].  However, it is important to note that product accumulation continue even after the live cell count falls, since dead cells still contain product.&lt;br /&gt;
&lt;br /&gt;
The growth rate of cells can be limited by factors such as:&lt;br /&gt;
* The availability of the primary subtrate&lt;br /&gt;
** Typically glucose, fructose, sucrose, or other carbohydrate&lt;br /&gt;
* The availability of other metabolites&lt;br /&gt;
** Vitamins, minerals, hormones, or enzyme cofactors&lt;br /&gt;
* The availability of oxygen&lt;br /&gt;
* Mass transfer properties of the reaction system&lt;br /&gt;
* Inhibition or poisoning by products or byproducts&lt;br /&gt;
* High temperature caused by inadequate heat removal&lt;br /&gt;
&lt;br /&gt;
All of these factors are exacerbated at higher cell concentrations [2].  Clearly, biological reactions must be carefully controlled.  An addition complication in dealing with biological reactions is that the product formation is often not closedly tied to the rate of consumption of the substrate [2].  This is because of the fact that the product may be made by the cells at a relatively low concentration and the fact that some cell metabolic processes may not be involved in formation of the desired product [2].&lt;br /&gt;
&lt;br /&gt;
===Types of Bioreactors===&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Stirred Tank Fermenter&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: The stirred tank fermenter is the most common reactor used for biological reactions [2] and is similar to the stirred tanks discussed previously.  It can be used in both batch and continuous mode.  Figure 14 shows a stirred tank fermenter.&lt;br /&gt;
&lt;br /&gt;
::[[File:Fermentation.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 14.&#039;&#039; Fermentation reactor [1]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Shaftless Bioreactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Shaftless bioreactors are used when the pump shaft seal is considered a non-permissible source of contamination.  These reactors use gas flow to provide agitation of the liquid.  The design requires careful attention to hydraulics [2].  Examples of shaftless bioreactors are shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
::[[File:Shaftless.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 15.&#039;&#039; Examples of shaftless bioreactors [2]&lt;br /&gt;
&lt;br /&gt;
=Heating and Cooling of Reacting Systems=&lt;br /&gt;
&lt;br /&gt;
Exothermic and endothermic reactions will require reactors with heat control systems to prevent operating conditions from falling out of the desired range. Before considering the design of a heating or cooling system to couple with a reactor, a few important questions should be asked[1].&lt;br /&gt;
&lt;br /&gt;
1. Can the reaction be carried out adiabatically?&lt;br /&gt;
&lt;br /&gt;
2. Can the feeds provide the required heating or cooling? Staged addition of feed can help alleviate the cost of adding a heat exchange network or heat transfer jacket.&lt;br /&gt;
&lt;br /&gt;
3. Would it be more cost effective to carry out the heat exchange outside of the reactor?&lt;br /&gt;
&lt;br /&gt;
4. Would it be more effective to carry out the reaction inside of a heat transfer device? If a reaction requires only a small volume or small quantities of catalyst, it may be possible to utilize a heat exchanger as a temperature controller and as a reaction location.&lt;br /&gt;
&lt;br /&gt;
5. Does the proposed design allow the process to be started up and shut down smoothly?&lt;br /&gt;
&lt;br /&gt;
6. Are there safety concerns with heating or cooling the reactor?&lt;br /&gt;
&lt;br /&gt;
After considering these aspects of the design, commercial design software such as HYSYS or UniSim can be utilized to estimate heating/cooling requirements. Once this is done, design of the heat exchange system can begin, with different reactor types and reactions requiring different design approaches[1].&lt;br /&gt;
&lt;br /&gt;
==Stirred Tank Reactors==&lt;br /&gt;
&lt;br /&gt;
Heating and cooling of a stirred tank reactor is done to ensure a uniform reaction temperature, so that there do not exist hot or cold spots within the reactor that can negatively affect selectivity[1]. &lt;br /&gt;
&lt;br /&gt;
For indirect heat transfer, there are three main alternatives: a heat transfer jacket, an internal coil, and an external heat transfer circuit. A jacket is utilized as long as there is sufficient heat transfer area for the heat exchange to take place. If this is not the case, coils are used, although the inclusion of a heating coil will significantly increase reactor volume and utility requirements, leading to a large increase in price for the reactor. External circuits contain a heat exchanger that will heat or cool the product stream as required and recycle this material to the reactor to control temperature. External circuits are useful because they can be designed independently of the reactor; sizing the required pumps and heat exchangers will not fundamentally change the activity of the reactor. For any of these choices, it should be ensure that no corrosion of the involved piping will occur, as utility streams bleeding into the reactor can have a very negative impact on the selectivity of the reaction and on the operation of the reactor on a whole[1].&lt;br /&gt;
&lt;br /&gt;
Some direct heat transfer alternatives also exist, as long the reaction in question is compatible with the addition of extra water. Steam can be pumped into the reactor to maintain temperature, which will eliminate the need to design heat transfer surfaces. However, steam injected into the system cannot be recovered, so this will lead to an increase in annual utility costs. Additionally, vapor will be produced if it did not exist previously, so reactors will need to be redesigned to accommodate a vapor removal system[1]. &lt;br /&gt;
&lt;br /&gt;
==Catalytic Reactors==&lt;br /&gt;
&lt;br /&gt;
===Slurry Reactors===&lt;br /&gt;
&lt;br /&gt;
Since slurry reactors already use a mix of solid catalyst and liquid reactants, any of the methods described in the Stirred Tank Reactors section can be applied to slurry reactors. It is not recommended to use internal coils in such a design, as reactor slurry will often corrode heat exchange material very easily[1].&lt;br /&gt;
&lt;br /&gt;
===Fixed-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Indirect heat transfer is not often utilized to control the temperature in fixed-bed reactors, as it hard to maintain uniform temperature across the radial section of the catalyst bed. In cases where temperature control is required, the reactor will be split into smaller sections. After each bed, there will be an heat transfer stage, where the product stream is heated or cooled as necessary and returned to the next catalytic segment[1]. &lt;br /&gt;
&lt;br /&gt;
===Fluidized-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Fluidized bed reactors have high heat-transfer coefficients, so indirect heat transfer is highly effective. The heat capacity of the solid catalyst particles can be used as a heat transfer medium themselves; heated catalyst contains a reaction location and the necessary heat to maintain the required temperature. Deactivated catalyst is heated during reactivation and recycle[1].&lt;br /&gt;
&lt;br /&gt;
==Heat Exchangers as Reactors==&lt;br /&gt;
&lt;br /&gt;
It is sometimes necessary to design a reactor as a heat transfer device, like when it is necessary to operate a reactor isothermally and there is a large heat of reaction. Some common situations include high-temperature endothermic reactions that quickly quench without continuous heat input and low-temperature exothermic reactions that must be kept at constant temperature to maintain selectivity. The most common heat transfer equipment used for reactions are shell and tube heat exchangers and fired heaters[1].&lt;br /&gt;
&lt;br /&gt;
===Homogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
