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: Gerson Balbueno Bicca |
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17 | * $Id: DoublePipe.mso 110 2007-01-12 18:44:02Z bicca $ |
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18 | *------------------------------------------------------------------*# |
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19 | |
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20 | using "HEX_Engine"; |
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21 | #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++# |
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22 | # Basic Models for Double Pipe Heat Exchangers |
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23 | #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++# |
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24 | |
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25 | Model DoublePipe_Basic |
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26 | |
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27 | PARAMETERS |
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28 | ext PP as CalcObject (Brief="External Physical Properties"); |
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29 | ext NComp as Integer (Brief="Number of Components"); |
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30 | M(NComp) as molweight (Brief="Component Mol Weight"); |
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31 | |
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32 | VARIABLES |
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33 | |
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34 | in Inlet as Inlet_Main_Stream; # Hot and Cold Inlets |
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35 | out Outlet as Outlet_Main_Stream; # Hot and Cold Outlets |
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36 | Properties as Main_Properties; # Hot and Cold Properties |
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37 | Details as Details_Main; |
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38 | Inner as Main_DoublePipe; |
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39 | Outer as Main_DoublePipe; |
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40 | Resistances as Main_Resistances; |
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41 | |
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42 | SET |
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43 | |
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44 | M = PP.MolecularWeight(); |
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45 | |
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46 | EQUATIONS |
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47 | |
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48 | "Hot Stream Average Temperature" |
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49 | Properties.Hot.Average.T = 0.5*Inlet.Hot.T + 0.5*Outlet.Hot.T; |
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50 | |
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51 | "Cold Stream Average Temperature" |
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52 | Properties.Cold.Average.T = 0.5*Inlet.Cold.T + 0.5*Outlet.Cold.T; |
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53 | |
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54 | "Hot Stream Average Pressure" |
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55 | Properties.Hot.Average.P = 0.5*Inlet.Hot.P+0.5*Outlet.Hot.P; |
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56 | |
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57 | "Cold Stream Average Pressure" |
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58 | Properties.Cold.Average.P = 0.5*Inlet.Cold.P+0.5*Outlet.Cold.P; |
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59 | |
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60 | "Cold Stream Wall Temperature" |
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61 | Properties.Cold.Wall.Twall = 0.5*Properties.Hot.Average.T + 0.5*Properties.Cold.Average.T; |
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62 | |
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63 | "Hot Stream Wall Temperature" |
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64 | Properties.Hot.Wall.Twall = 0.5*Properties.Hot.Average.T + 0.5*Properties.Cold.Average.T; |
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65 | |
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66 | "Hot Stream Average Molecular Weight" |
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67 | Properties.Hot.Average.Mw = sum(M*Inlet.Hot.z); |
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68 | |
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69 | "Cold Stream Average Molecular Weight" |
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70 | Properties.Cold.Average.Mw = sum(M*Inlet.Cold.z); |
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71 | |
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72 | if Inlet.Cold.v equal 0 |
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73 | then |
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74 | "Heat Capacity Cold Stream" |
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75 | Properties.Cold.Average.Cp = PP.LiquidCp(Properties.Cold.Average.T,Properties.Cold.Average.P,Inlet.Cold.z); |
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76 | Properties.Cold.Inlet.Cp = PP.LiquidCp(Inlet.Cold.T,Inlet.Cold.P,Inlet.Cold.z); |
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77 | Properties.Cold.Outlet.Cp = PP.LiquidCp(Outlet.Cold.T,Outlet.Cold.P,Outlet.Cold.z); |
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78 | |
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79 | "Mass Density Cold Stream" |
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80 | Properties.Cold.Average.rho = PP.LiquidDensity(Properties.Cold.Average.T,Properties.Cold.Average.P,Inlet.Cold.z); |
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81 | Properties.Cold.Inlet.rho = PP.LiquidDensity(Inlet.Cold.T,Inlet.Cold.P,Inlet.Cold.z); |
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82 | Properties.Cold.Outlet.rho = PP.LiquidDensity(Outlet.Cold.T,Outlet.Cold.P,Outlet.Cold.z); |
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83 | |
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84 | "Viscosity Cold Stream" |
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85 | Properties.Cold.Average.Mu = PP.LiquidViscosity(Properties.Cold.Average.T,Properties.Cold.Average.P,Inlet.Cold.z); |
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86 | Properties.Cold.Inlet.Mu = PP.LiquidViscosity(Inlet.Cold.T,Inlet.Cold.P,Inlet.Cold.z); |
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87 | Properties.Cold.Outlet.Mu = PP.LiquidViscosity(Outlet.Cold.T,Outlet.Cold.P,Outlet.Cold.z); |
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88 | |
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89 | "Conductivity Cold Stream" |
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90 | Properties.Cold.Average.K = PP.LiquidThermalConductivity(Properties.Cold.Average.T,Properties.Cold.Average.P,Inlet.Cold.z); |
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91 | Properties.Cold.Inlet.K = PP.LiquidThermalConductivity(Inlet.Cold.T,Inlet.Cold.P,Inlet.Cold.z); |
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92 | Properties.Cold.Outlet.K = PP.LiquidThermalConductivity(Outlet.Cold.T,Outlet.Cold.P,Outlet.Cold.z); |
