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 | * Model of tanks |
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17 | *-------------------------------------------------------------------- |
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18 | * Streams: |
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19 | * * an inlet stream |
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20 | * * an outlet stream |
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21 | * |
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22 | * Specify: |
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23 | * * the Inlet stream |
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24 | * * the Outlet flow |
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25 | * * the tank Q |
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26 | * |
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27 | * Initial: |
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28 | * * the tank temperature (OutletL.T) |
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29 | * * the tank level (h) |
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30 | * * (NoComps - 1) Outlet compositions |
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31 | *---------------------------------------------------------------------- |
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32 | * Author: Paula B. Staudt |
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33 | * $Id: tank.mso 794 2009-07-15 20:28:09Z bicca $ |
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34 | *--------------------------------------------------------------------*# |
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35 | |
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36 | using "streams"; |
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37 | |
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38 | Model tank |
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39 | ATTRIBUTES |
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40 | Pallete = true; |
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41 | Icon = "icon/Tank"; |
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42 | Brief = "Model of a cylindrical tank."; |
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43 | Info = |
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44 | "== Specify == |
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45 | * the Inlet stream; |
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46 | * the outlet flow; |
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47 | * the InletQ (requires an energy source). |
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48 | |
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49 | == Initial Conditions == |
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50 | * the tank initial temperature; |
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51 | * the tank initial level; |
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52 | * the tank initial composition. |
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53 | "; |
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54 | |
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55 | PARAMETERS |
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56 | outer PP as Plugin (Brief = "External Physical Properties", Type="PP"); |
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57 | outer NComp as Integer; |
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58 | |
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59 | pi as positive (Brief="Pi value", Default=3.141593,Hidden=true); |
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60 | Diameter as length (Brief="Tank internal Diameter",Default=1.5); |
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61 | Across as area (Brief="Tank cross section area", Hidden=true); |
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62 | L as length (Brief="Tank length",Default=5); |
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63 | |
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64 | |
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65 | Initial_Level as length (Brief="Initial Level of the Tank",Default=1); |
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66 | Initial_Temperature as temperature (Brief="Initial Temperature of Liquid",Default=300); |
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67 | Initial_Composition(NComp) as positive (Brief="Initial Liquid Composition",Lower=1E-8, Default=0.10); |
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68 | |
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69 | SET |
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70 | |
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71 | Across = 0.25*pi*(Diameter)^2; |
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72 | |
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73 | VARIABLES |
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74 | in Inlet as stream (Brief = "Inlet stream", PosX=0.3037, PosY=0, Symbol="_{in}"); |
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75 | out Outlet as liquid_stream (Brief = "Outlet liquid stream", PosX=1, PosY=1, Symbol="_{out}"); |
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76 | in InletQ as power (Brief="Rate of heat supply", PosX=1, PosY=0.7859, Symbol="_{in}",Protected=true); |
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77 | Vtotal as volume (Brief="Tank total volume",Protected=true); |
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78 | Vfilled as volume (Brief="Tank volume content",Protected=true); |
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79 | Level as length (Brief="Tank level",Protected=true); |
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80 | E as energy (Brief="Total Energy Holdup on tank",Protected=true); |
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81 | vL as volume_mol (Brief="Liquid Molar Volume",Protected=true); |
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82 | M(NComp) as mol (Brief="Molar Holdup in the tank",Protected=true); |
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83 | |
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84 | INITIAL |
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85 | |
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86 | "Initial Level" |
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87 | Level = Initial_Level; |
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88 | |
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89 | "Initial Liquid Temperature" |
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90 | Outlet.T = Initial_Temperature; |
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91 | |
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92 | "Initial Liquid Composition" |
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93 | Outlet.z(1:NComp-1) = Initial_Composition(1:NComp-1)/sum(Initial_Composition); |
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94 | |
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95 | EQUATIONS |
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96 | |
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97 | "Tank total volume" |
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98 | Vtotal = Across*L; |
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99 | |
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100 | "Mass balance" |
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101 | diff(M) = Inlet.F*Inlet.z - Outlet.F*Outlet.z; |
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102 | |