If the reaction does not required a catalyst, than the heat transfer design is the same as a conventional heat transfer device, with some important changes in the thermal design. The usual heat exchanger equations will not apply to the design of a heat exchanger reactor due to the nonlinear behavior of the reaction rate with regards to temperature. In these cases, the usual practice of conservative temperature estimations will not aid in heat transfer design, as greater detail will be required to ensure the proper operation of the reactor. Detailed kinetic models should be developed before designing the internals of the heat transfer device[1].&lt;br /&gt;
&lt;br /&gt;
===Heterogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
The problems of designing for homogenous reactions still hold for heterogenous ones, with the added complication of solid catalyst beds. Catalyst can be loaded into the tubes of a shell and tube exchanger if the exchanger is mounted vertically and a suitable retaining screen is included at either end of the design. In this instance, hot catalyst can be reliably recycled and heat treated to reactivate the catalysts and reduce the presence of reactor hot spots. High-temperature endothermic reactions will be even more difficult to design for, as their heat requirements often exceed the amount provided by a heated catalyst. In these cases, a &amp;quot;tube in tube&amp;quot; design is utilized, where feed and catalyst are heated simultaneously by an external fired heater. This can be done as long as thermal expansion does not cause damage to the tubes, or else significant catalyst poisoning can occur. The same concerns as detailed in homogenous reactions will still apply for any design utilized for heterogenous ones, so it is again recommended to develop a detailed kinetic model before determining the amount of heat transfer required to maintain proper selectivity[1].&lt;br /&gt;
&lt;br /&gt;
=Safety Considerations in Reactor Design=&lt;br /&gt;
&lt;br /&gt;
Reactors require much attention to safety details in the design process due to the hazards they impose.  They are often the highest temperature point in the process, heat of reaction may be released, and residence times can be long leading to a large inventory of chemicals.  Guidelines exist for inherently safer design principles which seek to remove or reduce process hazards, limiting the impact of unforeseen events.  These design methods should be applied throughout the design process as part of good engineering practice; they cannot be retroactively added by a process safety specialist.  Some examples are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(table 15.16 in Towler)&lt;br /&gt;
&lt;br /&gt;
Exothermic reactions require special consideration due to their potential to runaway (temperature rises from heat of reaction being released, increasing reaction rate, releasing more heat, and so on).  The reactor must be designed such that temperature can be precisely controlled and the reaction shut down if temperature control is lost.  The use of solvents or inert species also allows for temperature control by adjusting heat capacity flow rate relative to rate of heat release from the reaction.  An additional safety feature would allow the reactor to be flooded with cold solvent or diluent.&lt;br /&gt;
&lt;br /&gt;
If there is a cooling system it should be designed to return the process to desired temperature if the maximum temperature is reached.  &lt;br /&gt;
&lt;br /&gt;
Venting and relief of reactors is complicated by the potential to keep reacting if containment is lost or material is discharged into the pressure relief system.  The relief system should be designed according to guidelines outlined in the Design Institute for Emergency Relief Systems (DIERS) methodology.  The reactor design team must understand the reaction mechanism and kinetics, including the role of any compounds which may accelerate the reaction.  Details may be found on the AIChE website, [http://www.aiche.org/diers here].&lt;br /&gt;
&lt;br /&gt;
=Capital Cost of Reactors=&lt;br /&gt;
&lt;br /&gt;
Reactors are classified as pressure vessels, and as such the pressure vessel design methods can be used to estimate wall thickness and thus determine capital cost.  Additional costs come from reactor internals or other equipment.  Jacketed stirred-tank reactors require more in depth analysis than that provided by pressure vessel design.  The wall of the reaction vessel may be in compression due to the jacket.  For preliminary cost estimating a correlation for jacketed stirred tank reactors operating at pressures below 20 bar can be used:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;C_e = a + b S^n&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;C_e&amp;lt;/math&amp;gt; is the purchased equipment cost on a U.S. Gulf Coast Basis, &amp;lt;math&amp;gt;a, b&amp;lt;/math&amp;gt; are cost constants, &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is the size parameter, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the exponent for that type of equipment.  Values for &amp;lt;math&amp;gt;a, b, S, n&amp;lt;/math&amp;gt; are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(Table 7.2 Towler)&lt;br /&gt;
&lt;br /&gt;
=Conclusions=&lt;br /&gt;
&lt;br /&gt;
The conversion of feed to products is the essence of a chemical process and, thus, the reactor is the heart of a chemical plant.  When designing a reactor, an engineer must first collect data about the chemical reaction and then select appropriate reaction conditions, which will help determine suitable materials of construction.  Next, the designer should determine the rate-limiting step and, from this, the critical sizing parameter. Next, preliminary sizing, layout, and costing can be conducted for the reactor.  At this point, simulations and experiments can be conducted to verify that the proposed reactor will meet the desired specifications.  The design is optimized until these targets are met.  Throughout the design process, it is important for the engineer to consider the most appropriate type of reactor to use, any mixing or heat transfer equipment that must be added, and safety considerations.&lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
# Towler, G.P. and Sinnot, R. (2012). &#039;&#039;Chemical Engineering Design: Principles, Practice and Economics of Plant and Process Design.&#039;&#039; Elsevier.&lt;br /&gt;
#Towler, G.P. (2012). &#039;&#039;Chemical Engineering Design&#039;&#039;, PowerPoint presentation.&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
	<entry>
		<id>https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1033</id>
		<title>Reactors</title>
		<link rel="alternate" type="text/html" href="https://processdesign.mccormick.northwestern.edu/index.php?title=Reactors&amp;diff=1033"/>
		<updated>2014-02-10T03:45:19Z</updated>

		<summary type="html">&lt;p&gt;Julianne: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Title: Reactors&lt;br /&gt;
&lt;br /&gt;
Author: Sean Cabaniss, David Park, Maxim Slivinsky and Julianne Wagoner&lt;br /&gt;
&lt;br /&gt;
Steward: Fengqi You&lt;br /&gt;
&lt;br /&gt;
Date Presented: February 4, 2014 &lt;br /&gt;
&lt;br /&gt;
&amp;lt;!-- Table of Contents --&amp;gt;&lt;br /&gt;
__TOC__&lt;br /&gt;
&lt;br /&gt;
=Introduction=&lt;br /&gt;
&lt;br /&gt;
The center of any chemical process is the reactor, where chemical reactions are carried out to transform feeds into products.  Reactor design is a vital step in the overall design of a process.  It is important to ensure that the equipment specified will be capable of achieving the desired yields and selectivity. &lt;br /&gt;
&lt;br /&gt;
==Ideal Reactors==&lt;br /&gt;
&lt;br /&gt;
===Batch Reactors===&lt;br /&gt;
&lt;br /&gt;
In a batch reactor, the reagents are added together and allowed to react for a given amount of time.  The compositions change with time, but there is no flow through the process.  Additional reagents may be added as the reaction proceeds, and changes in temperature may also be made.  Products are removed from the reactor after the reaction has proceeded to completion.&lt;br /&gt;
&lt;br /&gt;
Batch processes are suitable for small-scale production and for processes where several different products or grades are to be produced in the same equipment.  When production volumes are relatively small and/or the chemistry is relatively complex, batch processing provides an important means of quality control.&lt;br /&gt;
&lt;br /&gt;
===Plug Flow Reactor (PFR)===&lt;br /&gt;
&lt;br /&gt;
