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 condenserSteady |
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23 | |
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24 | ATTRIBUTES |
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25 | Pallete = true; |
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26 | Icon = "icon/CondenserSteady"; |
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27 | Brief = "Model of a Steady State condenser with no thermodynamics equilibrium."; |
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28 | Info = |
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29 | "== ASSUMPTIONS == |
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30 | * perfect mixing of both phases; |
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31 | * no thermodynamics equilibrium. |
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32 | |
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33 | == SET == |
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34 | * the pressure drop in the condenser; |
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35 | |
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36 | == SPECIFY == |
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37 | * the InletVapour stream; |
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38 | * the InletQ (the model requires an energy stream, also you can use a controller for setting the heat duty using the heat_flow model). |
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39 | |
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40 | == OPTIONAL == |
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41 | * the condenser model has two control ports |
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42 | ** TI OutletLiquid Temperature Indicator; |
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43 | ** PI OutletLiquid Pressure Indicator; |
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44 | "; |
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45 | |
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46 | PARAMETERS |
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47 | outer PP as Plugin (Brief = "External Physical Properties", Type="PP"); |
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48 | outer NComp as Integer (Brief = "Number of Components"); |
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49 | |
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50 | Pdrop as press_delta (Brief="Pressure Drop in the condenser",Default=0, Symbol="\Delta _P"); |
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51 | |
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52 | VARIABLES |
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53 | in InletVapour as stream (Brief="Vapour inlet stream", PosX=0.16, PosY=0, Symbol="_{in}^{Vapour}"); |
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54 | out OutletLiquid as liquid_stream (Brief="Liquid outlet stream", PosX=0.53, PosY=1, Symbol="_{out}^{Liquid}"); |
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55 | in InletQ as power (Brief="Heat Duty", PosX=1, PosY=0.08, Symbol="Q_{in}",Protected=true); |
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56 | |
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57 | out TI as control_signal (Brief="Temperature Indicator of Condenser", Protected = true, PosX=0.50, PosY=0); |
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58 | out PI as control_signal (Brief="Pressure Indicator of Condenser", Protected = true, PosX=0.32, PosY=0); |
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59 | |
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60 | EQUATIONS |
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61 | |
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62 | "Molar Flow Balance" |
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63 | InletVapour.F = OutletLiquid.F; |
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64 | |
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65 | "Molar Composition Balance" |
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66 | InletVapour.z = OutletLiquid.z; |
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67 | |
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68 | "Energy Balance" |
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69 | InletVapour.F*InletVapour.h = OutletLiquid.F*OutletLiquid.h + InletQ; |
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70 | |
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71 | "Pressure Drop" |
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72 | OutletLiquid.P = InletVapour.P - Pdrop; |
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73 | |
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74 | "Temperature indicator" |
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75 | TI * 'K' = OutletLiquid.T; |
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76 | |
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77 | "Pressure indicator" |
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78 | PI * 'atm' = OutletLiquid.P; |
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79 | |
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80 | end |
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81 | |
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82 | Model condenserReact |
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83 | ATTRIBUTES |
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84 | Pallete = false; |
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85 | Icon = "icon/Condenser"; |
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86 | Brief = "Model of a Condenser with reaction in liquid phase."; |
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87 | Info = |
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88 | "== Assumptions == |
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89 | * perfect mixing of both phases; |
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90 | * thermodynamics equilibrium; |
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91 | * the reaction only takes place in liquid phase. |
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92 | |
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93 | == Specify == |
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94 | * the reaction related variables; |
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95 | * the inlet stream; |
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96 | * the outlet flows: OutletVapour.F and OutletLiquid.F; |
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97 | * the heat supply. |
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98 | |
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99 | == Initial Conditions == |
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100 | * the condenser temperature (OutletLiquid.T); |
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101 | * the condenser liquid level (Level); |
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102 | * (NoComps - 1) OutletLiquid (OR OutletVapour) compositions. |
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103 | "; |
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104 | |
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105 | PARAMETERS |
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106 | outer PP as Plugin(Type="PP"); |
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107 | outer NComp as Integer; |
