[698] | 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 | * Author: Paula B. Staudt |
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| 17 | * $Id: condenser.mso 555 2008-07-18 19:01:13Z rafael $ |
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| 18 | *--------------------------------------------------------------------*# |
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| 19 | |
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| 20 | using "streams"; |
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| 21 | |
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| 22 | Model condenser |
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| 23 | ATTRIBUTES |
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| 24 | Pallete = true; |
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| 25 | Icon = "icon/Condenser"; |
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| 26 | Brief = "Model of a dynamic condenser."; |
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| 27 | Info = |
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| 28 | "== Assumptions == |
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| 29 | * perfect mixing of both phases; |
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| 30 | * thermodynamics equilibrium. |
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| 31 | |
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| 32 | == Specify == |
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| 33 | * the inlet stream; |
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[735] | 34 | * the outlet flows: OutletVapour.F and OutletLiquid.F; |
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[698] | 35 | * the heat supply. |
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| 36 | |
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| 37 | == Initial Conditions == |
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[735] | 38 | * the condenser temperature (OutletLiquid.T); |
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[698] | 39 | * the condenser liquid level (Level); |
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[735] | 40 | * (NoComps - 1) OutletLiquid (OR OutletVapour) compositions. |
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[698] | 41 | "; |
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| 42 | |
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| 43 | PARAMETERS |
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| 44 | outer PP as Plugin (Brief = "External Physical Properties", Type="PP"); |
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| 45 | outer NComp as Integer; |
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| 46 | |
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| 47 | V as volume (Brief="Condenser total volume"); |
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| 48 | Across as area (Brief="Cross Section Area of reboiler"); |
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[719] | 49 | |
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| 50 | Initial_Level as length (Brief="Initial Level of liquid phase"); |
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| 51 | Initial_Temperature as temperature (Brief="Initial Temperature of Condenser"); |
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| 52 | Initial_Composition(NComp) as fraction (Brief="Initial Liquid Composition"); |
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| 53 | |
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[698] | 54 | VARIABLES |
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[735] | 55 | in InletVapour as stream (Brief="Vapour inlet stream", PosX=0.15, PosY=0, Symbol="_{inV}"); |
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| 56 | out OutletLiquid as liquid_stream (Brief="Liquid outlet stream", PosX=0.4513, PosY=1, Symbol="_{outL}"); |
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| 57 | out OutletVapour as vapour_stream (Brief="Vapour outlet stream", PosX=0.4723, PosY=0, Symbol="_{outV}"); |
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[719] | 58 | in InletQ as power (Brief="Cold supplied", PosX=1, PosY=0, Symbol="_{in}"); |
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[698] | 59 | |
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| 60 | M(NComp) as mol (Brief="Molar Holdup in the tray"); |
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| 61 | ML as mol (Brief="Molar liquid holdup"); |
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| 62 | MV as mol (Brief="Molar vapour holdup"); |
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| 63 | E as energy (Brief="Total Energy Holdup on tray"); |
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| 64 | vL as volume_mol (Brief="Liquid Molar Volume"); |
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| 65 | vV as volume_mol (Brief="Vapour Molar volume"); |
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| 66 | Level as length (Brief="Level of liquid phase"); |
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| 67 | |
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[719] | 68 | INITIAL |
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| 69 | |
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| 70 | Level = Initial_Level; |
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[735] | 71 | OutletLiquid.T = Initial_Temperature; |
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| 72 | OutletLiquid.z(1:NComp-1) = Initial_Composition(1:NComp-1)/sum(Initial_Composition); |
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[719] | 73 | |
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[698] | 74 | EQUATIONS |
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| 75 | "Component Molar Balance" |
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[735] | 76 | diff(M) = InletVapour.F*InletVapour.z - OutletLiquid.F*OutletLiquid.z- OutletVapour.F*OutletVapour.z; |
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[698] | 77 | |
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| 78 | "Energy Balance" |
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[735] | 79 | diff(E) = InletVapour.F*InletVapour.h - OutletLiquid.F*OutletLiquid.h- OutletVapour.F*OutletVapour.h + InletQ; |
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[698] | 80 | |
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| 81 | "Molar Holdup" |
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[735] | 82 | M = ML*OutletLiquid.z + MV*OutletVapour.z; |
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[698] | 83 | |
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| 84 | "Energy Holdup" |
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[735] | 85 | E = ML*OutletLiquid.h + MV*OutletVapour.h - OutletVapour.P*V; |
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[698] | 86 | |
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| 87 | "Mol fraction normalisation" |
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[735] | 88 | sum(OutletLiquid.z)=1.0; |