A PFR with tubular geometry has perfect radial mixing but no axial mixing.  All materials hav the same residence time, τ, and experience the same temperature and concentration profiles along the reactor.  Equation for PFR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;dM = \Re dV&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where M = molar flow rate, dV is the incremental volume, and &amp;lt;math&amp;gt;\Re&amp;lt;/math&amp;gt; is the rate of reaction per unit volume.&lt;br /&gt;
&lt;br /&gt;
This equation can be integrated along the length of the reactor to yield relationships between reactor resident time and concentration or conversion.&lt;br /&gt;
&lt;br /&gt;
===Continuously Stirred Tank Reactor (CSTR)===&lt;br /&gt;
&lt;br /&gt;
The stirred tank reactor models a large scale conventional laboratory flask and can be considered to be the basic chemical reactor.  In a CSTR, shown in Figure 1, there is no spatial variation- the entire vessel contents are at the same temperature, pressure, and concentration.  Therefore the fluid leaving the reactor is at the same temperature and concentration as the fluid inside the reactor.&lt;br /&gt;
&lt;br /&gt;
The material balance across the CSTR is given by:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;M_\text{in}-M_\text{out}= \Re V&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Some of the material the enters the reactor can leave immediately, while some leaves much later, so there is a broad distribution in residence time as shown in Figure 1.&lt;br /&gt;
&lt;br /&gt;
[[File:CSTR.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 1.&#039;&#039; Continuously Stirred Tank Reactor [1]&lt;br /&gt;
&lt;br /&gt;
More information on stirred tanks can be found in the [[#Mixing in Industrial Reactors|Mixing]] section.&lt;br /&gt;
&lt;br /&gt;
=General Reactor Design=&lt;br /&gt;
&lt;br /&gt;
The design of the reactor should not be carried out separately from the overall process design due to the significant impact on capital and operating costs on other parts of the process[1].  &lt;br /&gt;
&lt;br /&gt;
==Step 1: Collect Required Data==&lt;br /&gt;
&lt;br /&gt;
Out of all process equipment, reactor design requires the most process input data: reaction enthalpies, phase-equilibrium constants, heat and mass transfer coefficients, as well as reaction rate constants.  All of the aforementioned parameters can be estimated using simulation models or literature correlations except for reaction rate constant constants, which need to be determined experimentally [1].&lt;br /&gt;
&lt;br /&gt;
===Enthalpy of Reaction===&lt;br /&gt;
&lt;br /&gt;
: The heat given out in a chemical reaction is based on the enthalpies of the component chemical reactions, which are given for standard temperature and pressure (1 atm, 25 C).  Values for standard heats of reaction can be found tabulated in literature, or can be calculated from heats of formation or combustion.  Care must be taken to quote the basis for the heat of reaction and the states of reactants and products.&lt;br /&gt;
&lt;br /&gt;
: The following equation is used to convert enthalpies from standard conditions to the process conditions:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,P,T} = \Delta H_\text{r}^{\circ} + &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: If the effect from pressure is not significant and only Temperature needs to be accounted for, the following equation should be used:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta H_\text{r,T} = \Delta H_\text{r}^{\circ} + \Delta H_\text{prod.} + \Delta H_\text{react.}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Equilibrium Constant and Gibbs Free Energy===&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;\Delta G = -\mathbf{R} T \ln K &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: Where &amp;lt;math&amp;gt;\Delta G&amp;lt;/math&amp;gt; is the change in Gibbs free energy from the reaction at temperature &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;\mathbf{R}&amp;lt;/math&amp;gt; is the ideal gas constant, and &amp;lt;math&amp;gt;K&amp;lt;/math&amp;gt; is the reaction equilibrium constant, given by:&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt;K = \prod_{i=1}^n {a_i}^{\alpha_i} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
: where &amp;lt;math&amp;gt;a_i&amp;lt;/math&amp;gt; is the activity of component i, &amp;lt;math&amp;gt;\alpha_i&amp;lt;/math&amp;gt; is the stoichiometric coefficient of component &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt;, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the total number of components.&lt;br /&gt;
&lt;br /&gt;
: Equilibrium constants can be found in the literature and are useful for evaluating the rates of forward and reverse reactions.  Care must be taken to the experimental design used for the literature equilibrium constants to make sure they are consistent with the conditions of the actual process reactor.  For more complicated reactions consisting of several sequential or simultaneous reactions, the equilibrium is found by minimizing the Gibbs free energy [1].  Commercial process simulation programs use the Gibbs reactor model in this way.  &lt;br /&gt;
&lt;br /&gt;
===Reaction Mechanisms, Rate Equations, and Rate Constants===&lt;br /&gt;
&lt;br /&gt;
: In most cases the main process reaction rate equations and rate constants cannot be predicted from first principles and must be approximated [1].  This is due to the following:&lt;br /&gt;
&lt;br /&gt;
* Use of heterogeneous catalysis or enzymes which lead to Langmuir-Hinshelwood-Hougen-Watson or Michaelis-Menten kinetics&lt;br /&gt;
* Mass transfer between vapor and liquid or two liquid phases&lt;br /&gt;
* Multistep mechanisms whose rate expressions do not follow overall reaction stoichiometry&lt;br /&gt;
* Competing side reactions&lt;br /&gt;
&lt;br /&gt;
: As a result the main process reaction is usually approximated as first- or second-order over a narrow range of process conditions (temperature, pressure, species concentrations) to estimate the residence time required for a target conversion.  Rate equations are always a fit for experimental data and should thus be used for interpolation within the data.  It is important to collect more data when extrapolating, especially for exothermic reactions which have the potential for runaway [1].&lt;br /&gt;
&lt;br /&gt;
===Heat and Mass Transfer Properties===&lt;br /&gt;
&lt;br /&gt;
====Heat Transfer====&lt;br /&gt;
:: The design of internal heating or cooling devices can be found in [https://processdesign.mccormick.northwestern.edu/index.php/Heat_Transfer_Equipment Heat Transfer Equipment].  Correlations for tube-side heat-transfer coefficients for catalyst-packed tubes of a heat exchanger are given below:&lt;br /&gt;
&lt;br /&gt;
:: For heating: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = .813 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.9} e^{-6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for cooling: &amp;lt;math&amp;gt; {{h_i d_t} \over \lambda_f} = 3.50 {\left ( \frac{\rho_f u d_p}{\mu} \right )}^{.7} e^{-4.6 d_p / d_t} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt; is the tube-side heat transfer coefficient for a packed tube, &amp;lt;math&amp;gt;d_t&amp;lt;/math&amp;gt; is the tube diameter, &amp;lt;math&amp;gt;\lambda_f&amp;lt;/math&amp;gt; is the fluid thermal conductivity, &amp;lt;math&amp;gt;\rho_f&amp;lt;/math&amp;gt; is the fluid density, &amp;lt;math&amp;gt;u&amp;lt;/math&amp;gt; is the superficial velocity, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the effective particle diameter, and &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the fluid viscosity.&lt;br /&gt;
&lt;br /&gt;
====Diffusion Coefficients====&lt;br /&gt;
&lt;br /&gt;
:: Diffusion coefficients are necessary when mass transfer can limit the rate of reaction, such as in catalytic reactions or reactions involving mass transfer processes such as gas absorption, distillation, and liquid-liquid extraction.  &lt;br /&gt;
&lt;br /&gt;