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93 | |
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94 | "Heat Capacity Cold Stream" |
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95 | Properties.Cold.Wall.Cp = PP.LiquidCp(Properties.Cold.Wall.Twall,Properties.Cold.Average.P,Inlet.Cold.z); |
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96 | |
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97 | "Viscosity Cold Stream" |
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98 | Properties.Cold.Wall.Mu = PP.LiquidViscosity(Properties.Cold.Wall.Twall,Properties.Cold.Average.P,Inlet.Cold.z); |
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99 | |
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100 | "Conductivity Cold Stream" |
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101 | Properties.Cold.Wall.K = PP.LiquidThermalConductivity(Properties.Cold.Wall.Twall,Properties.Cold.Average.P,Inlet.Cold.z); |
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102 | |
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103 | |
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104 | else |
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105 | |
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106 | "Heat Capacity Cold Stream" |
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107 | Properties.Cold.Average.Cp = PP.VapourCp(Properties.Cold.Average.T,Properties.Cold.Average.P,Inlet.Cold.z); |
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108 | Properties.Cold.Inlet.Cp = PP.VapourCp(Inlet.Cold.T,Inlet.Cold.P,Inlet.Cold.z); |
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109 | Properties.Cold.Outlet.Cp = PP.VapourCp(Outlet.Cold.T,Outlet.Cold.P,Outlet.Cold.z); |
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110 | |
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111 | "Mass Density Cold Stream" |
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112 | Properties.Cold.Average.rho = PP.VapourDensity(Properties.Cold.Average.T,Properties.Cold.Average.P,Inlet.Cold.z); |
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113 | Properties.Cold.Inlet.rho = PP.VapourDensity(Inlet.Cold.T,Inlet.Cold.P,Inlet.Cold.z); |
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114 | Properties.Cold.Outlet.rho = PP.VapourDensity(Outlet.Cold.T,Outlet.Cold.P,Outlet.Cold.z); |
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115 | |
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116 | "Viscosity Cold Stream" |
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117 | Properties.Cold.Average.Mu = PP.VapourViscosity(Properties.Cold.Average.T,Properties.Cold.Average.P,Inlet.Cold.z); |
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118 | Properties.Cold.Inlet.Mu = PP.VapourViscosity(Inlet.Cold.T,Inlet.Cold.P,Inlet.Cold.z); |
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119 | Properties.Cold.Outlet.Mu = PP.VapourViscosity(Outlet.Cold.T,Outlet.Cold.P,Outlet.Cold.z); |
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120 | |
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121 | "Conductivity Cold Stream" |
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122 | Properties.Cold.Average.K = PP.VapourThermalConductivity(Properties.Cold.Average.T,Properties.Cold.Average.P,Inlet.Cold.z); |
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123 | Properties.Cold.Inlet.K = PP.VapourThermalConductivity(Inlet.Cold.T,Inlet.Cold.P,Inlet.Cold.z); |
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124 | Properties.Cold.Outlet.K = PP.VapourThermalConductivity(Outlet.Cold.T,Outlet.Cold.P,Outlet.Cold.z); |
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125 | |
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126 | "Heat Capacity Cold Stream" |
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127 | Properties.Cold.Wall.Cp = PP.VapourCp(Properties.Cold.Wall.Twall,Properties.Cold.Average.P,Inlet.Cold.z); |
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128 | |
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129 | |
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130 | "Viscosity Cold Stream" |
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131 | Properties.Cold.Wall.Mu = PP.VapourViscosity(Properties.Cold.Wall.Twall,Properties.Cold.Average.P,Inlet.Cold.z); |
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132 | |
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133 | "Conductivity Cold Stream" |
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134 | Properties.Cold.Wall.K = PP.VapourThermalConductivity(Properties.Cold.Wall.Twall,Properties.Cold.Average.P,Inlet.Cold.z); |
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135 | |
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136 | |
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137 | |
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138 | end |
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139 | |
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140 | if Inlet.Hot.v equal 0 |
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141 | |
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142 | then |
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143 | |
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144 | "Heat Capacity Hot Stream" |
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145 | Properties.Hot.Average.Cp = PP.LiquidCp(Properties.Hot.Average.T,Properties.Hot.Average.P,Inlet.Hot.z); |
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146 | Properties.Hot.Inlet.Cp = PP.LiquidCp(Inlet.Hot.T,Inlet.Hot.P,Inlet.Hot.z); |
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147 | Properties.Hot.Outlet.Cp = PP.LiquidCp(Outlet.Hot.T,Outlet.Hot.P,Outlet.Hot.z); |
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148 | |
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149 | "Mass Density Hot Stream" |
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150 | Properties.Hot.Average.rho = PP.LiquidDensity(Properties.Hot.Average.T,Properties.Hot.Average.P,Inlet.Hot.z); |
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151 | Properties.Hot.Inlet.rho = PP.LiquidDensity(Inlet.Hot.T,Inlet.Hot.P,Inlet.Hot.z); |
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152 | Properties.Hot.Outlet.rho = PP.LiquidDensity(Outlet.Hot.T,Outlet.Hot.P,Outlet.Hot.z); |
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153 | |
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154 | "Viscosity Hot Stream" |
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155 | Properties.Hot.Average.Mu = PP.LiquidViscosity(Properties.Hot.Average.T,Properties.Hot.Average.P,Inlet.Hot.z); |
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156 | Properties.Hot.Inlet.Mu = PP.LiquidViscosity(Inlet.Hot.T,Inlet.Hot.P,Inlet.Hot.z); |
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157 | Properties.Hot.Outlet.Mu = PP.LiquidViscosity(Outlet.Hot.T,Outlet.Hot.P,Outlet.Hot.z); |
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158 | |
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159 | "Conductivity Hot Stream" |
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160 | Properties.Hot.Average.K = PP.LiquidThermalConductivity(Properties.Hot.Average.T,Properties.Hot.Average.P,Inlet.Hot.z); |
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161 | Properties.Hot.Inlet.K = PP.LiquidThermalConductivity(Inlet.Hot.T,Inlet.Hot.P,Inlet.Hot.z); |