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103 | "Energy balance" |
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104 | diff(E) = Inlet.F*Inlet.h - Outlet.F*Outlet.h + InletQ; |
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105 | |
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106 | "Energy Holdup" |
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107 | E = sum(M)*Outlet.h; |
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108 | |
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109 | "Mechanical Equilibrium" |
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110 | Inlet.P = Outlet.P; |
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111 | |
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112 | "Liquid Volume" |
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113 | vL = PP.LiquidVolume(Outlet.T, Outlet.P, Outlet.z); |
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114 | |
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115 | "Composition" |
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116 | M = Outlet.z*sum(M); |
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117 | |
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118 | "Level of liquid phase" |
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119 | Level = sum(M)*vL/Across; |
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120 | |
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121 | "Volume Filled of liquid phase" |
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122 | Vfilled = Level*Across; |
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123 | |
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124 | end |
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125 | |
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126 | Model RefluxDrum |
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127 | |
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128 | ATTRIBUTES |
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129 | Pallete = true; |
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130 | Icon = "icon/RefluxDrum"; |
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131 | Brief = "Model of a Reflux Drum with a lain cylinder geometry."; |
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132 | Info = |
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133 | "== Specify == |
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134 | * the Inlet stream; |
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135 | * the outlet flow; |
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136 | * the InletQ (requires an energy source). |
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137 | |
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138 | == Initial Conditions == |
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139 | * the tank initial temperature; |
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140 | * the tank initial level; |
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141 | * the tank initial composition. |
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142 | "; |
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143 | |
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144 | PARAMETERS |
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145 | outer PP as Plugin (Brief = "External Physical Properties", Type="PP"); |
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146 | outer NComp as Integer (Brief = "Number of Components"); |
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147 | |
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148 | pi as positive (Brief="Pi value", Default=3.141593,Hidden=true); |
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149 | eps as positive (Brief="small number",Default=1E-8,Hidden=true); |
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150 | Diameter as length (Brief="Tank internal Diameter",Default=1.5); |
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151 | radius as length (Brief="Tank radius",Hidden=true); |
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152 | L as length (Brief="Tank length",Default=5); |
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153 | |
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154 | Initial_Level as length (Brief="Initial Level of the Tank",Default=1); |
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155 | Initial_Temperature as temperature (Brief="Initial Temperature of Liquid",Default=300); |
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156 | Initial_Composition(NComp) as positive (Brief="Initial Liquid Composition",Lower=1E-8,Default=0.1); |
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157 | |
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158 | SET |
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159 | radius = 0.5*Diameter; |
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160 | |
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161 | VARIABLES |
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162 | in Inlet as stream (Brief="Inlet stream", PosX=0.1825, PosY=0, Symbol="_{in}"); |
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163 | out Outlet as liquid_stream (Brief="Outlet liquid stream", PosX=1, PosY=1, Symbol="_{out}"); |
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164 | in InletQ as power (Brief="Rate of heat supply", PosX=1, PosY=0.6160, Symbol="_{in}",Protected=true); |
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165 | Level as length (Brief="Tank level",Protected=true); |
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166 | Vtotal as volume (Brief="Tank total volume",Protected=true); |
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167 | Vfilled as volume (Brief="Tank volume content",Protected=true); |
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168 | Across as area (Brief="Tank cross section area", Default=2,Protected=true); |
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169 | E as energy (Brief="Total Energy Holdup on tank",Protected=true); |
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170 | vL as volume_mol (Brief="Liquid Molar Volume",Protected=true); |
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171 | M(NComp) as mol (Brief="Molar Holdup in the tank",Protected=true); |
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172 | |
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173 | INITIAL |
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174 | |
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175 | "Initial Level" |
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176 | Level = Initial_Level; |
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177 | |
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178 | "Initial Liquid Temperature" |
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179 | Outlet.T = Initial_Temperature; |
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180 | |
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181 | "Initial Liquid Composition" |
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182 | Outlet.z(1:NComp-1) = Initial_Composition(1:NComp-1)/sum(Initial_Composition); |
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183 | |
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184 | EQUATIONS |
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185 | |
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186 | "Tank total volume" |
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187 | Vtotal = (0.25*pi*(Diameter)^2)*L; |
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188 | |