:: The diffusivity for gases can be estimated by the following correlation (Fuller, Schettler, Giddings):&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_v = \frac{1.013 \times 10^{-7} T^{1.75} {\left ( \frac{1}{M_a} + \frac{1}{M_b} \right )}^{1/2} }{P {\left [ {\left ( \sum_{a} v_i  \right )}^{1/3}  + {\left ( \sum_{b} v_i  \right )}^{1/3}  \right ]}^2  } &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_v&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is temperature, &amp;lt;math&amp;gt;M_a , M_b&amp;lt;/math&amp;gt; are the molecular masses of components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;P&amp;lt;/math&amp;gt; is the total pressure, and &amp;lt;math&amp;gt;\sum_{a} v_i , \sum_{b} v_i&amp;lt;/math&amp;gt; are the summation of special diffusion volume coefficients for components &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;, given in the table below:&lt;br /&gt;
&lt;br /&gt;
:: (volume coefficient table from towler)&lt;br /&gt;
&lt;br /&gt;
:: Wilke and Chang developed a correlation for estimating the diffusivity of components in the liquid phase:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt; D_L =  \frac{1.173 \times 10^{-13} {(\phi M_w)}^{1/2} T}{\mu V_m^{.6}} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid diffusivity, &amp;lt;math&amp;gt;\phi&amp;lt;/math&amp;gt; is an association factor for the solvent, &amp;lt;math&amp;gt;M_w&amp;lt;/math&amp;gt; is the molecular mass of the solvent, &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt; is the solvent viscosity, &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is the temperature, and &amp;lt;math&amp;gt;V_m&amp;lt;/math&amp;gt; is the molar volume of the solute at its boiling point.  This correlation holds for organic compounds in water but not for water in organic solvents.&lt;br /&gt;
&lt;br /&gt;
====Mass Transfer====&lt;br /&gt;
&lt;br /&gt;
:: For multiphase reactors it is necessary to estimate the mass transfer coefficient.  &lt;br /&gt;
&lt;br /&gt;
:: The equation of Gupta and Thodos predicts the mass transfer coefficient for a packed bed of particles:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac{k d_p}{D} = 2.06 \frac{1}{\epsilon} {Re}^{.425} {Sc}^{.33} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;d_p&amp;lt;/math&amp;gt; is the particle diameter, &amp;lt;math&amp;gt;D&amp;lt;/math&amp;gt; is the diffusivity, &amp;lt;math&amp;gt;Re&amp;lt;/math&amp;gt; is the Reynolds number calculated using the superficial velocity through the bed, &amp;lt;math&amp;gt;Sc&amp;lt;/math&amp;gt; is the Schmidt number,  and &amp;lt;math&amp;gt;\epsilon&amp;lt;/math&amp;gt; is the bed void fraction.&lt;br /&gt;
&lt;br /&gt;
:: Mass transfer between vapor and liquid in an agitated vessel can be described by the Van&#039;t Riet equations:&lt;br /&gt;
&lt;br /&gt;
:: For air-water: &amp;lt;math&amp;gt; k_L a = 0.026 {\left ( \frac{P_a}{V_{liq}} \right )}^{.4} Q^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: and for air-water-electrolyte: &amp;lt;math&amp;gt; k_L a = 0.002 {\left ( \frac{P_a}{V_{liq}} \right )}^{.7} Q^{.2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;k_L&amp;lt;/math&amp;gt; is the mass transfer coefficient, &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; is the interfacial area per unit volume, &amp;lt;math&amp;gt;Q&amp;lt;/math&amp;gt; is the gas volumetric flow rate, &amp;lt;math&amp;gt;V_{liq}&amp;lt;/math&amp;gt; is the liquid volume, and &amp;lt;math&amp;gt;P_a&amp;lt;/math&amp;gt; is the agitator power input.&lt;br /&gt;
&lt;br /&gt;
:: Fair&#039;s method for calculating the mass transfer coefficient for low viscosity systems is given by:&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;math&amp;gt;\frac {{(k_L a)}_{system}}{{(k_L a)}_{air-water}} = {\left ( \frac{D_{L,system}}{D_{L, air-water}} \right )}^{1/2} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
:: where &amp;lt;math&amp;gt;D_L&amp;lt;/math&amp;gt; is the liquid phase diffusivity.  &lt;br /&gt;
&lt;br /&gt;
:: Mass transfer correlations for vapor-liquid systems should be used with caution when there are surfactants [1].&lt;br /&gt;
&lt;br /&gt;
==Step 2: Select Reaction Conditions==&lt;br /&gt;
&lt;br /&gt;
===Chemical or Biochemical Reaction===&lt;br /&gt;
&lt;br /&gt;
===Catalyst===&lt;br /&gt;
&lt;br /&gt;
===Temperature===&lt;br /&gt;
&lt;br /&gt;
===Pressure===&lt;br /&gt;
&lt;br /&gt;
===Reaction Phase===&lt;br /&gt;
&lt;br /&gt;
===Solvent===&lt;br /&gt;
&lt;br /&gt;
===Concentrations===&lt;br /&gt;
&lt;br /&gt;
==Step 3: Determine Materials of Construction==&lt;br /&gt;
&lt;br /&gt;
A preliminary analysis of the materials of construction for the reactor can be conducted after the reaction conditions have been specified.  Particularly important in this analysis are the temperatures and pressures the process will run at.  At extreme conditions, costly alloys may need to be used.  In addition, the designer must ensure that process streams will not react with materials used in process equipment.&lt;br /&gt;
&lt;br /&gt;
==Step 4: Determine Rate-Limiting Step and Critical Sizing Parameters==&lt;br /&gt;
&lt;br /&gt;
The key parameters that determine the extent of reaction must be identified by carrying out an experiment plan with a broad range of conditions.  In general, the rate of reaction is usually limited by the following fundamental processes.  The first three have been discussed in previous sections.  Mixing will be developed in more detail in its own section. &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Intrinsic kinetics:&#039;&#039;&#039; There will usually be one slowest step that governs the overall rate.&lt;br /&gt;
* &#039;&#039;&#039;Mass-transfer rate:&#039;&#039;&#039; In multiphase reactions and processes that use porous heterogeneous catalysis, mass transfer can be particularly important.  Often, careful experimentation will be needed to separate the effects of mass transfer and the rate of reaction to determine which is the rate-limiting step. &lt;br /&gt;
* &#039;&#039;&#039;Heat-transfer rate:&#039;&#039;&#039; The rate of heat addition can become the governing parameter for endothermic reactions.  Heat-transfer devices such as heat exchangers or fired heaters may need to be used.&lt;br /&gt;
* &#039;&#039;&#039;Mixing:&#039;&#039;&#039; The time taken to mix the reagents can be the limiting step for very fast reactions.&lt;br /&gt;
&lt;br /&gt;
Once rate data have been collected, the designer can fit a suitable model of reaction kinetics.  Next, a critical sizing parameter can be specified for the reactor.  This will usually be one of the parameters given in Figure 1.  &lt;br /&gt;
&lt;br /&gt;
:: [[File:Sizing_Parameters.PNG]]&lt;br /&gt;
&lt;br /&gt;
:: &amp;lt;i&amp;gt;Figure 1&amp;lt;/i&amp;gt;. Reactor Sizing Parameters [1]&lt;br /&gt;
&lt;br /&gt;
==Step 5: Preliminary Sizing, Layout, and Costing of Reactor==&lt;br /&gt;
&lt;br /&gt;
The designer can estimate the reactor and catalyst volume from the sizing parameter.  This calculation will yield a value for the active reacting volume necessary.  Clearly, the actual reactor will need additional space.  The geometry of the reactor will depend on the desired flow pattern and mixing requirements [1].  The cost of most reactors can be estimated by determining the cost of a pressure vessel with the same dimensions and adding in the cost of the internals [1].&lt;br /&gt;
&lt;br /&gt;
==Step 6: Estimate Reactor Performance==&lt;br /&gt;
&lt;br /&gt;
At this point in the design process, it is important to verify that the proposed reactor will achieve the target conversions and selectivities.  A combination of experimental methods, such as pilot plants, and computer simulations can be used to predict the full-scale reactor performance.&lt;br /&gt;
&lt;br /&gt;
==Step 7: Optimize the Design==&lt;br /&gt;
&lt;br /&gt;
The reactor is typically a relatively small fraction of the total capital cost [1], so minimal time should be devoted to optimization to reduce the reactor cost.  However, if the target conversion, yields, and selectivities are not met, the process economics could be significantly impacted.  Therefore, steps 2 to 6 should be repeated at least until the minimum specifications are met [1].&lt;br /&gt;
&lt;br /&gt;
=Mixing in Industrial Reactors=&lt;br /&gt;
&lt;br /&gt;
Mixing plays an important role in many processing stages, including reactor performance.  It is critical to select the appropriate method of mixing in order to ensure the process produces the desired process yields, product purity, and cost effectiveness.  &lt;br /&gt;
&lt;br /&gt;