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162 | Properties.Hot.Outlet.K = PP.LiquidThermalConductivity(Outlet.Hot.T,Outlet.Hot.P,Outlet.Hot.z); |
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163 | |
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164 | "Heat Capacity Hot Stream" |
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165 | Properties.Hot.Wall.Cp = PP.LiquidCp(Properties.Hot.Wall.Twall,Properties.Hot.Average.P,Inlet.Hot.z); |
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166 | |
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167 | "Viscosity Hot Stream" |
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168 | Properties.Hot.Wall.Mu = PP.LiquidViscosity(Properties.Hot.Wall.Twall,Properties.Hot.Average.P,Inlet.Hot.z); |
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169 | |
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170 | "Conductivity Hot Stream" |
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171 | Properties.Hot.Wall.K = PP.LiquidThermalConductivity(Properties.Hot.Wall.Twall,Properties.Hot.Average.P,Inlet.Hot.z); |
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172 | |
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173 | |
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174 | else |
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175 | |
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176 | "Heat Capacity Hot Stream" |
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177 | Properties.Hot.Average.Cp = PP.VapourCp(Properties.Hot.Average.T,Properties.Hot.Average.P,Inlet.Hot.z); |
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178 | Properties.Hot.Inlet.Cp = PP.VapourCp(Inlet.Hot.T,Inlet.Hot.P,Inlet.Hot.z); |
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179 | Properties.Hot.Outlet.Cp = PP.VapourCp(Outlet.Hot.T,Outlet.Hot.P,Outlet.Hot.z); |
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180 | |
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181 | "Mass Density Hot Stream" |
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182 | Properties.Hot.Average.rho = PP.VapourDensity(Properties.Hot.Average.T,Properties.Hot.Average.P,Inlet.Hot.z); |
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183 | Properties.Hot.Inlet.rho = PP.VapourDensity(Inlet.Hot.T,Inlet.Hot.P,Inlet.Hot.z); |
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184 | Properties.Hot.Outlet.rho = PP.VapourDensity(Outlet.Hot.T,Outlet.Hot.P,Outlet.Hot.z); |
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185 | |
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186 | "Viscosity Hot Stream" |
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187 | Properties.Hot.Average.Mu = PP.VapourViscosity(Properties.Hot.Average.T,Properties.Hot.Average.P,Inlet.Hot.z); |
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188 | Properties.Hot.Inlet.Mu = PP.VapourViscosity(Inlet.Hot.T,Inlet.Hot.P,Inlet.Hot.z); |
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189 | Properties.Hot.Outlet.Mu = PP.VapourViscosity(Outlet.Hot.T,Outlet.Hot.P,Outlet.Hot.z); |
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190 | |
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191 | "Conductivity Hot Stream" |
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192 | Properties.Hot.Average.K = PP.VapourThermalConductivity(Properties.Hot.Average.T,Properties.Hot.Average.P,Inlet.Hot.z); |
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193 | Properties.Hot.Inlet.K = PP.VapourThermalConductivity(Inlet.Hot.T,Inlet.Hot.P,Inlet.Hot.z); |
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194 | Properties.Hot.Outlet.K = PP.VapourThermalConductivity(Outlet.Hot.T,Outlet.Hot.P,Outlet.Hot.z); |
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195 | |
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196 | "Heat Capacity Hot Stream" |
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197 | Properties.Hot.Wall.Cp = PP.VapourCp(Properties.Hot.Wall.Twall,Properties.Hot.Average.P,Inlet.Hot.z); |
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198 | |
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199 | "Viscosity Hot Stream" |
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200 | Properties.Hot.Wall.Mu = PP.VapourViscosity(Properties.Hot.Wall.Twall,Properties.Hot.Average.P,Inlet.Hot.z); |
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201 | |
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202 | "Conductivity Hot Stream" |
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203 | Properties.Hot.Wall.K = PP.VapourThermalConductivity(Properties.Hot.Wall.Twall,Properties.Hot.Average.P,Inlet.Hot.z); |
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204 | |
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205 | |
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206 | end |
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207 | |
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208 | #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++# |
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209 | # Thermal Details |
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210 | #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++# |
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211 | "Hot Stream Heat Capacity" |
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212 | Details.Ch =Inlet.Hot.F*Properties.Hot.Average.Cp; |
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213 | |
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214 | "Cold Stream Heat Capacity" |
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215 | Details.Cc =Inlet.Cold.F*Properties.Cold.Average.Cp; |
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216 | |
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217 | "Minimum Heat Capacity" |
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218 | Details.Cmin = min([Details.Ch,Details.Cc]); |
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219 | |
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220 | "Maximum Heat Capacity" |
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221 | Details.Cmax = max([Details.Ch,Details.Cc]); |
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222 | |
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223 | "Heat Capacity Ratio" |
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224 | Details.Cr*Details.Cmax = Details.Cmin; |
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225 | |
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226 | #-------------------------------------------------------------------- |
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227 | # Energy Balance |
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228 | #-------------------------------------------------------------------- |
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229 | |
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230 | "Energy Balance Hot Stream" |
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231 | Details.Q = Inlet.Hot.F*(Inlet.Hot.h-Outlet.Hot.h); |
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232 | |
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233 | "Energy Balance Cold Stream" |
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234 | Details.Q = Inlet.Cold.F*(Outlet.Cold.h - Inlet.Cold.h); |
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235 | |
