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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34 | * the outlet flows: OutletV.F and OutletL.F; |
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35 | * the heat supply. |
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36 | |
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37 | == Initial Conditions == |
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38 | * the condenser temperature (OutletL.T); |
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39 | * the condenser liquid level (Level); |
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40 | * (NoComps - 1) OutletL (OR OutletV) compositions. |
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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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49 | |
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50 | VARIABLES |
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51 | in InletV as stream (Brief="Vapour inlet stream", PosX=0.1164, PosY=0, Symbol="_{inV}"); |
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52 | out OutletL as liquid_stream (Brief="Liquid outlet stream", PosX=0.4513, PosY=1, Symbol="_{outL}"); |
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53 | out OutletV as vapour_stream (Brief="Vapour outlet stream", PosX=0.4723, PosY=0, Symbol="_{outV}"); |
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54 | in InletQ as power (Brief="Cold supplied", PosX=1, PosY=0.6311, Symbol="_{in}"); |
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55 | |
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56 | M(NComp) as mol (Brief="Molar Holdup in the tray"); |
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57 | ML as mol (Brief="Molar liquid holdup"); |
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58 | MV as mol (Brief="Molar vapour holdup"); |
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59 | E as energy (Brief="Total Energy Holdup on tray"); |
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60 | vL as volume_mol (Brief="Liquid Molar Volume"); |
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61 | vV as volume_mol (Brief="Vapour Molar volume"); |
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62 | Level as length (Brief="Level of liquid phase"); |
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63 | |
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64 | EQUATIONS |
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65 | "Component Molar Balance" |
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66 | diff(M) = InletV.F*InletV.z - OutletL.F*OutletL.z- OutletV.F*OutletV.z; |
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67 | |
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68 | "Energy Balance" |
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69 | diff(E) = InletV.F*InletV.h - OutletL.F*OutletL.h- OutletV.F*OutletV.h + InletQ; |
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70 | |
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71 | "Molar Holdup" |
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72 | M = ML*OutletL.z + MV*OutletV.z; |
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73 | |
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74 | "Energy Holdup" |
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75 | E = ML*OutletL.h + MV*OutletV.h - OutletV.P*V; |
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76 | |
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77 | "Mol fraction normalisation" |
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78 | sum(OutletL.z)=1.0; |
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79 | sum(OutletL.z)=sum(OutletV.z); |
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80 | |
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81 | "Liquid Volume" |
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82 | vL = PP.LiquidVolume(OutletL.T, OutletL.P, OutletL.z); |
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83 | |
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84 | "Vapour Volume" |
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85 | vV = PP.VapourVolume(OutletV.T, OutletV.P, OutletV.z); |
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86 | |
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87 | "Chemical Equilibrium" |
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88 | PP.LiquidFugacityCoefficient(OutletL.T, OutletL.P, OutletL.z)*OutletL.z = |
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89 | PP.VapourFugacityCoefficient(OutletV.T, OutletV.P, OutletV.z)*OutletV.z; |
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90 | |
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91 | "Thermal Equilibrium" |
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92 | OutletL.T = OutletV.T; |
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93 | |
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94 | "Mechanical Equilibrium" |
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95 | OutletV.P = OutletL.P; |
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96 | |
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97 | "Geometry Constraint" |
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98 | V = ML*vL + MV*vV; |
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99 | |
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100 | "Level of liquid phase" |
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101 | Level = ML*vL/Across; |
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102 | |
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103 | end |
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104 | |
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105 | |
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106 | #*---------------------------------------------------------------------- |
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107 | * Model of a Steady State condenser with no thermodynamics equilibrium |
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108 | *---------------------------------------------------------------------*# |
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109 | Model condenserSteady |
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110 | ATTRIBUTES |
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111 | Pallete = true; |
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112 | Icon = "icon/CondenserSteady"; |
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113 | Brief = "Model of a Steady State condenser with no thermodynamics equilibrium."; |
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114 | Info = |
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115 | "== Assumptions == |
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116 | * perfect mixing of both phases; |
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117 | * no thermodynamics equilibrium. |
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118 | |
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119 | == Specify == |
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120 | * the inlet stream; |
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121 | * the pressure drop in the condenser; |
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122 | * the heat supply. |
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123 | "; |
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124 | |
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125 | PARAMETERS |
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126 | outer PP as Plugin (Brief = "External Physical Properties", Type="PP"); |
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127 | outer NComp as Integer; |
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128 | |
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129 | VARIABLES |
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130 | in InletV as stream (Brief="Vapour inlet stream", PosX=0.3431, PosY=0, Symbol="_{inV}"); |
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131 | out OutletL as liquid_stream (Brief="Liquid outlet stream", PosX=0.34375, PosY=1, Symbol="_{outL}"); |
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132 | in InletQ as power (Brief="Cold supplied", PosX=1, PosY=0.5974, Symbol="_{in}"); |
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133 | DP as press_delta (Brief="Pressure Drop in the condenser",Default=0); |
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134 | |
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135 | EQUATIONS |
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136 | |
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137 | "Molar Balance" |
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138 | InletV.F = OutletL.F; |
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139 | InletV.z = OutletL.z; |
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140 | |
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141 | "Energy Balance" |
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142 | InletV.F*InletV.h = OutletL.F*OutletL.h + InletQ; |
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143 | |
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144 | "Pressure" |
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145 | DP = InletV.P - OutletL.P; |