Correlations such as the Reynolds number can be used to determine the extent of mixing and correlate power consumption and heat transfer to the reactor shell [2].  In some cases, simple correlations may not be adequate:&lt;br /&gt;
* If dead zones cannot be tolerated for reasons of product purity, safety, 	etc.&lt;br /&gt;
* If reactor internals are complex&lt;br /&gt;
* If reaction selectivity is very sensitive to mixing&lt;br /&gt;
In these cases, it is usually necessary to carry out a more sophisticated analysis of mixing:&lt;br /&gt;
* Use computational fluid dynamics to model the reactor &lt;br /&gt;
* Use physical modeling (“cold flow”) experiments&lt;br /&gt;
* Use tomography methods to look at performance of real reactor&lt;br /&gt;
&lt;br /&gt;
==Gas Mixing==&lt;br /&gt;
Gases mix easily because of their low viscosities.  The mixing given by turbulent flow in a length of pipe is usually sufficient for most purposes [1].  Orifices, vanes, and baffles can be used to increase turbulence.  &lt;br /&gt;
&lt;br /&gt;
==Liquid Mixing==&lt;br /&gt;
*&#039;&#039;&#039;Inline Mixing&#039;&#039;&#039; Inline mixers can be used for the continuous mixing of low-viscosity fluids.  One inexpensive method involves the use of static devices that promote turbulent mixing in pipelines.  Some typical designs are shown in Figures 2(a), (b), and (c).&lt;br /&gt;
&lt;br /&gt;
::[[File:Static_Mixers.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 2.&#039;&#039; Inline mixers: (a) tee; (b) injection; (c) annular [1]&lt;br /&gt;
&lt;br /&gt;
:: When mixing low viscosity fluids (&amp;lt;50 mNs/m&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) with similar densities and flow rates, a simple mixing tee, Figure 2(a), followed by a length of pipe equal to 10 to 20 pipe diameters, is suitable [1].&lt;br /&gt;
:: When one flow is much lower than the other, an injection mixer, Figure 2(b&amp;amp;c), should be used.  A satisfactory blend will be achieved in about 80 pipe diameters [1].  Baffles or other flow restrictions can be used to reduce the mixing length required.  These mixers work by introducing one fluid into the flowing stream of the other through a concentric pipe or an annular array of jets [1].&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;Stirred Tanks&#039;&#039;&#039;  Stirred tanks were discussed in the [[#Ideal Reactors|Ideal Reactors]] section.  Mixing is conducted by an impeller mounted on a shaft driven by a motor.  The reactor usually contains baffles or other internals to induce turbulence and prevent the contents from swirling and creating a vortex.  Typically, baffles are 1/10 of diameter and located 1/20 of diameter from wall [2].  A typical arrangement of agitator and baffles in a stirred tank, and the flow pattern generated, is shown in Figure 3.  Mixing occurs through the bulk flow of the liquid and by the motion of the turbulent eddies created by the agitator.  Bulk flow is the predominant mixing mechanism required for the blending of miscible liquids and for solids suspension. Turbulent mixing is important in operations involving mass and heat transfer, which can be considered as shear-controlled processes [1].  &lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Arrangements.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 3.&#039;&#039; Agitator arrangements and flow patterns [1]&lt;br /&gt;
&lt;br /&gt;
:At high Reynolds numbers (low viscosity), one of the three basic types of impeller shown in Figure 4 should be used.  For processes controlled by turbulent mixing, the flat-bladed (Rushton) turbines are appropriate.  For bulk mixing, the propeller and pitched-bladed turbines are appropriate [1]. &lt;br /&gt;
&lt;br /&gt;
::[[File:Impeller_Types.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 4.&#039;&#039; Basic impeller types [1]&lt;br /&gt;
&lt;br /&gt;
:For more viscous fluids, paddle, anchor, and helical ribbon agitators (Figures 5(a), (b), and (c)), are used [1].  The selection chart given in Figure 6 can be used to make a preliminary selection of the agitator type, based on the liquid viscosity and tank volume [1].&lt;br /&gt;
&lt;br /&gt;
::[[File:Low_Speed_Agitators.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 5.&#039;&#039; Low-speed agitators [1]&lt;br /&gt;
&lt;br /&gt;
::[[File:Agitator_Selection_Guide.PNG]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 6.&#039;&#039; Agitator selection guide [1]&lt;br /&gt;
&lt;br /&gt;
==Gas-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Gases can be mixed into liquids using the inline mixing or stirred tank methods discussed previously.  A special type of gas injector, called a sparger (shown in Figure 7) can also be used.  This is a long injection tube with multiple holes drilled in it.  &lt;br /&gt;
&lt;br /&gt;
[[File:Gas_Sparger.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 7.&#039;&#039; Gas sparger [1]&lt;br /&gt;
&lt;br /&gt;
A small flow of liquid can be dispersed into a gas stream using a spray nozzle (Figure 8).&lt;br /&gt;
&lt;br /&gt;
[[File:Liquid_Injection.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 8.&#039;&#039; Liquid injection into gas [1]&lt;br /&gt;
&lt;br /&gt;
==Solid-Liquid Mixing==&lt;br /&gt;
&lt;br /&gt;
Solids are usually added to a liquid in a stirred tank at atmospheric pressure.  In order to allow more accurate control of dissolved solid concentration, mixing of solids and liquids is often carried out as a batch operation [1].&lt;br /&gt;
&lt;br /&gt;
=Types of Reactors=&lt;br /&gt;
&lt;br /&gt;
Most reactors used in industry approximate the ideal batch reactor, PFR, or CSTR.  In fact, real reactors can be modeled as networks or combinations of multiple plug-flow and stirred-tank reactors [1]. Examples of real reactors that approximate the flow pattern of ideal reactors are shown in Figure 10.  These reactors will be discussed in more detail in the following sections.&lt;br /&gt;
&lt;br /&gt;
[[File:Types_of_Reactors.PNG]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 10.&#039;&#039; Ideal reactors and some real reactors that approximate the same flow pattern [1]&lt;br /&gt;
&lt;br /&gt;
==Vapor-Liquid Reactors==&lt;br /&gt;
&lt;br /&gt;
Vapor-liquid reactions are important in many chemical processes.  For example, oxygenation and hydrogenation reactions are usually carried out with the organic component in the liquid phase [1].  A summary of common goals for vapor-liquid reactors and the reactors used to achieve those goals is shown in Table 1.&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Goal !! Types of Vapor-Liquid Reactors !! Examples&lt;br /&gt;
|-&lt;br /&gt;
| Maintain low concentration of gas component in liquid || &lt;br /&gt;
* Sparged stirred tank reactor&lt;br /&gt;
* Sparged tubular reactor&lt;br /&gt;
 || &lt;br /&gt;
* Liquid phase oxidations using air&lt;br /&gt;
* Fermenters&lt;br /&gt;
|-&lt;br /&gt;
| Contact gas and liquid over catalyst || &lt;br /&gt;
* Trickle bed reactor &lt;br /&gt;
*Slurry phase reactor &lt;br /&gt;
|| &lt;br /&gt;
* Catalytic hydrogenation&lt;br /&gt;
|-&lt;br /&gt;
| React a component out of the gas phase to high conversion || &lt;br /&gt;
* Multi-stage V/L contactor (reactive absorption column) &lt;br /&gt;
* Venturi scrubber &lt;br /&gt;
|| &lt;br /&gt;
*Chemisorption &lt;br /&gt;
*Acid gas scrubbing&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 1.&#039;&#039; Summary of Vapor-Liquid Reactors [2]&lt;br /&gt;
&lt;br /&gt;
If the residence time requirements are short enough, vapor-liquid contacting columns are preferred because of the high area for mass transfer.  Trayed or packed columns can be used to contact vapor and liquid for reaction.  The column packing may be catalytically active or could be inert packing [2].  Please see the [[separation processes]] section of this website for more information on the types of processes used for the third goal listed.  &lt;br /&gt;
&lt;br /&gt;
Stirred tanks or tubular reactors are used when long residence time is needed for the liquid phase [1].  These types of reactors and more will be discussed in the [[#Catalytic Processes|catalytic processes]] section of this page.&lt;br /&gt;
&lt;br /&gt;
The reactors listed under the first goal in the table are unique to vapor-liquid processes.  The basic concept of a sparger was discussed in the [[#Mixing in Industrial Reactors|mixing]] section.  Sparged reactors are shown in Figure 11. &lt;br /&gt;