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236 | #-------------------------------------------------------------------- |
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237 | # Material Balance |
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238 | #-------------------------------------------------------------------- |
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239 | |
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240 | "Flow Mass Inlet Cold Stream" |
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241 | Properties.Cold.Inlet.Fw = sum(M*Inlet.Cold.z)*Inlet.Cold.F; |
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242 | |
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243 | "Flow Mass Outlet Cold Stream" |
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244 | Properties.Cold.Outlet.Fw = sum(M*Outlet.Cold.z)*Outlet.Cold.F; |
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245 | |
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246 | "Flow Mass Inlet Hot Stream" |
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247 | Properties.Hot.Inlet.Fw = sum(M*Inlet.Hot.z)*Inlet.Hot.F; |
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248 | |
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249 | "Flow Mass Outlet Hot Stream" |
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250 | Properties.Hot.Outlet.Fw = sum(M*Outlet.Hot.z)*Outlet.Hot.F; |
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251 | |
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252 | "Molar Balance Hot Stream" |
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253 | Inlet.Hot.F = Outlet.Hot.F; |
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254 | |
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255 | "Molar Balance Cold Stream" |
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256 | Inlet.Cold.F = Outlet.Cold.F; |
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257 | |
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258 | #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++# |
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259 | # Constraints |
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260 | #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++# |
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261 | "Hot Stream Molar Fraction Constraint" |
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262 | Outlet.Hot.z=Inlet.Hot.z; |
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263 | |
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264 | "Cold Stream Molar Fraction Constraint" |
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265 | Outlet.Cold.z=Inlet.Cold.z; |
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266 | |
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267 | "No Phase Change In Cold Stream" |
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268 | Inlet.Cold.v=Outlet.Cold.v; |
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269 | |
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270 | "No Phase Change In Hot Stream" |
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271 | Inlet.Hot.v=Outlet.Hot.v; |
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272 | |
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273 | if Inner.PressureDrop.Re < 2300 |
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274 | |
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275 | then |
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276 | "Inner Side Friction Factor - laminar Flow" |
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277 | Inner.PressureDrop.fi*Inner.PressureDrop.Re = 16; |
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278 | |
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279 | else |
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280 | "Inner Side Friction Factor - Turbulent Flow" |
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281 | (Inner.PressureDrop.fi-0.0035)*(Inner.PressureDrop.Re^0.42) = 0.264; |
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282 | |
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283 | end |
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284 | |
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285 | |
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286 | if Outer.PressureDrop.Re < 2300 |
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287 | |
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288 | then |
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289 | "Inner Side Friction Factor - laminar Flow" |
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290 | Outer.PressureDrop.fi*Outer.PressureDrop.Re = 16; |
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291 | |
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292 | else |
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293 | "Inner Side Friction Factor - Turbulent Flow" |
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294 | (Outer.PressureDrop.fi - 0.0035)*(Outer.PressureDrop.Re^0.42) = 0.264; |
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295 | |
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296 | end |
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297 | |
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298 | end |
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299 | |
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300 | Model DoublePipe as DoublePipe_Basic |
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301 | |
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302 | PARAMETERS |
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303 | |
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304 | HE as CalcObject (Brief="STHE Calculations",File="heatex"); |
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305 | Pi as constant (Brief="Pi Number",Default=3.14159265); |
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306 | Hside as Integer (Brief="Fluid Alocation Flag-Default:Outer",Lower=0,Upper=1); |
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307 | Side as Integer (Brief="Flow Direction",Lower=0,Upper=1); |
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308 | DoInner as length (Brief="Outside Diameter of Inner Pipe",Lower=1e-6); |
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309 | DiInner as length (Brief="Inside Diameter of Inner Pipe",Lower=1e-10); |
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310 | DiOuter as length (Brief="Inside Diameter of Outer pipe",Lower=1e-10); |
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311 | Lpipe as length (Brief="Effective Tube Length",Lower=0.1); |
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312 | Kwall as conductivity (Brief="Tube Wall Material Thermal Conductivity",Default=1.0); |
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313 | |
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314 | SET |
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315 | Pi = 3.14159265; |
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316 | Hside = HE.FluidAlocation(); |
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317 | Side = HE.FlowDir(); |
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318 | |
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319 | #"Inner Pipe Cross Sectional Area for Flow" |
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320 | Inner.HeatTransfer.As=Pi*DiInner*DiInner/4; |