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146 | |
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147 | end |
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148 | |
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149 | #*------------------------------------------------------------------- |
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150 | * Condenser with reaction in liquid phase |
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151 | *--------------------------------------------------------------------*# |
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152 | Model condenserReact |
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153 | ATTRIBUTES |
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154 | Pallete = true; |
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155 | Icon = "icon/Condenser"; |
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156 | Brief = "Model of a Condenser with reaction in liquid phase."; |
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157 | Info = |
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158 | "== Assumptions == |
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159 | * perfect mixing of both phases; |
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160 | * thermodynamics equilibrium; |
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161 | * the reaction only takes place in liquid phase. |
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162 | |
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163 | == Specify == |
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164 | * the reaction related variables; |
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165 | * the inlet stream; |
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166 | * the outlet flows: OutletV.F and OutletL.F; |
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167 | * the heat supply. |
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168 | |
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169 | == Initial Conditions == |
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170 | * the condenser temperature (OutletL.T); |
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171 | * the condenser liquid level (Level); |
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172 | * (NoComps - 1) OutletL (OR OutletV) compositions. |
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173 | "; |
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174 | |
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175 | PARAMETERS |
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176 | outer PP as Plugin(Type="PP"); |
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177 | outer NComp as Integer; |
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178 | V as volume (Brief="Condenser total volume"); |
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179 | Across as area (Brief="Cross Section Area of reboiler"); |
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180 | |
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181 | stoic(NComp) as Real(Brief="Stoichiometric matrix"); |
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182 | Hr as energy_mol; |
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183 | Pstartup as pressure; |
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184 | |
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185 | VARIABLES |
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186 | in InletV as stream(Brief="Vapour inlet stream", PosX=0.1164, PosY=0, Symbol="_{inV}"); |
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187 | out OutletL as liquid_stream(Brief="Liquid outlet stream", PosX=0.4513, PosY=1, Symbol="_{outL}"); |
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188 | out OutletV as vapour_stream(Brief="Vapour outlet stream", PosX=0.4723, PosY=0, Symbol="_{outV}"); |
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189 | InletQ as power (Brief="Cold supplied", PosX=1, PosY=0.6311, Symbol="_{in}"); |
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190 | |
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191 | M(NComp) as mol (Brief="Molar Holdup in the tray"); |
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192 | ML as mol (Brief="Molar liquid holdup"); |
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193 | MV as mol (Brief="Molar vapour holdup"); |
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194 | E as energy (Brief="Total Energy Holdup on tray"); |
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195 | vL as volume_mol (Brief="Liquid Molar Volume"); |
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196 | vV as volume_mol (Brief="Vapour Molar volume"); |
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197 | Level as length (Brief="Level of liquid phase"); |
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198 | Vol as volume; |
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199 | r3 as reaction_mol (Brief = "Reaction resulting ethyl acetate", DisplayUnit = 'mol/l/s'); |
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200 | C(NComp) as conc_mol (Brief = "Molar concentration", Lower = -1); |
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201 | |
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202 | EQUATIONS |
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203 | "Molar Concentration" |
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204 | OutletL.z = vL * C; |
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205 | |
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206 | "Reaction" |
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207 | r3 = exp(-7150*'K'/OutletL.T)*(4.85e4*C(1)*C(2) - 1.23e4*C(3)*C(4)) * 'l/mol/s'; |
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208 | |
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209 | "Component Molar Balance" |
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210 | diff(M) = InletV.F*InletV.z - OutletL.F*OutletL.z |
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211 | - OutletV.F*OutletV.z + stoic*r3*ML*vL; |
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212 | |
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213 | "Energy Balance" |
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214 | diff(E) = InletV.F*InletV.h - OutletL.F*OutletL.h |
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215 | - OutletV.F*OutletV.h + InletQ + Hr * r3 * ML*vL; |
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216 | |
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217 | "Molar Holdup" |
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218 | M = ML*OutletL.z + MV*OutletV.z; |
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219 | |
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220 | "Energy Holdup" |
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221 | E = ML*OutletL.h + MV*OutletV.h - OutletV.P*V; |
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222 | |
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223 | "Mol fraction normalisation" |
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224 | sum(OutletL.z)=1.0; |
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225 | |
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226 | "Liquid Volume" |
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227 | vL = PP.LiquidVolume(OutletL.T, OutletL.P, OutletL.z); |
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228 | "Vapour Volume" |
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229 | vV = PP.VapourVolume(OutletV.T, OutletV.P, OutletV.z); |
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230 | |
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231 | "Thermal Equilibrium" |
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232 | OutletL.T = OutletV.T; |
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233 | |
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234 | "Mechanical Equilibrium" |
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235 | OutletV.P = OutletL.P; |
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236 | |
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237 | "Geometry Constraint" |
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238 | V = ML*vL + MV*vV; |
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239 | |
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240 | Vol = ML*vL; |
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241 | |
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242 | "Level of liquid phase" |
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243 | Level = ML*vL/Across; |
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244 | |
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245 | "Chemical Equilibrium" |
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246 | PP.LiquidFugacityCoefficient(OutletL.T, OutletL.P, OutletL.z)*OutletL.z = |
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247 | PP.VapourFugacityCoefficient(OutletV.T, OutletV.P, OutletV.z)*OutletV.z; |
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248 | |
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249 | sum(OutletL.z)=sum(OutletV.z); |
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250 | |
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251 | end |
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