&lt;br /&gt;
[[File:Sparged_Reactors.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 11.&#039;&#039; Sparged stirred tank and tubular reactors [2]&lt;br /&gt;
&lt;br /&gt;
The gas is bubbled up through the liquid in a sparged reactor.  For smaller bubbles, a porous pipe diffuser can be used instead [2].  The designer must allow some disengaging space at the top of the reactor, or entrainment will be excessive.  If the gas flow rate is large then the gas flow can be used as the primary means of agitation.  Perry&#039;s Handbook suggests the following air rates (ft&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;/ft&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;min) for agitating an open tank full of water at 1 atm:&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Degree of agitation !! Liquid depth 9 ft !! Liquid depth 3 ft&lt;br /&gt;
|-&lt;br /&gt;
| Moderate || 0.65 || 1.3&lt;br /&gt;
|-&lt;br /&gt;
| Complete || 1.3 || 2.6&lt;br /&gt;
|-&lt;br /&gt;
| Violent || 3.1 || 6.2&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Table 2.&#039;&#039; Summary of suggested flow rates for gas flow as agitation [2]&lt;br /&gt;
&lt;br /&gt;
==Catalytic Processes==&lt;br /&gt;
A catalyst increases the rate of a chemical reaction without itself becoming permanently changed by the reaction.  Catalysts allow reactions to be run in smaller reactors and operated at lower temperatures and improve selectivity.  Therefore, catalysts will almost always lead to a more economically attractive process than a noncatalytic route.  [1]  Catalysts are normally selected based on performance rather than price since increases catalysts selectivity will almost always quickly pay back any price premium expected by the manufacturer.  It is important to test the catalysts under conditions that are representative of process conditions [1].  &lt;br /&gt;
&lt;br /&gt;
Catalyst activity often deteriorates over time [2].  Common causes of deactivation include:&lt;br /&gt;
* Poisoning by components in feed (e.g. base destroys acid catalyst)&lt;br /&gt;
* Blockage of pores or active sites by byproducts such as coke&lt;br /&gt;
* Thermal or hydrothermal modification of catalyst structure&lt;br /&gt;
Slow activity loss can be compensated by:&lt;br /&gt;
* Putting in more catalyst (lower space velocity)&lt;br /&gt;
* Slowly raising reactor temperature&lt;br /&gt;
Rapid activity loss may require moving the catalyst to a continuous regeneration zone [2].&lt;br /&gt;
&lt;br /&gt;
Catalytic reactions can be either homogenous (catalyst is in the same phase as the reagents) or heterogeneous (catalyst is not in the same phase as the reagents).&lt;br /&gt;
&lt;br /&gt;
===Homogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
:Homogeneous catalysis can be conducted in the basic batch reactors, PFRs, or CSTRs that have already been discussed.  However, when the catalyst is in the same phase as the reagent, recovering this catalyst after the reaction can be difficult and expensive, particularly if the catalyst is sensitive to high temperatures [2].  Providing adequate interfacial area is also a challenge of homogeneous catalysis.  A reaction often only occurs at the interface or in the boundary layer between the catalyst and the reagents.  Increased mixing can increase the rate and selectivity of the reaction, but this can require detailed and expensive mixing equipment [2].  For these reasons, reactions requiring homogenous catalysts are not usually used unless an easy separation can be found to recover the catalyst.&lt;br /&gt;
&lt;br /&gt;
===Heterogeneous Catalysis===&lt;br /&gt;
&lt;br /&gt;
: Catalyst recovery in processes involving heterogeneous catalysis is much easier.  However, the rate of reaction is limited by the available inter-phase surface area and the mass transfer of reagents and products to and from the interface [2].  Therefore, reactors for these processes are design to reduce these limitations.&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Fixed Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: In a fixed-bed reactor, the reagent flows over a stationary bed of packed catalyst [1].  This is the most common type of reactor used for heterogeneous catalysis as long as the catalyst does not require continuous regeneration and the reaction mixture does not require high agitation [2].  The amount of catalyst necessary can be found using the following equations:&lt;br /&gt;
&lt;br /&gt;
::[[File:Catalyst_Calcs.png]]&lt;br /&gt;
&lt;br /&gt;
:: The ratio of the bed height (L) to the diameter (D) determines the distribution of reagents and the pressure drop across the bed.  An increased L/D ratio creates a more even distribution and less change of localized deactivation or &amp;quot;hot spots.&amp;quot;  However, increasing the L/D ratio increases the pressure drop, requiring higher compression and pumping costs [2].  The Ergun equation can be used to calculate the pressure drop in packed beds. &lt;br /&gt;
&lt;br /&gt;
:: [[File:Ergun.png]]&lt;br /&gt;
&lt;br /&gt;
::Where V is the superficial velocity (volume flowrate divided by cross-sectional area), μ is the viscosity, D&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; is the particle diameter and ε is the porosity of the packed bed [2]. Given these trade-offs, it may make sense to split the catalyst over several beds [2].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Radial Flow Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: When there is very little pressure drop available, the L/D ratio must be much less that one [2].  A common solution to this is to use a radial flow reactor with the catalyst contained in an annulus between vertical perforated or slotted screens.  The fluid flows radially through the bed and the direction of flow can be either inwards or outwards [1].  An example of a radial flow reactor is shown in Figure 12.&lt;br /&gt;
&lt;br /&gt;
:: [[File:Radial_flow.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 12.&#039;&#039; Radial flow reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Moving Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: A moving bed reactor is similar to a radial flow reactor, but the catalyst is moved through the annular space [2].&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Fluidized Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: If the fluid flow is up through the catalyst bed then the bed can become fluidized if the pressure drop is high enough to support the weight of the catalyst.  Fluidized beds usually have a lower pressure drop than down flow at high flow rates [2].  In addition, fluidizing the catalyst eases the transition from one reaction zone to another.&lt;br /&gt;
&lt;br /&gt;
:: The catalyst bed is fluidized using a distributor to inject fluidization fluid, which is not necessarily the feed.  Fluidization occurs when the bed pressure drop balances the weight of the particles, or &lt;br /&gt;
&lt;br /&gt;
::[[File:Fluid_Eqn.png]]&lt;br /&gt;
&lt;br /&gt;
::Where ∆P is the pressure drop, ρ&amp;lt;sub&amp;gt;p&amp;lt;/sub&amp;gt; and ρ&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; are the densities of the particle and gas respectively, ε&amp;lt;sub&amp;gt;m&amp;lt;/sub&amp;gt; is the porosity at minimum fluidization, and L is the height of the bed [2].  Fluidization can only be used with relatively small sized particles (&amp;lt;300 micrometers with gases).  The solid material must be strong enough to withstand attrition in the fluidized bed and cheap enough to allow for make-up to replace attrition losses [1].  A fluidized-bed reactors must also make allowance for separating the fluid-phase product from entrained solids so that solids are not carried out of the reactor [1].  &lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Trickle Bed Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Trickle bed reactors are used when all three phases are involved in the reaction.  They must ensure good distribution of both the vapor and the liquid, without channeling of either phase [2].  In a trickle bed reactor, the liquid flows down over the surface of a stationary bed of solids.  The gas phase usually also flows downwards with the liquid, but countercurrent flow is feasible as long as flooding conditions are avoided [1].  This requires a more sophisticated distributor like those used for packed distillation columns [2].  An example of a trickle bed reactor is shown in Figure 13.&lt;br /&gt;