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108 | |
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109 | V as volume (Brief="Condenser total volume"); |
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110 | Across as area (Brief="Cross Section Area of reboiler"); |
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111 | |
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112 | stoic(NComp) as Real (Brief="Stoichiometric matrix"); |
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113 | Hr as energy_mol; |
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114 | Initial_Level as length (Brief="Initial Level of liquid phase"); |
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115 | Initial_Temperature as temperature (Brief="Initial Temperature of Condenser"); |
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116 | Initial_Composition(NComp) as fraction (Brief="Initial Liquid Composition"); |
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117 | |
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118 | VARIABLES |
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119 | |
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120 | in InletVapour as stream (Brief="Vapour inlet stream", PosX=0.1164, PosY=0, Symbol="_{inV}"); |
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121 | out OutletLiquid as liquid_stream (Brief="Liquid outlet stream", PosX=0.4513, PosY=1, Symbol="_{outL}"); |
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122 | out OutletVapour as vapour_stream (Brief="Vapour outlet stream", PosX=0.4723, PosY=0, Symbol="_{outV}"); |
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123 | InletQ as power (Brief="Cold supplied", PosX=1, PosY=0.6311, Symbol="_{in}"); |
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124 | |
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125 | M(NComp) as mol (Brief="Molar Holdup in the tray"); |
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126 | ML as mol (Brief="Molar liquid holdup"); |
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127 | MV as mol (Brief="Molar vapour holdup"); |
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128 | E as energy (Brief="Total Energy Holdup on tray"); |
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129 | vL as volume_mol (Brief="Liquid Molar Volume"); |
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130 | vV as volume_mol (Brief="Vapour Molar volume"); |
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131 | Level as length (Brief="Level of liquid phase"); |
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132 | Vol as volume; |
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133 | r3 as reaction_mol (Brief="Reaction Rates", DisplayUnit = 'mol/l/s'); |
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134 | C(NComp) as conc_mol (Brief="Molar concentration", Lower = -1); |
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135 | |
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136 | INITIAL |
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137 | |
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138 | Level = Initial_Level; |
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139 | OutletLiquid.T = Initial_Temperature; |
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140 | OutletLiquid.z(1:NComp-1) = Initial_Composition(1:NComp-1)/sum(Initial_Composition); |
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141 | |
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142 | EQUATIONS |
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143 | "Molar Concentration" |
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144 | OutletLiquid.z = vL * C; |
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145 | |
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146 | "Reaction" |
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147 | 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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148 | |
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149 | "Component Molar Balance" |
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150 | diff(M) = InletVapour.F*InletVapour.z - OutletLiquid.F*OutletLiquid.z - OutletVapour.F*OutletVapour.z + stoic*r3*ML*vL; |
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151 | |
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152 | "Energy Balance" |
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153 | diff(E) = InletVapour.F*InletVapour.h - OutletLiquid.F*OutletLiquid.h- OutletVapour.F*OutletVapour.h + InletQ + Hr * r3 * ML*vL; |
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154 | |
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155 | "Molar Holdup" |
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156 | M = ML*OutletLiquid.z + MV*OutletVapour.z; |
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157 | |
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158 | "Energy Holdup" |
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159 | E = ML*OutletLiquid.h + MV*OutletVapour.h - OutletVapour.P*V; |
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160 | |
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161 | "Mol fraction normalisation" |
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162 | sum(OutletLiquid.z)=1.0; |
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163 | |
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164 | "Liquid Volume" |
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165 | vL = PP.LiquidVolume(OutletLiquid.T, OutletLiquid.P, OutletLiquid.z); |
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166 | |
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167 | "Vapour Volume" |
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168 | vV = PP.VapourVolume(OutletVapour.T, OutletVapour.P, OutletVapour.z); |
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169 | |
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170 | "Thermal Equilibrium" |
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171 | OutletLiquid.T = OutletVapour.T; |
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172 | |
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173 | "Mechanical Equilibrium" |
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174 | OutletVapour.P = OutletLiquid.P; |
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175 | |
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176 | "Geometry Constraint" |
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177 | V = ML*vL + MV*vV; |
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178 | |
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179 | Vol = ML*vL; |
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180 | |
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181 | "Level of liquid phase" |
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182 | Level = ML*vL/Across; |
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183 | |
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184 | "Chemical Equilibrium" |
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185 | PP.LiquidFugacityCoefficient(OutletLiquid.T, OutletLiquid.P, OutletLiquid.z)*OutletLiquid.z = |
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186 | PP.VapourFugacityCoefficient(OutletVapour.T, OutletVapour.P, OutletVapour.z)*OutletVapour.z; |
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187 | |