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321 | |
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322 | #"Outer Pipe Cross Sectional Area for Flow" |
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323 | Outer.HeatTransfer.As=Pi*(DiOuter*DiOuter-DoInner*DoInner)/4; |
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324 | |
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325 | #"Inner Pipe Hydraulic Diameter for Heat Transfer" |
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326 | Inner.HeatTransfer.Dh=DiInner; |
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327 | |
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328 | #"Outer Pipe Hydraulic Diameter for Heat Transfer" |
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329 | Outer.HeatTransfer.Dh=(DiOuter*DiOuter-DoInner*DoInner)/DoInner; |
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330 | |
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331 | #"Inner Pipe Hydraulic Diameter for Pressure Drop" |
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332 | Inner.PressureDrop.Dh=DiInner; |
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333 | |
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334 | #"Outer Pipe Hydraulic Diameter for Pressure Drop" |
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335 | Outer.PressureDrop.Dh=DiOuter-DoInner; |
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336 | |
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337 | EQUATIONS |
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338 | |
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339 | "Exchange Surface Area" |
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340 | Details.A=Pi*DoInner*Lpipe; |
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341 | |
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342 | if Hside equal 1 |
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343 | |
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344 | then |
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345 | |
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346 | "Pressure Drop Hot Stream" |
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347 | Outlet.Hot.P = Inlet.Hot.P - Outer.PressureDrop.Pdrop; |
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348 | |
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349 | "Pressure Drop Cold Stream" |
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350 | Outlet.Cold.P = Inlet.Cold.P - Inner.PressureDrop.Pdrop; |
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351 | |
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352 | "Outer Pipe Film Coefficient" |
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353 | Outer.HeatTransfer.hcoeff= HE.PipeFilmCoeff(Outer.HeatTransfer.Re,Outer.HeatTransfer.PR,Properties.Hot.Average.K,Outer.HeatTransfer.Dh,Lpipe)*Outer.HeatTransfer.Phi; |
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354 | |
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355 | "Inner Pipe Film Coefficient" |
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356 | Inner.HeatTransfer.hcoeff= HE.PipeFilmCoeff(Inner.HeatTransfer.Re,Inner.HeatTransfer.PR,Properties.Cold.Average.K,DiInner,Lpipe)*Inner.HeatTransfer.Phi; |
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357 | |
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358 | "Outer Pipe Pressure Drop" |
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359 | Outer.PressureDrop.Pdrop = (2*Outer.PressureDrop.fi*Lpipe*Properties.Hot.Average.rho*Outer.HeatTransfer.Vmean^2)/(Outer.PressureDrop.Dh*Outer.HeatTransfer.Phi); |
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360 | |
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361 | "Inner Pipe Pressure Drop" |
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362 | Inner.PressureDrop.Pdrop = (2*Inner.PressureDrop.fi*Lpipe*Properties.Cold.Average.rho*Inner.HeatTransfer.Vmean^2)/(DiInner*Inner.HeatTransfer.Phi); |
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363 | |
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364 | "Outer Pipe Phi correction" |
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365 | Outer.HeatTransfer.Phi = HE.PhiCorrection(Properties.Hot.Average.Mu,Properties.Hot.Wall.Mu); |
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366 | |
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367 | "Inner Pipe Phi correction" |
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368 | Inner.HeatTransfer.Phi = HE.PhiCorrection(Properties.Cold.Average.Mu,Properties.Cold.Wall.Mu); |
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369 | |
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370 | "Outer Pipe Prandtl Number" |
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371 | Outer.HeatTransfer.PR = ((Properties.Hot.Average.Cp/Properties.Hot.Average.Mw)*Properties.Hot.Average.Mu)/Properties.Hot.Average.K; |
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372 | |
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373 | "Inner Pipe Prandtl Number" |
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374 | Inner.HeatTransfer.PR = ((Properties.Cold.Average.Cp/Properties.Cold.Average.Mw)*Properties.Cold.Average.Mu)/Properties.Cold.Average.K; |
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375 | |
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376 | "Outer Pipe Reynolds Number for Heat Transfer" |
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377 | Outer.HeatTransfer.Re = (Properties.Hot.Average.rho*Outer.HeatTransfer.Vmean*Outer.HeatTransfer.Dh)/Properties.Hot.Average.Mu; |
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378 | |
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379 | "Outer Pipe Reynolds Number for Pressure Drop" |
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380 | Outer.PressureDrop.Re = (Properties.Hot.Average.rho*Outer.HeatTransfer.Vmean*Outer.PressureDrop.Dh)/Properties.Hot.Average.Mu; |
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381 | |
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382 | "Inner Pipe Reynolds Number for Heat Transfer" |
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383 | Inner.HeatTransfer.Re = (Properties.Cold.Average.rho*Inner.HeatTransfer.Vmean*Inner.HeatTransfer.Dh)/Properties.Cold.Average.Mu; |
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384 | |
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385 | "Inner Pipe Reynolds Number for Pressure Drop" |
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386 | Inner.PressureDrop.Re = Inner.HeatTransfer.Re; |
---|
387 | |
---|
388 | "Outer Pipe Velocity" |
---|
389 | Outer.HeatTransfer.Vmean*(Outer.HeatTransfer.As*Properties.Hot.Average.rho) = Properties.Hot.Inlet.Fw; |
---|
390 | |
---|
391 | "Inner Pipe Velocity" |
---|
392 | Inner.HeatTransfer.Vmean*(Inner.HeatTransfer.As*Properties.Cold.Average.rho) = Properties.Cold.Inlet.Fw; |
---|
393 | |
---|
394 | else |
---|
395 | |
---|
396 | "Pressure Drop Hot Stream" |
---|
397 | Outlet.Hot.P = Inlet.Hot.P - Inner.PressureDrop.Pdrop; |
---|
398 | |
---|
399 | "Pressure Drop Cold Stream" |
---|
400 | Outlet.Cold.P = Inlet.Cold.P - Outer.PressureDrop.Pdrop; |
---|
401 | |
---|
402 | "Inner Pipe Film Coefficient" |
---|
403 | Inner.HeatTransfer.hcoeff= HE.PipeFilmCoeff(Inner.HeatTransfer.Re,Inner.HeatTransfer.PR,Properties.Hot.Average.K,DiInner,Lpipe)*Inner.HeatTransfer.Phi; |
---|
404 | |
---|