&lt;br /&gt;
::[[File:trickle_bed.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 13.&#039;&#039; Example of trickle bed reactor [2]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039; Slurry Reactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
::Liquid is mixed up in the liquid in slurry phase reactions.  Slurry reactors are prone to attrition of the solids, caused by pumping or agitation of the liquid [1].  Slurry-phase operation is usually not preferred for processes that use heterogeneous catalysts because the catalyst tends to become eroded and can be difficult to recover from the liquid [1].&lt;br /&gt;
&lt;br /&gt;
==Bioreactors==&lt;br /&gt;
&lt;br /&gt;
Bioreactors have requirements that add complexity compared to simpler chemical reactors.  These reactions often are three-phase (cells, water, and air), need sterile operation, and require heat removal [2].  However, biological systems have the following advantages:&lt;br /&gt;
* Some products can only be made by biological routes&lt;br /&gt;
* Large molecules such as proteins can be made&lt;br /&gt;
* Selectivity for desired product can be very high&lt;br /&gt;
* Products are often very valuable &lt;br /&gt;
&lt;br /&gt;
===Enzyme Catalysis===&lt;br /&gt;
&lt;br /&gt;
Enzymes are the biological equivalent of catalysts.  They can sometimes be isolated from host cells. They are usually proteins and, therefore, most are thermally unstable above ~60 degrees Celsius and active only in water at a restricted pH [2].  Enzymes can sometimes be absorbed onto a solid or encapsulated in a gel without losing their structure.  In this case, they can be used in a conventional fixed bed reactor.  Typically, homogenous reactions are carried out in batch reactors.&lt;br /&gt;
&lt;br /&gt;
===Cell Growth===&lt;br /&gt;
&lt;br /&gt;
Cell growth goes through several phases during a batch, shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
[[File:Cell_Growth_Rate.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Figure 15.&#039;&#039; Cell growth and product formation in batch fermentation [1]&lt;br /&gt;
&lt;br /&gt;
* I: Innoculation: slow growth while cells adapt to new environment&lt;br /&gt;
* II: Exponential growth: growth rate proportional to cell mass&lt;br /&gt;
* III: Slow growth as substrate or other factors begin to limit rate&lt;br /&gt;
* IV: Stationary phase: cell growth rate and death rate are equal&lt;br /&gt;
* V: Decline phase: cells die or sporulate, often caused by product build-up&lt;br /&gt;
&lt;br /&gt;
Intracellular product accumulation is slow at first because there are a limited number of cells [2].  However, it is important to note that product accumulation continue even after the live cell count falls, since dead cells still contain product.&lt;br /&gt;
&lt;br /&gt;
The growth rate of cells can be limited by factors such as:&lt;br /&gt;
* The availability of the primary subtrate&lt;br /&gt;
** Typically glucose, fructose, sucrose, or other carbohydrate&lt;br /&gt;
* The availability of other metabolites&lt;br /&gt;
** Vitamins, minerals, hormones, or enzyme cofactors&lt;br /&gt;
* The availability of oxygen&lt;br /&gt;
* Mass transfer properties of the reaction system&lt;br /&gt;
* Inhibition or poisoning by products or byproducts&lt;br /&gt;
* High temperature caused by inadequate heat removal&lt;br /&gt;
&lt;br /&gt;
All of these factors are exacerbated at higher cell concentrations [2].  Clearly, biological reactions must be carefully controlled.  An addition complication in dealing with biological reactions is that the product formation is often not closedly tied to the rate of consumption of the substrate [2].  This is because of the fact that the product may be made by the cells at a relatively low concentration and the fact that some cell metabolic processes may not be involved in formation of the desired product [2].&lt;br /&gt;
&lt;br /&gt;
===Types of Bioreactors===&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Stirred Tank Fermenter&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: The stirred tank fermenter is the most common reactor used for biological reactions [2] and is similar to the stirred tanks discussed previously.  It can be used in both batch and continuous mode.  Figure 14 shows a stirred tank fermenter.&lt;br /&gt;
&lt;br /&gt;
::[[File:Fermentation.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 14.&#039;&#039; Fermentation reactor [1]&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Shaftless Bioreactors&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
:: Shaftless bioreactors are used when the pump shaft seal is considered a non-permissible source of contamination.  These reactors use gas flow to provide agitation of the liquid.  The design requires careful attention to hydraulics [2].  Examples of shaftless bioreactors are shown in Figure 15.&lt;br /&gt;
&lt;br /&gt;
::[[File:Shaftless.png]]&lt;br /&gt;
&lt;br /&gt;
::&#039;&#039;Figure 15.&#039;&#039; Examples of shaftless bioreactors [2]&lt;br /&gt;
&lt;br /&gt;
=Heating and Cooling of Reacting Systems=&lt;br /&gt;
&lt;br /&gt;
Exothermic and endothermic reactions will require reactors with heat control systems to prevent operating conditions from falling out of the desired range. Before considering the design of a heating or cooling system to couple with a reactor, a few important questions should be asked[1].&lt;br /&gt;
&lt;br /&gt;
1. Can the reaction be carried out adiabatically?&lt;br /&gt;
&lt;br /&gt;
2. Can the feeds provide the required heating or cooling? Staged addition of feed can help alleviate the cost of adding a heat exchange network or heat transfer jacket.&lt;br /&gt;
&lt;br /&gt;
3. Would it be more cost effective to carry out the heat exchange outside of the reactor?&lt;br /&gt;
&lt;br /&gt;
4. Would it be more effective to carry out the reaction inside of a heat transfer device? If a reaction requires only a small volume or small quantities of catalyst, it may be possible to utilize a heat exchanger as a temperature controller and as a reaction location.&lt;br /&gt;
&lt;br /&gt;
5. Does the proposed design allow the process to be started up and shut down smoothly?&lt;br /&gt;
&lt;br /&gt;
6. Are there safety concerns with heating or cooling the reactor?&lt;br /&gt;
&lt;br /&gt;
After considering these aspects of the design, commercial design software such as HYSYS or UniSim can be utilized to estimate heating/cooling requirements. Once this is done, design of the heat exchange system can begin, with different reactor types and reactions requiring different design approaches[1].&lt;br /&gt;
&lt;br /&gt;
==Stirred Tank Reactors==&lt;br /&gt;
&lt;br /&gt;
Heating and cooling of a stirred tank reactor is done to ensure a uniform reaction temperature, so that there do not exist hot or cold spots within the reactor that can negatively affect selectivity[1]. &lt;br /&gt;
&lt;br /&gt;
For indirect heat transfer, there are three main alternatives: a heat transfer jacket, an internal coil, and an external heat transfer circuit. A jacket is utilized as long as there is sufficient heat transfer area for the heat exchange to take place. If this is not the case, coils are used, although the inclusion of a heating coil will significantly increase reactor volume and utility requirements, leading to a large increase in price for the reactor. External circuits contain a heat exchanger that will heat or cool the product stream as required and recycle this material to the reactor to control temperature. External circuits are useful because they can be designed independently of the reactor; sizing the required pumps and heat exchangers will not fundamentally change the activity of the reactor. For any of these choices, it should be ensure that no corrosion of the involved piping will occur, as utility streams bleeding into the reactor can have a very negative impact on the selectivity of the reaction and on the operation of the reactor on a whole[1].&lt;br /&gt;
&lt;br /&gt;
