1 | #*--------------------------------------------------------------------- |
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2 | * EMSO Model Library (EML) Copyright (C) 2004 - 2007 ALSOC. |
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3 | * |
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4 | * This LIBRARY is free software; you can distribute it and/or modify |
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5 | * it under the therms of the ALSOC FREE LICENSE as available at |
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6 | * http://www.enq.ufrgs.br/alsoc. |
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7 | * |
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8 | * EMSO Copyright (C) 2004 - 2007 ALSOC, original code |
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9 | * from http://www.rps.eng.br Copyright (C) 2002-2004. |
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10 | * All rights reserved. |
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11 | * |
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12 | * EMSO is distributed under the therms of the ALSOC LICENSE as |
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13 | * available at http://www.enq.ufrgs.br/alsoc. |
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14 | * |
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15 | *---------------------------------------------------------------------- |
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16 | * 8. Binary batch distillation |
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17 | *---------------------------------------------------------------------- |
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18 | * |
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19 | * Description: |
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20 | * This problem is part of a collection of 10 representative |
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21 | * problems in Chemical Engineering for solution by numerical methods |
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22 | * developed for Cutlip (1998). |
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23 | * |
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24 | * Subject: |
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25 | * * Separation Processes |
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26 | * |
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27 | * Concepts utilized: |
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28 | * Batch distillation of an ideal binary mixture. |
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29 | * |
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30 | * Numerical method: |
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31 | * * System of ODEs and NLA equations |
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32 | * |
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33 | * Reference: |
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34 | * * CUTLIP et al. A collection of 10 numerical problems in |
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35 | * chemical engineering solved by various mathematical software |
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36 | * packages. Comp. Appl. in Eng. Education. v. 6, 169-180, 1998. |
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37 | * * More informations and a detailed description of all problems |
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38 | * is available online in http://www.polymath-software.com/ASEE |
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39 | * |
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40 | *---------------------------------------------------------------------- |
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41 | * Author: Rodolfo Rodrigues |
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42 | * GIMSCOP/UFRGS - Group of Integration, Modeling, Simulation, |
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43 | * Control, and Optimization of Processes |
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44 | * $Id$ |
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45 | *--------------------------------------------------------------------*# |
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46 | using "types"; |
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47 | |
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48 | |
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49 | |
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50 | FlowSheet batch_distillation |
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51 | PARAMETERS |
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52 | NComp as Integer (Brief="Number of chemical components", Upper=2); |
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53 | |
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54 | A(NComp) as Real (Brief="Antoin equation constant"); |
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55 | B(NComp) as Real (Brief="Antoin equation constant"); |
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56 | C(NComp) as Real (Brief="Antoin equation constant"); |
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57 | |
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58 | Pt as pressure (Brief="Total pressure"); |
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59 | |
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60 | |
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61 | VARIABLES |
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62 | L as mol (Brief="Mole of liquid remaining", DisplayUnit='mol'); |
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63 | x(NComp) as fraction (Brief="Mole fraction"); |
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64 | k(NComp) as Real (Brief="Vapor-liquid equilibrium ratio", Lower=0); |
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65 | P(NComp) as pressure (Brief="Vapor pressure"); |
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66 | T as temperature; |
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67 | |
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68 | |
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69 | EQUATIONS |
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70 | "Change time in x(2)" |
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71 | x(2) = time/'s'; |
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72 | |
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73 | "Mole of liquid remaining" |
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74 | diff(L) = L/(x(2)*(k(2) - 1))/'s'; |
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75 | |
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76 | "Vapor-liquid equilibrium ratio" |
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77 | k = P/Pt; |
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78 | |
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79 | "Vapor pressure" # Antoine equation |
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80 | log(P/'mmHg') = A - B/((T/'K'-273.15) + C); |
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81 | |
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82 | "Bubble point" |
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83 | sum(k*x) = 1; |
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84 | |
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85 | "Mole fraction normalisation" |
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86 | sum(x) = 1; |
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87 | |
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88 | |
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89 | SET |
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90 | NComp = 2; # benzene, toluene |
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91 | |
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92 | # Antoin equation constants |
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93 | A = [6.90565, 6.95464]; |
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94 | B = [1211.033, 1344.8]; |
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95 | C = [220.790, 219.482]; |
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96 | |
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97 | Pt = 1.2*'atm'; |
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98 | |
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99 | |
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100 | INITIAL |
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101 | L = 100*'mol'; |
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102 | |
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103 | |
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104 | OPTIONS |
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105 | TimeStart = 0.4; |
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106 | TimeStep = 1e-3; |
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107 | TimeEnd = 0.8; |
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108 | end |
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