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| 89 | sum(OutletLiquid.z)=sum(OutletVapour.z); |
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[698] | 90 | |
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| 91 | "Liquid Volume" |
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[735] | 92 | vL = PP.LiquidVolume(OutletLiquid.T, OutletLiquid.P, OutletLiquid.z); |
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[698] | 93 | |
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| 94 | "Vapour Volume" |
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[735] | 95 | vV = PP.VapourVolume(OutletVapour.T, OutletVapour.P, OutletVapour.z); |
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[698] | 96 | |
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| 97 | "Chemical Equilibrium" |
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[735] | 98 | PP.LiquidFugacityCoefficient(OutletLiquid.T, OutletLiquid.P, OutletLiquid.z)*OutletLiquid.z = |
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| 99 | PP.VapourFugacityCoefficient(OutletVapour.T, OutletVapour.P, OutletVapour.z)*OutletVapour.z; |
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[698] | 100 | |
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| 101 | "Thermal Equilibrium" |
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[735] | 102 | OutletLiquid.T = OutletVapour.T; |
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[698] | 103 | |
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| 104 | "Mechanical Equilibrium" |
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[735] | 105 | OutletVapour.P = OutletLiquid.P; |
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[698] | 106 | |
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| 107 | "Geometry Constraint" |
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| 108 | V = ML*vL + MV*vV; |
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| 109 | |
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| 110 | "Level of liquid phase" |
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| 111 | Level = ML*vL/Across; |
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| 112 | |
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| 113 | end |
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| 114 | |
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| 115 | |
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| 116 | #*---------------------------------------------------------------------- |
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| 117 | * Model of a Steady State condenser with no thermodynamics equilibrium |
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| 118 | *---------------------------------------------------------------------*# |
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| 119 | Model condenserSteady |
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| 120 | ATTRIBUTES |
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| 121 | Pallete = true; |
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| 122 | Icon = "icon/CondenserSteady"; |
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| 123 | Brief = "Model of a Steady State condenser with no thermodynamics equilibrium."; |
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| 124 | Info = |
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| 125 | "== Assumptions == |
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| 126 | * perfect mixing of both phases; |
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| 127 | * no thermodynamics equilibrium. |
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| 128 | |
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| 129 | == Specify == |
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| 130 | * the inlet stream; |
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| 131 | * the pressure drop in the condenser; |
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| 132 | * the heat supply. |
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| 133 | "; |
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| 134 | |
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| 135 | PARAMETERS |
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| 136 | outer PP as Plugin (Brief = "External Physical Properties", Type="PP"); |
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| 137 | outer NComp as Integer; |
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| 138 | |
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| 139 | VARIABLES |
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[735] | 140 | in InletVapour as stream (Brief="Vapour inlet stream", PosX=0.3431, PosY=0, Symbol="_{inV}"); |
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| 141 | out OutletLiquid as liquid_stream (Brief="Liquid outlet stream", PosX=0.34375, PosY=1, Symbol="_{outL}"); |
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[698] | 142 | in InletQ as power (Brief="Cold supplied", PosX=1, PosY=0.5974, Symbol="_{in}"); |
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| 143 | DP as press_delta (Brief="Pressure Drop in the condenser",Default=0); |
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| 144 | |
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| 145 | EQUATIONS |
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| 146 | |
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| 147 | "Molar Balance" |
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[735] | 148 | InletVapour.F = OutletLiquid.F; |
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| 149 | InletVapour.z = OutletLiquid.z; |
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[698] | 150 | |
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| 151 | "Energy Balance" |
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[735] | 152 | InletVapour.F*InletVapour.h = OutletLiquid.F*OutletLiquid.h + InletQ; |
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[698] | 153 | |
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| 154 | "Pressure" |
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[735] | 155 | DP = InletVapour.P - OutletLiquid.P; |
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[698] | 156 | |
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| 157 | end |
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| 158 | |
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| 159 | #*------------------------------------------------------------------- |
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| 160 | * Condenser with reaction in liquid phase |
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| 161 | *--------------------------------------------------------------------*# |
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| 162 | Model condenserReact |
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| 163 | ATTRIBUTES |
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[721] | 164 | Pallete = false; |
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[698] | 165 | Icon = "icon/Condenser"; |