Some direct heat transfer alternatives also exist, as long the reaction in question is compatible with the addition of extra water. Steam can be pumped into the reactor to maintain temperature, which will eliminate the need to design heat transfer surfaces. However, steam injected into the system cannot be recovered, so this will lead to an increase in annual utility costs. Additionally, vapor will be produced if it did not exist previously, so reactors will need to be redesigned to accommodate a vapor removal system[1]. &lt;br /&gt;
&lt;br /&gt;
==Catalytic Reactors==&lt;br /&gt;
&lt;br /&gt;
===Slurry Reactors===&lt;br /&gt;
&lt;br /&gt;
Since slurry reactors already use a mix of solid catalyst and liquid reactants, any of the methods described in the Stirred Tank Reactors section can be applied to slurry reactors. It is not recommended to use internal coils in such a design, as reactor slurry will often corrode heat exchange material very easily[1].&lt;br /&gt;
&lt;br /&gt;
===Fixed-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Indirect heat transfer is not often utilized to control the temperature in fixed-bed reactors, as it hard to maintain uniform temperature across the radial section of the catalyst bed. In cases where temperature control is required, the reactor will be split into smaller sections. After each bed, there will be an heat transfer stage, where the product stream is heated or cooled as necessary and returned to the next catalytic segment[1]. &lt;br /&gt;
&lt;br /&gt;
===Fluidized-bed Reactors===&lt;br /&gt;
&lt;br /&gt;
Fluidized bed reactors have high heat-transfer coefficients, so indirect heat transfer is highly effective. The heat capacity of the solid catalyst particles can be used as a heat transfer medium themselves; heated catalyst contains a reaction location and the necessary heat to maintain the required temperature. Deactivated catalyst is heated during reactivation and recycle[1].&lt;br /&gt;
&lt;br /&gt;
==Heat Exchangers as Reactors==&lt;br /&gt;
&lt;br /&gt;
It is sometimes necessary to design a reactor as a heat transfer device, like when it is necessary to operate a reactor isothermally and there is a large heat of reaction. Some common situations include high-temperature endothermic reactions that quickly quench without continuous heat input and low-temperature exothermic reactions that must be kept at constant temperature to maintain selectivity. The most common heat transfer equipment used for reactions are shell and tube heat exchangers and fired heaters[1].&lt;br /&gt;
&lt;br /&gt;
===Homogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
If the reaction does not required a catalyst, than the heat transfer design is the same as a conventional heat transfer device, with some important changes in the thermal design. The usual heat exchanger equations will not apply to the design of a heat exchanger reactor due to the nonlinear behavior of the reaction rate with regards to temperature. In these cases, the usual practice of conservative temperature estimations will not aid in heat transfer design, as greater detail will be required to ensure the proper operation of the reactor. Detailed kinetic models should be developed before designing the internals of the heat transfer device[1].&lt;br /&gt;
&lt;br /&gt;
===Heterogenous Reactions===&lt;br /&gt;
&lt;br /&gt;
The problems of designing for homogenous reactions still hold for heterogenous ones, with the added complication of solid catalyst beds. Catalyst can be loaded into the tubes of a shell and tube exchanger if the exchanger is mounted vertically and a suitable retaining screen is included at either end of the design. In this instance, hot catalyst can be reliably recycled and heat treated to reactivate the catalysts and reduce the presence of reactor hot spots. High-temperature endothermic reactions will be even more difficult to design for, as their heat requirements often exceed the amount provided by a heated catalyst. In these cases, a &amp;quot;tube in tube&amp;quot; design is utilized, where feed and catalyst are heated simultaneously by an external fired heater. This can be done as long as thermal expansion does not cause damage to the tubes, or else significant catalyst poisoning can occur. The same concerns as detailed in homogenous reactions will still apply for any design utilized for heterogenous ones, so it is again recommended to develop a detailed kinetic model before determining the amount of heat transfer required to maintain proper selectivity[1].&lt;br /&gt;
&lt;br /&gt;
=Safety Considerations in Reactor Design=&lt;br /&gt;
&lt;br /&gt;
Reactors require much attention to safety details in the design process due to the hazards they impose.  They are often the highest temperature point in the process, heat of reaction may be released, and residence times can be long leading to a large inventory of chemicals.  Guidelines exist for inherently safer design principles which seek to remove or reduce process hazards, limiting the impact of unforeseen events.  These design methods should be applied throughout the design process as part of good engineering practice; they cannot be retroactively added by a process safety specialist.  Some examples are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(table 15.16 in Towler)&lt;br /&gt;
&lt;br /&gt;
Exothermic reactions require special consideration due to their potential to runaway (temperature rises from heat of reaction being released, increasing reaction rate, releasing more heat, and so on).  The reactor must be designed such that temperature can be precisely controlled and the reaction shut down if temperature control is lost.  The use of solvents or inert species also allows for temperature control by adjusting heat capacity flow rate relative to rate of heat release from the reaction.  An additional safety feature would allow the reactor to be flooded with cold solvent or diluent.&lt;br /&gt;
&lt;br /&gt;
If there is a cooling system it should be designed to return the process to desired temperature if the maximum temperature is reached.  &lt;br /&gt;
&lt;br /&gt;
Venting and relief of reactors is complicated by the potential to keep reacting if containment is lost or material is discharged into the pressure relief system.  The relief system should be designed according to guidelines outlined in the Design Institute for Emergency Relief Systems (DIERS) methodology.  The reactor design team must understand the reaction mechanism and kinetics, including the role of any compounds which may accelerate the reaction.  Details may be found on the AIChE website, [http://www.aiche.org/diers here].&lt;br /&gt;
&lt;br /&gt;
=Capital Cost of Reactors=&lt;br /&gt;
&lt;br /&gt;
Reactors are classified as pressure vessels, and as such the pressure vessel design methods can be used to estimate wall thickness and thus determine capital cost.  Additional costs come from reactor internals or other equipment.  Jacketed stirred-tank reactors require more in depth analysis than that provided by pressure vessel design.  The wall of the reaction vessel may be in compression due to the jacket.  For preliminary cost estimating a correlation for jacketed stirred tank reactors operating at pressures below 20 bar can be used:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;C_e = a + b S^n&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;C_e&amp;lt;/math&amp;gt; is the purchased equipment cost on a U.S. Gulf Coast Basis, &amp;lt;math&amp;gt;a, b&amp;lt;/math&amp;gt; are cost constants, &amp;lt;math&amp;gt;S&amp;lt;/math&amp;gt; is the size parameter, and &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; is the exponent for that type of equipment.  Values for &amp;lt;math&amp;gt;a, b, S, n&amp;lt;/math&amp;gt; are given in the table below:&lt;br /&gt;
&lt;br /&gt;
(Table 7.2 Towler)&lt;br /&gt;
&lt;br /&gt;
=Conclusions=&lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
# Towler, G.P. and Sinnot, R. (2012). &#039;&#039;Chemical Engineering Design: Principles, Practice and Economics of Plant and Process Design.&#039;&#039; Elsevier.&lt;br /&gt;
#Towler, G.P. (2012). &#039;&#039;Chemical Engineering Design&#039;&#039;, PowerPoint presentation.&lt;/div&gt;</summary>
		<author><name>Julianne</name></author>
	</entry>
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