405 | "Outer Pipe Film Coefficient" |
---|
406 | Outer.HeatTransfer.hcoeff= HE.PipeFilmCoeff(Outer.HeatTransfer.Re,Outer.HeatTransfer.PR,Properties.Cold.Average.K,Outer.HeatTransfer.Dh,Lpipe)*Outer.HeatTransfer.Phi; |
---|
407 | |
---|
408 | "Outer Pipe Pressure Drop" |
---|
409 | Outer.PressureDrop.Pdrop = (2*Outer.PressureDrop.fi*Lpipe*Properties.Cold.Average.rho*Outer.HeatTransfer.Vmean^2)/(Outer.PressureDrop.Dh*Outer.HeatTransfer.Phi); |
---|
410 | |
---|
411 | "Inner Pipe Pressure Drop" |
---|
412 | Inner.PressureDrop.Pdrop = (2*Inner.PressureDrop.fi*Lpipe*Properties.Hot.Average.rho*Inner.HeatTransfer.Vmean^2)/(DiInner*Inner.HeatTransfer.Phi); |
---|
413 | |
---|
414 | "Outer Pipe Phi correction" |
---|
415 | Outer.HeatTransfer.Phi = HE.PhiCorrection(Properties.Cold.Average.Mu,Properties.Cold.Wall.Mu); |
---|
416 | |
---|
417 | "Inner Pipe Phi correction" |
---|
418 | Inner.HeatTransfer.Phi = HE.PhiCorrection(Properties.Hot.Average.Mu,Properties.Hot.Wall.Mu); |
---|
419 | |
---|
420 | "Outer Pipe Prandtl Number" |
---|
421 | Outer.HeatTransfer.PR = ((Properties.Cold.Average.Cp/Properties.Cold.Average.Mw)*Properties.Cold.Average.Mu)/Properties.Cold.Average.K; |
---|
422 | |
---|
423 | "Inner Pipe Prandtl Number" |
---|
424 | Inner.HeatTransfer.PR = ((Properties.Hot.Average.Cp/Properties.Hot.Average.Mw)*Properties.Hot.Average.Mu)/Properties.Hot.Average.K; |
---|
425 | |
---|
426 | "Outer Pipe Reynolds Number for Heat Transfer" |
---|
427 | Outer.HeatTransfer.Re = (Properties.Cold.Average.rho*Outer.HeatTransfer.Vmean*Outer.HeatTransfer.Dh)/Properties.Cold.Average.Mu; |
---|
428 | |
---|
429 | "Outer Pipe Reynolds Number for Pressure Drop" |
---|
430 | Outer.PressureDrop.Re = (Properties.Cold.Average.rho*Outer.HeatTransfer.Vmean*Outer.PressureDrop.Dh)/Properties.Cold.Average.Mu; |
---|
431 | |
---|
432 | "Inner Pipe Reynolds Number for Pressure Drop" |
---|
433 | Inner.PressureDrop.Re = Inner.HeatTransfer.Re; |
---|
434 | |
---|
435 | "Inner Pipe Reynolds Number for Heat Transfer" |
---|
436 | Inner.HeatTransfer.Re = (Properties.Hot.Average.rho*Inner.HeatTransfer.Vmean*Inner.HeatTransfer.Dh)/Properties.Hot.Average.Mu; |
---|
437 | |
---|
438 | "Outer Pipe Velocity" |
---|
439 | Outer.HeatTransfer.Vmean*(Outer.HeatTransfer.As*Properties.Cold.Average.rho)= Properties.Cold.Inlet.Fw; |
---|
440 | |
---|
441 | "Inner Pipe Velocity" |
---|
442 | Inner.HeatTransfer.Vmean*(Inner.HeatTransfer.As*Properties.Hot.Average.rho) = Properties.Hot.Inlet.Fw; |
---|
443 | |
---|
444 | end |
---|
445 | |
---|
446 | "Inner Pipe Resistance" |
---|
447 | Resistances.Rtube*(Inner.HeatTransfer.hcoeff*DiInner) = DoInner; |
---|
448 | |
---|
449 | "Wall Resistance" |
---|
450 | Resistances.Rwall*(2*Kwall) = DoInner*ln(DoInner/DiInner); |
---|
451 | |
---|
452 | "Outer Pipe Resistance" |
---|
453 | Resistances.Rshell*(Outer.HeatTransfer.hcoeff)=1; |
---|
454 | |
---|
455 | "Overall Heat Transfer Coefficient Clean" |
---|
456 | Details.Uc*(Resistances.Rtube+Resistances.Rwall+Resistances.Rshell)=1; |
---|
457 | |
---|
458 | "Overall Heat Transfer Coefficient Dirty" |
---|
459 | Details.Ud*(Resistances.Rfi*(DoInner/DiInner) + Resistances.Rfo + Resistances.Rtube + Resistances.Rwall + Resistances.Rshell)=1; |
---|
460 | |
---|
461 | end |
---|
462 | |
---|
463 | Model DoublePipe_Basic_NTU as DoublePipe |
---|
464 | #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++# |
---|
465 | # Basic Model Double Pipe Heat Exchanger - NTU Method |
---|
466 | #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++# |
---|
467 | VARIABLES |
---|
468 | |
---|
469 | Eft as positive (Brief="Effectiveness",Default=0.5,Lower=1e-12); |
---|
470 | |
---|
471 | EQUATIONS |
---|
472 | |
---|
473 | "Energy Balance" |
---|
474 | Details.Q = Eft*Details.Cmin*(Inlet.Hot.T-Inlet.Cold.T); |
---|
475 | |
---|
476 | |
---|
477 | end |
---|
478 | |
---|
479 | Model DoublePipe_Basic_LMTD as DoublePipe |
---|
480 | #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++# |
---|
481 | # Basic Model for Double Pipe Heat Exchanger- LMTD Method |
---|
482 | #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++# |
---|
483 | VARIABLES |
---|
484 | |
---|
485 | DT0 as temp_delta (Brief="Temperature Difference at Inlet",Lower=1); |
---|
486 | DTL as temp_delta (Brief="Temperature Difference at Outlet",Lower=1); |
---|
487 | LMTD as temp_delta (Brief="Logarithmic Mean Temperature Difference",Lower=1); |
---|
488 | |
---|
489 | EQUATIONS |
---|
490 | #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++# |
---|
491 | # Log Mean Temperature Difference |
---|
492 | #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++# |
---|
493 | |
---|
494 | if abs(DT0 - DTL) > 0.05*max(abs([DT0,DTL])) |
---|
495 | |
---|
496 | then |
---|
497 | "Log Mean Temperature Difference" |
---|
498 | LMTD*ln(DT0/DTL) = (DT0-DTL); |
---|
499 | |
---|
500 | else |
---|
501 | |
---|
502 | if DT0*DTL equal 0 |
---|
503 | |
---|
504 | then |
---|
505 | "Log Mean Temperature Difference" |
---|
506 | LMTD = 0.5*(DT0+DTL); |
---|
507 | |
---|
508 | else |
---|
509 | "Log Mean Temperature Difference" |
---|
510 | LMTD = 0.5*(DT0+DTL)*(1-(DT0-DTL)^2/(DT0*DTL)*(1+(DT0-DTL)^2/(DT0*DTL)/2)/12); |
---|
511 | |
---|
512 | end |
---|
513 | |
---|
514 | end |
---|
515 | |
---|
516 | "Exchange Surface Area" |
---|
517 | Details.Q = Details.Ud*Pi*DoInner*Lpipe*LMTD; |
---|
518 | |
---|
519 | end |
---|
520 | |
---|
521 | Model DoublePipe_LMTD as DoublePipe_Basic_LMTD |
---|
522 | |
---|
523 | EQUATIONS |
---|
524 | |
---|
525 | if Side equal 0 |
---|
526 | |
---|
527 | then |
---|
528 | "Temperature Difference at Inlet - Cocurrent Flow" |
---|
529 | DT0 = Inlet.Hot.T - Inlet.Cold.T; |
---|
530 | |
---|
531 | "Temperature Difference at Outlet - Cocurrent Flow" |
---|
532 | DTL = Outlet.Hot.T - Outlet.Cold.T; |
---|
533 | |
---|
534 | else |
---|
535 | "Temperature Difference at Inlet - Counter Flow" |
---|
536 | DT0 = Inlet.Hot.T - Outlet.Cold.T; |
---|
537 | |
---|
538 | "Temperature Difference at Outlet - Counter Flow" |
---|
539 | DTL = Outlet.Hot.T - Inlet.Cold.T; |
---|
540 | end |
---|
541 | |
---|
542 | end |
---|
543 | |
---|
544 | Model DoublePipe_NTU as DoublePipe_Basic_NTU |
---|
545 | |
---|
546 | EQUATIONS |
---|
547 | |
---|
548 | if Details.Cr equal 0 |
---|
549 | |
---|
550 | then |
---|
551 | "Effectiveness" |
---|
552 | Eft = 1-exp(-Details.NTU); |
---|
553 | |
---|
554 | else |
---|
555 | |
---|
556 | if Side equal 0 |
---|
557 | |
---|
558 | then |
---|
559 | "Effectiveness in Cocurrent Flow" |
---|
560 | Eft*(1+Details.Cr) = (1-exp(-Details.NTU*(1+Details.Cr))); |
---|
561 | |
---|
562 | else |
---|
563 | |
---|
564 | if Details.Cr equal 1 |
---|
565 | |
---|
566 | then |
---|
567 | "Effectiveness in Counter Flow" |
---|
568 | Eft*(1+Details.NTU) = Details.NTU; |
---|
569 | |
---|
570 | else |
---|
571 | "Effectiveness in Counter Flow" |
---|
572 | Eft*(1-Details.Cr*exp(-Details.NTU*(1-Details.Cr))) = (1-exp(-Details.NTU*(1-Details.Cr))); |
---|
573 | |
---|
574 | end |
---|
575 | |
---|
576 | end |
---|
577 | |
---|
578 | |
---|
579 | end |
---|
580 | |
---|
581 | end |
---|
582 | |
---|
583 | Model Multitubular_Basic |
---|
584 | |
---|
585 | PARAMETERS |
---|
586 | |
---|
587 | Npipe as Integer (Brief="N Pipe in Series",Default=2); |
---|
588 | ext PP as CalcObject (Brief="External Physical Properties"); |
---|
589 | HE as CalcObject (Brief="STHE Calculations",File="heatex"); |
---|
590 | Pi as constant (Brief="Pi Number",Default=3.14159265); |
---|