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189 | "Mass balance" |
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190 | diff(M) = Inlet.F*Inlet.z - Outlet.F*Outlet.z; |
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191 | |
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192 | "Energy balance" |
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193 | diff(E) = Inlet.F*Inlet.h - Outlet.F*Outlet.h + InletQ; |
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194 | |
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195 | "Energy Holdup" |
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196 | E = sum(M)*Outlet.h; |
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197 | |
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198 | "Mechanical Equilibrium" |
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199 | Inlet.P = Outlet.P; |
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200 | |
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201 | "Liquid Volume" |
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202 | vL = PP.LiquidVolume(Outlet.T, Outlet.P, Outlet.z); |
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203 | |
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204 | "Composition" |
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205 | M = Outlet.z*sum(M); |
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206 | |
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207 | "Cylindrical Area" |
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208 | Across = radius^2 * (asin(1) - asin((radius-Level)/radius) ) + (Level-radius)*sqrt(Level*(2*radius - Level)+eps*'m^2'); |
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209 | |
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210 | "Level of liquid phase" |
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211 | L*Across = sum(M)*vL; |
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212 | |
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213 | "Volume Filled of liquid phase" |
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214 | Vfilled = L*Across; |
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215 | |
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216 | end |
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217 | |
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218 | Model tank_cylindrical |
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219 | ATTRIBUTES |
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220 | Pallete = true; |
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221 | Icon = "icon/TankHorizontal"; |
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222 | Brief = "Model of a tank with a lain cylinder geometry."; |
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223 | Info = |
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224 | "== Specify == |
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225 | * the Inlet stream; |
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226 | * the outlet flow; |
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227 | * the InletQ (requires an energy source). |
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228 | |
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229 | == Initial Conditions == |
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230 | * the tank initial temperature; |
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231 | * the tank initial level; |
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232 | * the tank initial composition. |
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233 | "; |
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234 | |
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235 | PARAMETERS |
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236 | outer PP as Plugin (Brief = "External Physical Properties", Type="PP"); |
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237 | outer NComp as Integer (Brief = "Number of Components"); |
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238 | |
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239 | pi as positive (Brief="Pi value", Default=3.141593,Hidden=true); |
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240 | eps as positive (Brief="small number",Default=1E-8,Hidden=true); |
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241 | Diameter as length (Brief="Tank internal Diameter",Default=1.5); |
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242 | radius as length (Brief="Tank radius",Hidden=true); |
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243 | L as length (Brief="Tank length",Default=5); |
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244 | |
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245 | Initial_Level as length (Brief="Initial Level of the Tank",Default=1); |
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246 | Initial_Temperature as temperature (Brief="Initial Temperature of Liquid",Default=300); |
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247 | Initial_Composition(NComp) as positive (Brief="Initial Liquid Composition",Lower=1E-8,Default=0.1); |
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248 | |
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249 | SET |
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250 | radius = Diameter/2; |
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251 | |
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252 | VARIABLES |
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253 | in Inlet as stream (Brief="Inlet stream", PosX=0.1825, PosY=0, Symbol="_{in}"); |
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254 | out Outlet as liquid_stream (Brief="Outlet liquid stream", PosX=1, PosY=1, Symbol="_{out}"); |
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255 | in InletQ as power (Brief="Rate of heat supply", PosX=1, PosY=0.6160, Symbol="_{in}",Protected=true); |
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256 | Level as length (Brief="Tank level",Protected=true); |
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257 | Vtotal as volume (Brief="Tank total volume",Protected=true); |
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258 | Vfilled as volume (Brief="Tank volume content",Protected=true); |
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259 | Across as area (Brief="Tank cross section area", Default=2,Protected=true); |
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260 | E as energy (Brief="Total Energy Holdup on tank",Protected=true); |
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261 | vL as volume_mol (Brief="Liquid Molar Volume",Protected=true); |
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262 | M(NComp) as mol (Brief="Molar Holdup in the tank",Protected=true); |
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263 | |
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264 | INITIAL |
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265 | |
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266 | "Initial Level" |
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267 | Level = Initial_Level; |
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268 | |
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269 | "Initial Liquid Temperature" |
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270 | Outlet.T = Initial_Temperature; |
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271 | |
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272 | "Initial Liquid Composition" |
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273 | Outlet.z(1:NComp-1) = Initial_Composition(1:NComp-1)/sum(Initial_Composition); |