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188 | sum(OutletLiquid.z)=sum(OutletVapour.z); |
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189 | |
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190 | end |
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191 | |
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192 | Model condenser |
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193 | |
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194 | ATTRIBUTES |
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195 | Pallete = true; |
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196 | Icon = "icon/Condenser"; |
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197 | Brief = "Model of a dynamic condenser with control."; |
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198 | Info = |
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199 | "== ASSUMPTIONS == |
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200 | * perfect mixing of both phases; |
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201 | * thermodynamics equilibrium. |
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202 | |
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203 | == SPECIFY == |
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204 | * the InletVapour stream; |
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205 | * the outlet flows: OutletVapour.F and OutletLiquid.F; |
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206 | * the InletQ (the model requires an energy stream, also you can use a controller for setting the heat duty using the heat_flow model). |
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207 | |
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208 | == OPTIONAL == |
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209 | * the condenser model has three control ports |
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210 | ** TI OutletLiquid Temperature Indicator; |
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211 | ** PI OutletLiquid Pressure Indicator; |
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212 | ** LI Level Indicator of Condenser; |
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213 | |
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214 | == INITIAL CONDITIONS == |
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215 | * Initial_Temperature : the condenser temperature (OutletLiquid.T); |
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216 | * Initial_Level : the condenser liquid level (Level); |
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217 | * Initial_Composition : (NoComps) OutletLiquid compositions. |
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218 | "; |
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219 | |
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220 | PARAMETERS |
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221 | outer PP as Plugin (Brief = "External Physical Properties", Type="PP"); |
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222 | outer NComp as Integer (Brief="Number of Components"); |
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223 | |
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224 | Mw(NComp) as molweight (Brief = "Component Mol Weight",Hidden=true); |
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225 | low_flow as flow_mol (Brief = "Low Flow",Default = 1E-6, Hidden=true); |
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226 | zero_flow as flow_mol (Brief = "No Flow",Default = 0, Hidden=true); |
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227 | KfConst as area (Brief="Constant for K factor pressure drop", Default = 1, Hidden=true); |
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228 | |
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229 | VapourFlow as Switcher (Brief="Vapour Flow", Valid = ["on", "off"], Default = "on",Hidden=true); |
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230 | |
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231 | V as volume (Brief="Condenser total volume"); |
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232 | Across as area (Brief="Cross Section Area of condenser"); |
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233 | Kfactor as positive (Brief="K factor for pressure drop", Lower = 1E-8, Default = 1E-3); |
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234 | |
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235 | Initial_Level as length (Brief="Initial Level of liquid phase"); |
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236 | Initial_Temperature as temperature (Brief="Initial Temperature of Condenser"); |
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237 | Initial_Composition(NComp) as positive (Brief="Initial Liquid Composition", Lower=1E-6); |
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238 | |
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239 | VARIABLES |
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240 | |
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241 | in InletVapour as stream (Brief="Vapour inlet stream", PosX=0.13, PosY=0, Symbol="_{in}^{Vapour}"); |
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242 | out OutletLiquid as liquid_stream (Brief="Liquid outlet stream", PosX=0.35, PosY=1, Symbol="_{out}^{Liquid}"); |
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243 | out OutletVapour as vapour_stream (Brief="Vapour outlet stream", PosX=0.54, PosY=0, Symbol="_{out}^{Vapour}"); |
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244 | in InletQ as power (Brief="Heat supplied", Protected = true, PosX=1, PosY=0.08, Symbol="Q_{in}"); |
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245 | |
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246 | out TI as control_signal (Brief="Temperature Indicator of Condenser", Protected = true, PosX=0.33, PosY=0); |
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247 | out LI as control_signal (Brief="Level Indicator of Condenser", Protected = true, PosX=0.43, PosY=0); |
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248 | out PI as control_signal (Brief="Pressure Indicator of Condenser", Protected = true, PosX=0.25, PosY=0); |
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249 | |
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250 | M(NComp) as mol (Brief="Molar Holdup in the tray", Protected = true); |
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251 | ML as mol (Brief="Molar liquid holdup", Protected = true); |
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252 | MV as mol (Brief="Molar vapour holdup", Protected = true); |
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253 | E as energy (Brief="Total Energy Holdup on tray", Protected = true); |
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254 | vL as volume_mol (Brief="Liquid Molar Volume", Protected = true); |
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255 | vV as volume_mol (Brief="Vapour Molar volume", Protected = true); |
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256 | rho as dens_mass (Brief ="Inlet Vapour Mass Density",Hidden=true, Symbol ="\rho"); |
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257 | Level as length (Brief="Level of liquid phase", Protected = true); |
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258 | Pdrop as press_delta (Brief = "Pressure Drop", DisplayUnit = 'kPa', Symbol ="\Delta P", Protected=true); |