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| 166 | Brief = "Model of a Condenser with reaction in liquid phase."; |
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| 167 | Info = |
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| 168 | "== Assumptions == |
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| 169 | * perfect mixing of both phases; |
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| 170 | * thermodynamics equilibrium; |
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| 171 | * the reaction only takes place in liquid phase. |
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| 172 | |
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| 173 | == Specify == |
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| 174 | * the reaction related variables; |
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| 175 | * the inlet stream; |
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[735] | 176 | * the outlet flows: OutletVapour.F and OutletLiquid.F; |
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[698] | 177 | * the heat supply. |
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| 178 | |
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| 179 | == Initial Conditions == |
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[735] | 180 | * the condenser temperature (OutletLiquid.T); |
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[698] | 181 | * the condenser liquid level (Level); |
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[735] | 182 | * (NoComps - 1) OutletLiquid (OR OutletVapour) compositions. |
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[698] | 183 | "; |
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| 184 | |
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[721] | 185 | PARAMETERS |
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| 186 | outer PP as Plugin(Type="PP"); |
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[698] | 187 | outer NComp as Integer; |
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[721] | 188 | |
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| 189 | V as volume (Brief="Condenser total volume"); |
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| 190 | Across as area (Brief="Cross Section Area of reboiler"); |
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[698] | 191 | |
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[721] | 192 | stoic(NComp) as Real (Brief="Stoichiometric matrix"); |
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| 193 | Hr as energy_mol; |
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| 194 | Initial_Level as length (Brief="Initial Level of liquid phase"); |
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| 195 | Initial_Temperature as temperature (Brief="Initial Temperature of Condenser"); |
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| 196 | Initial_Composition(NComp) as fraction (Brief="Initial Liquid Composition"); |
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| 197 | |
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| 198 | VARIABLES |
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[698] | 199 | |
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[735] | 200 | in InletVapour as stream (Brief="Vapour inlet stream", PosX=0.1164, PosY=0, Symbol="_{inV}"); |
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| 201 | out OutletLiquid as liquid_stream (Brief="Liquid outlet stream", PosX=0.4513, PosY=1, Symbol="_{outL}"); |
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| 202 | out OutletVapour as vapour_stream (Brief="Vapour outlet stream", PosX=0.4723, PosY=0, Symbol="_{outV}"); |
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[721] | 203 | InletQ as power (Brief="Cold supplied", PosX=1, PosY=0.6311, Symbol="_{in}"); |
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[698] | 204 | |
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[721] | 205 | M(NComp) as mol (Brief="Molar Holdup in the tray"); |
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| 206 | ML as mol (Brief="Molar liquid holdup"); |
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| 207 | MV as mol (Brief="Molar vapour holdup"); |
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| 208 | E as energy (Brief="Total Energy Holdup on tray"); |
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| 209 | vL as volume_mol (Brief="Liquid Molar Volume"); |
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| 210 | vV as volume_mol (Brief="Vapour Molar volume"); |
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| 211 | Level as length (Brief="Level of liquid phase"); |
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| 212 | Vol as volume; |
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| 213 | r3 as reaction_mol (Brief="Reaction Rates", DisplayUnit = 'mol/l/s'); |
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| 214 | C(NComp) as conc_mol (Brief="Molar concentration", Lower = -1); |
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[698] | 215 | |
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[721] | 216 | INITIAL |
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| 217 | |
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| 218 | Level = Initial_Level; |
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[735] | 219 | OutletLiquid.T = Initial_Temperature; |
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| 220 | OutletLiquid.z(1:NComp-1) = Initial_Composition(1:NComp-1)/sum(Initial_Composition); |
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[721] | 221 | |
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| 222 | EQUATIONS |
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| 223 | "Molar Concentration" |
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[735] | 224 | OutletLiquid.z = vL * C; |
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[698] | 225 | |
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[721] | 226 | "Reaction" |
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[735] | 227 | r3 = exp(-7150*'K'/OutletLiquid.T)*(4.85e4*C(1)*C(2) - 1.23e4*C(3)*C(4)) * 'l/mol/s'; |
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[698] | 228 | |
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[721] | 229 | "Component Molar Balance" |
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[735] | 230 | diff(M) = InletVapour.F*InletVapour.z - OutletLiquid.F*OutletLiquid.z - OutletVapour.F*OutletVapour.z + stoic*r3*ML*vL; |
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[698] | 231 | |
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[721] | 232 | "Energy Balance" |
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[735] | 233 | diff(E) = InletVapour.F*InletVapour.h - OutletLiquid.F*OutletLiquid.h- OutletVapour.F*OutletVapour.h + InletQ + Hr * r3 * ML*vL; |
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[698] | 234 | |
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[721] | 235 | "Molar Holdup" |