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274 | |
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275 | EQUATIONS |
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276 | |
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277 | "Tank total volume" |
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278 | Vtotal = (0.25*pi*(Diameter)^2)*L; |
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279 | |
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280 | "Mass balance" |
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281 | diff(M) = Inlet.F*Inlet.z - Outlet.F*Outlet.z; |
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282 | |
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283 | "Energy balance" |
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284 | diff(E) = Inlet.F*Inlet.h - Outlet.F*Outlet.h + InletQ; |
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285 | |
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286 | "Energy Holdup" |
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287 | E = sum(M)*Outlet.h; |
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288 | |
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289 | "Mechanical Equilibrium" |
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290 | Inlet.P = Outlet.P; |
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291 | |
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292 | "Liquid Volume" |
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293 | vL = PP.LiquidVolume(Outlet.T, Outlet.P, Outlet.z); |
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294 | |
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295 | "Composition" |
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296 | M = Outlet.z*sum(M); |
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297 | |
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298 | "Cylindrical Area" |
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299 | Across = radius^2 * (asin(1) - asin((radius-Level)/radius) ) + (Level-radius)*sqrt(Level*(2*radius - Level)+eps*'m^2'); |
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300 | |
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301 | "Level of liquid phase" |
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302 | L*Across = sum(M)*vL; |
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303 | |
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304 | "Volume Filled of liquid phase" |
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305 | Vfilled = L*Across; |
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306 | |
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307 | end |
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308 | |
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309 | Model tank_feed |
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310 | ATTRIBUTES |
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311 | Pallete = true; |
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312 | Icon = "icon/Tank"; |
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313 | Brief = "Model of a tank with feed stream."; |
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314 | Info = |
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315 | "== Specify == |
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316 | * the Inlet stream; |
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317 | * the Feed stream; |
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318 | * the outlet flow; |
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319 | * the tank Q. |
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320 | |
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321 | == Initial Conditions == |
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322 | * the tank initial temperature (OutletL.T); |
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323 | * the tank initial level (Level); |
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324 | * (NoComps - 1) OutletL (OR OutletV) compositions. |
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325 | "; |
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326 | |
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327 | PARAMETERS |
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328 | outer PP as Plugin(Brief = "External Physical Properties", Type="PP"); |
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329 | outer NComp as Integer; |
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330 | Across as area (Brief="Tank cross section area", Default=2); |
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331 | |
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332 | VARIABLES |
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333 | in Feed as stream (Brief = "Feed stream", PosX=0.32, PosY=0, Symbol="_{feed}"); |
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334 | in Inlet as stream (Brief = "Inlet stream", PosX=0.3037, PosY=0, Symbol="_{in}"); |
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335 | out Outlet as liquid_stream (Brief = "Outlet liquid stream", PosX=1, PosY=1, Symbol="_{out}"); |
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336 | in InletQ as power (Brief="Rate of heat supply", PosX=1, PosY=0.7859, Symbol="_{in}"); |
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337 | |
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338 | Level as length(Brief="Tank level"); |
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339 | M(NComp) as mol (Brief="Molar Holdup in the tank"); |
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340 | E as energy (Brief="Total Energy Holdup on tank"); |
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341 | vL as volume_mol (Brief="Liquid Molar Volume"); |
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342 | |
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343 | EQUATIONS |
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344 | "Mass balance" |
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345 | diff(M) = Feed.F*Feed.z + Inlet.F*Inlet.z - Outlet.F*Outlet.z; |
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346 | |
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347 | "Energy balance" |
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348 | diff(E) = Feed.F*Feed.h + Inlet.F*Inlet.h - Outlet.F*Outlet.h + InletQ; |
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349 | |
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350 | "Energy Holdup" |
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351 | E = sum(M)*Outlet.h; |
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352 | |
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353 | "Mechanical Equilibrium" |
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354 | Inlet.P = Outlet.P; |
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355 | |
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356 | "Liquid Volume" |
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357 | vL = PP.LiquidVolume(Outlet.T, Outlet.P, Outlet.z); |
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358 | |
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359 | "Composition" |
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360 | M = Outlet.z*sum(M); |
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361 | |
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362 | "Level of liquid phase" |
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363 | Level = sum(M)*vL/Across; |
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364 | end |
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