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259 | |
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260 | SET |
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261 | |
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262 | Mw = PP.MolecularWeight(); |
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263 | low_flow = 1E-6 * 'kmol/h'; |
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264 | zero_flow = 0 * 'kmol/h'; |
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265 | KfConst = 1*'m^2'; |
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266 | |
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267 | INITIAL |
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268 | |
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269 | "Initial Level" |
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270 | Level = Initial_Level; |
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271 | |
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272 | "Initial Temperature" |
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273 | OutletLiquid.T = Initial_Temperature; |
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274 | |
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275 | "Initial Composition" |
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276 | OutletLiquid.z(1:NComp-1) = Initial_Composition(1:NComp-1)/sum(Initial_Composition); |
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277 | |
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278 | EQUATIONS |
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279 | |
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280 | switch VapourFlow |
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281 | |
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282 | case "on": |
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283 | InletVapour.F*sum(Mw*InletVapour.z) = Kfactor *sqrt(Pdrop*rho)*KfConst; |
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284 | |
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285 | when InletVapour.F < low_flow switchto "off"; |
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286 | |
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287 | case "off": |
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288 | InletVapour.F = zero_flow; |
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289 | |
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290 | when InletVapour.P > OutletLiquid.P switchto "on"; |
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291 | |
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292 | end |
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293 | |
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294 | "Component Molar Balance" |
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295 | diff(M) = InletVapour.F*InletVapour.z - OutletLiquid.F*OutletLiquid.z- OutletVapour.F*OutletVapour.z; |
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296 | |
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297 | "Energy Balance" |
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298 | diff(E) = InletVapour.F*InletVapour.h - OutletLiquid.F*OutletLiquid.h- OutletVapour.F*OutletVapour.h + InletQ; |
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299 | |
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300 | "Molar Holdup" |
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301 | M = ML*OutletLiquid.z + MV*OutletVapour.z; |
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302 | |
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303 | "Energy Holdup" |
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304 | E = ML*OutletLiquid.h + MV*OutletVapour.h - OutletVapour.P*V; |
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305 | |
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306 | "Mol fraction normalisation" |
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307 | sum(OutletLiquid.z)=1.0; |
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308 | |
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309 | "Mol fraction Constraint" |
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310 | sum(OutletLiquid.z)=sum(OutletVapour.z); |
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311 | |
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312 | "Liquid Volume" |
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313 | vL = PP.LiquidVolume(OutletLiquid.T, OutletLiquid.P, OutletLiquid.z); |
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314 | |
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315 | "Vapour Volume" |
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316 | vV = PP.VapourVolume(OutletVapour.T, OutletVapour.P, OutletVapour.z); |
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317 | |
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318 | "Inlet Vapour Density" |
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319 | rho = PP.VapourDensity(InletVapour.T, InletVapour.P, InletVapour.z); |
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320 | |
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321 | "Chemical Equilibrium" |
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322 | PP.LiquidFugacityCoefficient(OutletLiquid.T, OutletLiquid.P, OutletLiquid.z)*OutletLiquid.z = |
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323 | PP.VapourFugacityCoefficient(OutletVapour.T, OutletVapour.P, OutletVapour.z)*OutletVapour.z; |
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324 | |
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325 | "Thermal Equilibrium" |
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326 | OutletLiquid.T = OutletVapour.T; |
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327 | |
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328 | "Mechanical Equilibrium" |
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329 | OutletVapour.P = OutletLiquid.P; |
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330 | |
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331 | "Pressure Drop" |
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332 | OutletLiquid.P = InletVapour.P - Pdrop; |
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333 | |
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334 | "Geometry Constraint" |
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335 | V = ML*vL + MV*vV; |
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336 | |
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337 | "Level of liquid phase" |
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338 | Level = ML*vL/Across; |
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339 | |
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340 | "Temperature indicator" |
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341 | TI * 'K' = OutletLiquid.T; |
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342 | |
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343 | "Pressure indicator" |
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344 | PI * 'atm' = OutletLiquid.P; |
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345 | |
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346 | "Level indicator" |
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347 | LI*V = Level*Across; |
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348 | |
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349 | end |
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