591 | Hside as Integer (Brief="Fluid Alocation Flag-Default:Outer",Lower=0,Upper=1); |
---|
592 | DoInner as length (Brief="Outside Diameter of Inner Pipe",Lower=1e-6); |
---|
593 | DiInner as length (Brief="Inside Diameter of Inner Pipe",Lower=1e-10); |
---|
594 | DiOuter as length (Brief="Inside Diameter of Outer pipe",Lower=1e-10); |
---|
595 | Lpipe as length (Brief="Effective Tube Length",Lower=0.1); |
---|
596 | Kwall as conductivity (Brief="Tube Wall Material Thermal Conductivity",Default=1.0); |
---|
597 | |
---|
598 | VARIABLES |
---|
599 | |
---|
600 | Unity(Npipe) as DoublePipe_Basic; |
---|
601 | |
---|
602 | SET |
---|
603 | Pi = 3.14159265; |
---|
604 | Hside = HE.FluidAlocation(); |
---|
605 | |
---|
606 | #"Inner Pipe Cross Sectional Area for Flow" |
---|
607 | Unity.Inner.HeatTransfer.As=Pi*DiInner*DiInner/4; |
---|
608 | |
---|
609 | #"Outer Pipe Cross Sectional Area for Flow" |
---|
610 | Unity.Outer.HeatTransfer.As=Pi*(DiOuter*DiOuter-DoInner*DoInner)/4; |
---|
611 | |
---|
612 | #"Inner Pipe Hydraulic Diameter for Heat Transfer" |
---|
613 | Unity.Inner.HeatTransfer.Dh=DiInner; |
---|
614 | |
---|
615 | #"Outer Pipe Hydraulic Diameter for Heat Transfer" |
---|
616 | Unity.Outer.HeatTransfer.Dh=(DiOuter*DiOuter-DoInner*DoInner)/DoInner; |
---|
617 | |
---|
618 | #"Inner Pipe Hydraulic Diameter for Pressure Drop" |
---|
619 | Unity.Inner.PressureDrop.Dh=DiInner; |
---|
620 | |
---|
621 | #"Outer Pipe Hydraulic Diameter for Pressure Drop" |
---|
622 | Unity.Outer.PressureDrop.Dh=DiOuter-DoInner; |
---|
623 | |
---|
624 | EQUATIONS |
---|
625 | |
---|
626 | for i in [1:Npipe] |
---|
627 | |
---|
628 | "Overall Heat Transfer Coefficient Clean" |
---|
629 | Unity(i).Details.Uc*(Unity(i).Resistances.Rtube+Unity(i).Resistances.Rwall+Unity(i).Resistances.Rshell)=1; |
---|
630 | |
---|
631 | "Overall Heat Transfer Coefficient Dirty" |
---|
632 | Unity(i).Details.Ud*(Unity(i).Resistances.Rfi*(DoInner/DiInner) + Unity(i).Resistances.Rfo + Unity(i).Resistances.Rtube + Unity(i).Resistances.Rwall + Unity(i).Resistances.Rshell)=1; |
---|
633 | |
---|
634 | "Exchange Surface Area" |
---|
635 | Unity(i).Details.A=Pi*DoInner*Lpipe; |
---|
636 | |
---|
637 | if Hside equal 1 |
---|
638 | |
---|
639 | then |
---|
640 | |
---|
641 | "Pressure Drop Hot Stream" |
---|
642 | Unity(i).Outlet.Hot.P = Unity(i).Inlet.Hot.P - Unity(i).Outer.PressureDrop.Pdrop; |
---|
643 | |
---|
644 | "Pressure Drop Cold Stream" |
---|
645 | Unity(i).Outlet.Cold.P = Unity(i).Inlet.Cold.P - Unity(i).Inner.PressureDrop.Pdrop; |
---|
646 | |
---|
647 | "Outer Pipe Film Coefficient" |
---|
648 | Unity(i).Outer.HeatTransfer.hcoeff= HE.PipeFilmCoeff(Unity(i).Outer.HeatTransfer.Re,Unity(i).Outer.HeatTransfer.PR,Unity(i).Properties.Hot.Average.K,Unity(i).Outer.HeatTransfer.Dh,Lpipe)*Unity(i).Outer.HeatTransfer.Phi; |
---|
649 | |
---|
650 | "Inner Pipe Film Coefficient" |
---|
651 | Unity(i).Inner.HeatTransfer.hcoeff= HE.PipeFilmCoeff(Unity(i).Inner.HeatTransfer.Re,Unity(i).Inner.HeatTransfer.PR,Unity(i).Properties.Cold.Average.K,DiInner,Lpipe)*Unity(i).Inner.HeatTransfer.Phi; |
---|
652 | |
---|
653 | "Outer Pipe Pressure Drop" |
---|
654 | Unity(i).Outer.PressureDrop.Pdrop = (2*Unity(i).Outer.PressureDrop.fi*Lpipe*Unity(i).Properties.Hot.Average.rho*Unity(i).Outer.HeatTransfer.Vmean^2)/(Unity(i).Outer.PressureDrop.Dh*Unity(i).Outer.HeatTransfer.Phi); |
---|
655 | |
---|
656 | "Inner Pipe Pressure Drop" |
---|
657 | Unity(i).Inner.PressureDrop.Pdrop = (2*Unity(i).Inner.PressureDrop.fi*Lpipe*Unity(i).Properties.Cold.Average.rho*Unity(i).Inner.HeatTransfer.Vmean^2)/(DiInner*Unity(i).Inner.HeatTransfer.Phi); |
---|
658 | |
---|
659 | "Outer Pipe Phi correction" |
---|
660 | Unity(i).Outer.HeatTransfer.Phi = HE.PhiCorrection(Unity(i).Properties.Hot.Average.Mu,Unity(i).Properties.Hot.Wall.Mu); |
---|
661 | |
---|
662 | "Inner Pipe Phi correction" |
---|
663 | Unity(i).Inner.HeatTransfer.Phi = HE.PhiCorrection(Unity(i).Properties.Cold.Average.Mu,Unity(i).Properties.Cold.Wall.Mu); |
---|
664 | |
---|
665 | "Outer Pipe Prandtl Number" |
---|
666 | Unity(i).Outer.HeatTransfer.PR = ((Unity(i).Properties.Hot.Average.Cp/Unity(i).Properties.Hot.Average.Mw)*Unity(i).Properties.Hot.Average.Mu)/Unity(i).Properties.Hot.Average.K; |
---|
667 | |
---|
668 | "Inner Pipe Prandtl Number" |
---|
669 | Unity(i).Inner.HeatTransfer.PR = ((Unity(i).Properties.Cold.Average.Cp/Unity(i).Properties.Cold.Average.Mw)*Unity(i).Properties.Cold.Average.Mu)/Unity(i).Properties.Cold.Average.K; |
---|
670 | |
---|
671 | "Outer Pipe Reynolds Number for Heat Transfer" |
---|
672 | Unity(i).Outer.HeatTransfer.Re = (Unity(i).Properties.Hot.Average.rho*Unity(i).Outer.HeatTransfer.Vmean*Unity(i).Outer.HeatTransfer.Dh)/Unity(i).Properties.Hot.Average.Mu; |
---|
673 | |
---|
674 | "Outer Pipe Reynolds Number for Pressure Drop" |
---|
675 | Unity(i).Outer.PressureDrop.Re = (Unity(i).Properties.Hot.Average.rho*Unity(i).Outer.HeatTransfer.Vmean*Unity(i).Outer.PressureDrop.Dh)/Unity(i).Properties.Hot.Average.Mu; |
---|
676 | |
---|
677 | "Inner Pipe Reynolds Number for Heat Transfer" |
---|
678 | Unity(i).Inner.HeatTransfer.Re = (Unity(i).Properties.Cold.Average.rho*Unity(i).Inner.HeatTransfer.Vmean*Unity(i).Inner.HeatTransfer.Dh)/Unity(i).Properties.Cold.Average.Mu; |
---|
679 | |
---|
680 | "Inner Pipe Reynolds Number for Pressure Drop" |
---|
681 | Unity(i).Inner.PressureDrop.Re = Unity(i).Inner.HeatTransfer.Re; |
---|
682 | |
---|
683 | "Outer Pipe Velocity" |
---|
684 | Unity(i).Outer.HeatTransfer.Vmean = Unity(i).Properties.Hot.Inlet.Fw/(Unity(i).Outer.HeatTransfer.As*Unity(i).Properties.Hot.Average.rho); |
---|
685 | |
---|
686 | "Inner Pipe Velocity" |
---|
687 | Unity(i).Inner.HeatTransfer.Vmean = Unity(i).Properties.Cold.Inlet.Fw/(Unity(i).Inner.HeatTransfer.As*Unity(i).Properties.Cold.Average.rho); |
---|
688 | |
---|
689 | else |
---|
690 | |
---|
691 | "Pressure Drop Hot Stream" |
---|
692 | Unity(i).Outlet.Hot.P = Unity(i).Inlet.Hot.P - Unity(i).Inner.PressureDrop.Pdrop; |
---|
693 | |
---|
694 | "Pressure Drop Cold Stream" |
---|
695 | Unity(i).Outlet.Cold.P = Unity(i).Inlet.Cold.P - Unity(i).Outer.PressureDrop.Pdrop; |
---|
696 | |
---|
697 | "Inner Pipe Film Coefficient" |
---|
698 | Unity(i).Inner.HeatTransfer.hcoeff= HE.PipeFilmCoeff(Unity(i).Inner.HeatTransfer.Re,Unity(i).Inner.HeatTransfer.PR,Unity(i).Properties.Hot.Average.K,DiInner,Lpipe)*Unity(i).Inner.HeatTransfer.Phi; |
---|
699 | |
---|
700 | "Outer Pipe Film Coefficient" |
---|
701 | Unity(i).Outer.HeatTransfer.hcoeff= HE.PipeFilmCoeff(Unity(i).Outer.HeatTransfer.Re,Unity(i).Outer.HeatTransfer.PR,Unity(i).Properties.Cold.Average.K,Unity(i).Outer.HeatTransfer.Dh,Lpipe)*Unity(i).Outer.HeatTransfer.Phi; |
---|
702 | |
---|
703 | "Outer Pipe Pressure Drop" |
---|
704 | Unity(i).Outer.PressureDrop.Pdrop = (2*Unity(i).Outer.PressureDrop.fi*Lpipe*Unity(i).Properties.Cold.Average.rho*Unity(i).Outer.HeatTransfer.Vmean^2)/(Unity(i).Outer.PressureDrop.Dh*Unity(i).Outer.HeatTransfer.Phi); |
---|
705 | |
---|
706 | "Inner Pipe Pressure Drop" |
---|
707 | Unity(i).Inner.PressureDrop.Pdrop = (2*Unity(i).Inner.PressureDrop.fi*Lpipe*Unity(i).Properties.Hot.Average.rho*Unity(i).Inner.HeatTransfer.Vmean^2)/(DiInner*Unity(i).Inner.HeatTransfer.Phi); |
---|
708 | |
---|
709 | "Outer Pipe Phi correction" |
---|
710 | Unity(i).Outer.HeatTransfer.Phi = HE.PhiCorrection(Unity(i).Properties.Cold.Average.Mu,Unity(i).Properties.Cold.Wall.Mu); |
---|
711 | |
---|
712 | "Inner Pipe Phi correction" |
---|