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[735] | 236 | M = ML*OutletLiquid.z + MV*OutletVapour.z; |
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[698] | 237 | |
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[721] | 238 | "Energy Holdup" |
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[735] | 239 | E = ML*OutletLiquid.h + MV*OutletVapour.h - OutletVapour.P*V; |
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[698] | 240 | |
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[721] | 241 | "Mol fraction normalisation" |
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[735] | 242 | sum(OutletLiquid.z)=1.0; |
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[698] | 243 | |
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[721] | 244 | "Liquid Volume" |
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[735] | 245 | vL = PP.LiquidVolume(OutletLiquid.T, OutletLiquid.P, OutletLiquid.z); |
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[721] | 246 | |
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| 247 | "Vapour Volume" |
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[735] | 248 | vV = PP.VapourVolume(OutletVapour.T, OutletVapour.P, OutletVapour.z); |
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[698] | 249 | |
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[721] | 250 | "Thermal Equilibrium" |
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[735] | 251 | OutletLiquid.T = OutletVapour.T; |
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[698] | 252 | |
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[721] | 253 | "Mechanical Equilibrium" |
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[735] | 254 | OutletVapour.P = OutletLiquid.P; |
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[698] | 255 | |
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[721] | 256 | "Geometry Constraint" |
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[698] | 257 | V = ML*vL + MV*vV; |
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| 258 | |
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| 259 | Vol = ML*vL; |
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| 260 | |
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[721] | 261 | "Level of liquid phase" |
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[698] | 262 | Level = ML*vL/Across; |
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| 263 | |
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[721] | 264 | "Chemical Equilibrium" |
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[735] | 265 | PP.LiquidFugacityCoefficient(OutletLiquid.T, OutletLiquid.P, OutletLiquid.z)*OutletLiquid.z = |
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| 266 | PP.VapourFugacityCoefficient(OutletVapour.T, OutletVapour.P, OutletVapour.z)*OutletVapour.z; |
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[698] | 267 | |
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[735] | 268 | sum(OutletLiquid.z)=sum(OutletVapour.z); |
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[698] | 269 | |
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| 270 | end |
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[755] | 271 | |
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| 272 | Model condenser_column |
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| 273 | ATTRIBUTES |
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| 274 | Pallete = true; |
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[757] | 275 | Icon = "icon/Condenser_column2"; |
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| 276 | Brief = "Model of a dynamic condenser with control."; |
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[755] | 277 | Info = |
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| 278 | "== Assumptions == |
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| 279 | * perfect mixing of both phases; |
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| 280 | * thermodynamics equilibrium. |
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| 281 | |
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| 282 | == Specify == |
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| 283 | * the inlet stream; |
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| 284 | * the outlet flows: OutletVapour.F and OutletLiquid.F; |
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[767] | 285 | * the model requires an energy stream. |
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[755] | 286 | |
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| 287 | == Initial Conditions == |
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[757] | 288 | * Initial_Temperature : the condenser temperature (OutletLiquid.T); |
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| 289 | * Initial_Level : the condenser liquid level (Level); |
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| 290 | * Initial_Composition : (NoComps) OutletLiquid compositions. |
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[755] | 291 | "; |
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| 292 | |
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| 293 | PARAMETERS |
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| 294 | outer PP as Plugin (Brief = "External Physical Properties", Type="PP"); |
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[757] | 295 | outer NComp as Integer (Brief="Number of Components"); |
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[755] | 296 | |
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| 297 | V as volume (Brief="Condenser total volume"); |
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[757] | 298 | Across as area (Brief="Cross Section Area of condenser"); |
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[755] | 299 | |
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[757] | 300 | Initial_Level as length (Brief="Initial Level of liquid phase"); |
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| 301 | Initial_Temperature as temperature (Brief="Initial Temperature of Condenser"); |
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[767] | 302 | Initial_Composition(NComp) as positive (Brief="Initial Liquid Composition", Lower=1E-6); |
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[755] | 303 | |
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| 304 | VARIABLES |
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[757] | 305 | |
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| 306 | in InletVapour as stream (Brief="Vapour inlet stream", PosX=0, PosY=0.5, Symbol="_{inV}"); |
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[755] | 307 | out OutletLiquid as liquid_stream (Brief="Liquid outlet stream", PosX=0.5, PosY=1, Symbol="_{outL}"); |
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[757] | 308 | out OutletVapour as vapour_stream (Brief="Vapour outlet stream", PosX=0.5, PosY=0, Symbol="_{outV}"); |
