| 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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