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| 309 | in InletQ as power (Brief="Heat supplied", Protected = true, PosX=1, PosY=0.6, Symbol="_{in}"); |
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[755] | 310 | |
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[757] | 311 | out TCI as control_signal (Brief="Temperature Indicator of Condenser", Protected = true, PosX=1, PosY=0.40); |
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| 312 | out LCI as control_signal (Brief="Level Indicator of Condenser", Protected = true, PosX=1, PosY=0.25); |
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[767] | 313 | out PCI as control_signal (Brief="Pressure Indicator of Condenser", Protected = true, PosX=1, PosY=0.10); |
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[757] | 314 | |
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| 315 | M(NComp) as mol (Brief="Molar Holdup in the tray"); |
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| 316 | ML as mol (Brief="Molar liquid holdup"); |
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| 317 | MV as mol (Brief="Molar vapour holdup"); |
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[755] | 318 | E as energy (Brief="Total Energy Holdup on tray"); |
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| 319 | vL as volume_mol (Brief="Liquid Molar Volume"); |
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| 320 | vV as volume_mol (Brief="Vapour Molar volume"); |
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[757] | 321 | Level as length (Brief="Level of liquid phase"); |
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[755] | 322 | |
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| 323 | INITIAL |
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| 324 | |
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[757] | 325 | "Initial Level" |
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| 326 | Level = Initial_Level; |
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| 327 | |
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| 328 | "Initial Temperature" |
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| 329 | OutletLiquid.T = Initial_Temperature; |
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| 330 | |
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| 331 | "Initial Composition" |
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| 332 | OutletLiquid.z(1:NComp-1) = Initial_Composition(1:NComp-1)/sum(Initial_Composition); |
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[755] | 333 | |
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| 334 | EQUATIONS |
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| 335 | "Component Molar Balance" |
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| 336 | diff(M) = InletVapour.F*InletVapour.z - OutletLiquid.F*OutletLiquid.z- OutletVapour.F*OutletVapour.z; |
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| 337 | |
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| 338 | "Energy Balance" |
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| 339 | diff(E) = InletVapour.F*InletVapour.h - OutletLiquid.F*OutletLiquid.h- OutletVapour.F*OutletVapour.h + InletQ; |
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| 340 | |
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| 341 | "Molar Holdup" |
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| 342 | M = ML*OutletLiquid.z + MV*OutletVapour.z; |
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| 343 | |
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| 344 | "Energy Holdup" |
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| 345 | E = ML*OutletLiquid.h + MV*OutletVapour.h - OutletVapour.P*V; |
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| 346 | |
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| 347 | "Mol fraction normalisation" |
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| 348 | sum(OutletLiquid.z)=1.0; |
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[767] | 349 | |
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| 350 | "Mol fraction Constraint" |
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[755] | 351 | sum(OutletLiquid.z)=sum(OutletVapour.z); |
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| 352 | |
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| 353 | "Liquid Volume" |
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| 354 | vL = PP.LiquidVolume(OutletLiquid.T, OutletLiquid.P, OutletLiquid.z); |
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| 355 | |
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| 356 | "Vapour Volume" |
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| 357 | vV = PP.VapourVolume(OutletVapour.T, OutletVapour.P, OutletVapour.z); |
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| 358 | |
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| 359 | "Chemical Equilibrium" |
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| 360 | PP.LiquidFugacityCoefficient(OutletLiquid.T, OutletLiquid.P, OutletLiquid.z)*OutletLiquid.z = |
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| 361 | PP.VapourFugacityCoefficient(OutletVapour.T, OutletVapour.P, OutletVapour.z)*OutletVapour.z; |
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| 362 | |
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| 363 | "Thermal Equilibrium" |
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| 364 | OutletLiquid.T = OutletVapour.T; |
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| 365 | |
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| 366 | "Mechanical Equilibrium" |
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| 367 | OutletVapour.P = OutletLiquid.P; |
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| 368 | |
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| 369 | "Geometry Constraint" |
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| 370 | V = ML*vL + MV*vV; |
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| 371 | |
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| 372 | "Level of liquid phase" |
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| 373 | Level = ML*vL/Across; |
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| 374 | |
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[757] | 375 | "Temperature indicator" |
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| 376 | TCI * 'K' = OutletLiquid.T; |
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| 377 | |
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[767] | 378 | "Pressure indicator" |
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| 379 | PCI * 'atm' = OutletLiquid.P; |
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| 380 | |
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[757] | 381 | "Level indicator" |
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| 382 | LCI*V = Level*Across; |
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| 383 | |
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[755] | 384 | end |
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