713 | Unity(i).Inner.HeatTransfer.Phi = HE.PhiCorrection(Unity(i).Properties.Hot.Average.Mu,Unity(i).Properties.Hot.Wall.Mu); |
---|
714 | |
---|
715 | "Outer Pipe Prandtl Number" |
---|
716 | Unity(i).Outer.HeatTransfer.PR = ((Unity(i).Properties.Cold.Average.Cp/Unity(i).Properties.Cold.Average.Mw)*Unity(i).Properties.Cold.Average.Mu)/Unity(i).Properties.Cold.Average.K; |
---|
717 | |
---|
718 | "Inner Pipe Prandtl Number" |
---|
719 | Unity(i).Inner.HeatTransfer.PR = ((Unity(i).Properties.Hot.Average.Cp/Unity(i).Properties.Hot.Average.Mw)*Unity(i).Properties.Hot.Average.Mu)/Unity(i).Properties.Hot.Average.K; |
---|
720 | |
---|
721 | "Outer Pipe Reynolds Number for Heat Transfer" |
---|
722 | Unity(i).Outer.HeatTransfer.Re = (Unity(i).Properties.Cold.Average.rho*Unity(i).Outer.HeatTransfer.Vmean*Unity(i).Outer.HeatTransfer.Dh)/Unity(i).Properties.Cold.Average.Mu; |
---|
723 | |
---|
724 | "Outer Pipe Reynolds Number for Pressure Drop" |
---|
725 | Unity(i).Outer.PressureDrop.Re = (Unity(i).Properties.Cold.Average.rho*Unity(i).Outer.HeatTransfer.Vmean*Unity(i).Outer.PressureDrop.Dh)/Unity(i).Properties.Cold.Average.Mu; |
---|
726 | |
---|
727 | "Inner Pipe Reynolds Number for Pressure Drop" |
---|
728 | Unity(i).Inner.PressureDrop.Re = Unity(i).Inner.HeatTransfer.Re; |
---|
729 | |
---|
730 | "Inner Pipe Reynolds Number for Heat Transfer" |
---|
731 | Unity(i).Inner.HeatTransfer.Re = (Unity(i).Properties.Hot.Average.rho*Unity(i).Inner.HeatTransfer.Vmean*Unity(i).Inner.HeatTransfer.Dh)/Unity(i).Properties.Hot.Average.Mu; |
---|
732 | |
---|
733 | "Outer Pipe Velocity" |
---|
734 | Unity(i).Outer.HeatTransfer.Vmean = Unity(i).Properties.Cold.Inlet.Fw/(Unity(i).Outer.HeatTransfer.As*Unity(i).Properties.Cold.Average.rho); |
---|
735 | |
---|
736 | "Inner Pipe Velocity" |
---|
737 | Unity(i).Inner.HeatTransfer.Vmean = Unity(i).Properties.Hot.Inlet.Fw/(Unity(i).Inner.HeatTransfer.As*Unity(i).Properties.Hot.Average.rho); |
---|
738 | |
---|
739 | end |
---|
740 | |
---|
741 | "Inner Pipe Resistance" |
---|
742 | Unity(i).Resistances.Rtube*(Unity(i).Inner.HeatTransfer.hcoeff*DiInner) = DoInner; |
---|
743 | |
---|
744 | "Wall Resistance" |
---|
745 | Unity(i).Resistances.Rwall=DoInner*ln(DoInner/DiInner)/(2*Kwall); |
---|
746 | |
---|
747 | "Outer Pipe Resistance" |
---|
748 | Unity(i).Resistances.Rshell*(Unity(i).Outer.HeatTransfer.hcoeff)=1; |
---|
749 | |
---|
750 | end |
---|
751 | |
---|
752 | |
---|
753 | end |
---|
754 | |
---|
755 | Model Multitubular_Basic_LMTD as Multitubular_Basic |
---|
756 | #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++# |
---|
757 | # Basic Model for Double Pipe Heat Exchanger- LMTD Method |
---|
758 | #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++# |
---|
759 | VARIABLES |
---|
760 | |
---|
761 | DT0(Npipe) as temp_delta (Brief="Temperature Difference at Inlet",Lower=1); |
---|
762 | DTL(Npipe) as temp_delta (Brief="Temperature Difference at Outlet",Lower=1); |
---|
763 | LMTD(Npipe) as temp_delta (Brief="Logarithmic Mean Temperature Difference",Lower=1); |
---|
764 | |
---|
765 | EQUATIONS |
---|
766 | #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++# |
---|
767 | # Log Mean Temperature Difference |
---|
768 | #+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++# |
---|
769 | for i in [1:Npipe] |
---|
770 | |
---|
771 | if abs(DT0(i) - DTL(i)) > 0.05*max(abs([DT0(i),DTL(i)])) |
---|
772 | |
---|
773 | then |
---|
774 | "Log Mean Temperature Difference" |
---|
775 | LMTD(i)= (DT0(i)-DTL(i))/ln(DT0(i)/DTL(i)); |
---|
776 | |
---|
777 | else |
---|
778 | |
---|
779 | if DT0(i)*DTL(i) equal 0 |
---|
780 | |
---|
781 | then |
---|
782 | "Log Mean Temperature Difference" |
---|
783 | LMTD(i) = 0.5*(DT0(i)+DTL(i)); |
---|
784 | |
---|
785 | else |
---|
786 | "Log Mean Temperature Difference" |
---|
787 | LMTD(i) = 0.5*(DT0(i)+DTL(i))*(1-(DT0(i)-DTL(i))^2/(DT0(i)*DTL(i))*(1+(DT0(i)-DTL(i))^2/(DT0(i)*DTL(i))/2)/12); |
---|
788 | |
---|
789 | end |
---|
790 | |
---|
791 | end |
---|
792 | |
---|
793 | "Exchange Surface Area" |
---|
794 | Unity(i).Details.Q = Unity(i).Details.Ud*Unity(i).Details.A*LMTD(i); |
---|
795 | |
---|
796 | end |
---|
797 | |
---|
798 | end |
---|
799 | |
---|
800 | Model Multitubular_Counter_NTU as Multitubular_Basic |
---|
801 | |
---|
802 | VARIABLES |
---|
803 | |
---|
804 | Eft(Npipe) as positive (Brief="Effectiveness",Default=0.05,Lower=1e-8); |
---|
805 | |
---|
806 | CONNECTIONS |
---|
807 | |
---|
808 | Unity([1:Npipe-1]).Outlet.Hot to Unity([2:Npipe]).Inlet.Hot; |
---|
809 | Unity([2:Npipe]).Outlet.Cold to Unity([1:Npipe-1]).Inlet.Cold; |
---|
810 | |
---|
811 | EQUATIONS |
---|
812 | |
---|
813 | for i in [1:Npipe] |
---|
814 | |
---|
815 | if Unity(i).Details.Cr equal 0 |
---|
816 | |
---|
817 | then |
---|
818 | "Effectiveness" |
---|
819 | Eft(i) = 1-exp(-Unity(i).Details.NTU); |
---|
820 | |
---|
821 | else |
---|
822 | |
---|
823 | if Unity(i).Details.Cr equal 1 |
---|
824 | |
---|
825 | then |
---|
826 | "Effectiveness in Counter Flow" |
---|
827 | Eft(i) = Unity(i).Details.NTU/(1+Unity(i).Details.NTU); |
---|
828 | |
---|
829 | else |
---|
830 | "Effectiveness in Counter Flow" |
---|
831 | Eft(i)*(1-Unity(i).Details.Cr*exp(-Unity(i).Details.NTU*(1-Unity(i).Details.Cr))) = (1-exp(-Unity(i).Details.NTU*(1-Unity(i).Details.Cr))); |
---|
832 | |
---|
833 | end |
---|
834 | |
---|
835 | |
---|
836 | end |
---|
837 | |
---|
838 | "Energy Balance" |
---|
839 | Unity(i).Details.Q = Eft(i)*Unity(i).Details.Cmin*(Unity(i).Inlet.Hot.T-Unity(i).Inlet.Cold.T); |
---|
840 | |
---|
841 | end |
---|
842 | |
---|
843 | end |
---|
844 | |
---|
845 | Model Multitubular_Cocurrent_NTU as Multitubular_Basic |
---|
846 | |
---|
847 | VARIABLES |
---|
848 | |
---|
849 | Eft(Npipe) as positive (Brief="Effectiveness",Default=0.05,Lower=1e-8); |
---|
850 | |
---|
851 | CONNECTIONS |
---|
852 | |
---|
853 | Unity([1:Npipe-1]).Outlet.Hot to Unity([2:Npipe]).Inlet.Hot; |
---|
854 | Unity([1:Npipe-1]).Outlet.Cold to Unity([2:Npipe]).Inlet.Cold; |
---|
855 | |
---|
856 | EQUATIONS |
---|
857 | |
---|
858 | for i in [1:Npipe] |
---|
859 | |
---|
860 | if Unity(i).Details.Cr equal 0 |
---|
861 | |
---|
862 | then |
---|
863 | "Effectiveness" |
---|
864 | Eft(i) = 1-exp(-Unity(i).Details.NTU); |
---|
865 | |
---|
866 | else |
---|
867 | "Effectiveness in Cocurrent Flow" |
---|
868 | Eft(i) = (1-exp(-Unity(i).Details.NTU*(1+Unity(i).Details.Cr)))/(1+Unity(i).Details.Cr); |
---|
869 | |
---|
870 | end |
---|
871 | |
---|
872 | "Energy Balance" |
---|
873 | Unity(i).Details.Q = Eft(i)*Unity(i).Details.Cmin*(Unity(i).Inlet.Hot.T-Unity(i).Inlet.Cold.T); |
---|
874 | |
---|
875 | end |
---|
876 | |
---|
877 | end |
---|
878 | |
---|
879 | Model Multitubular_Counter_LMTD as Multitubular_Basic_LMTD |
---|
880 | |
---|
881 | CONNECTIONS |
---|
882 | |
---|
883 | Unity([1:Npipe-1]).Outlet.Hot to Unity([2:Npipe]).Inlet.Hot; |
---|
884 | Unity([2:Npipe]).Outlet.Cold to Unity([1:Npipe-1]).Inlet.Cold; |
---|
885 | |
---|
886 | EQUATIONS |
---|
887 | for i in [1:Npipe] |
---|
888 | |
---|
889 | "Temperature Difference at Inlet - Counter Flow" |
---|
890 | DT0(i) = Unity(i).Inlet.Hot.T - Unity(i).Outlet.Cold.T; |
---|
891 | |
---|
892 | "Temperature Difference at Outlet - Counter Flow" |
---|
893 | DTL(i) = Unity(i).Outlet.Hot.T - Unity(i).Inlet.Cold.T; |
---|
894 | |
---|
895 | end |
---|
896 | |
---|
897 | end |
---|
898 | |
---|
899 | Model Multitubular_Cocurrent_LMTD as Multitubular_Basic_LMTD |
---|
900 | |
---|
901 | CONNECTIONS |
---|
902 | |
---|
903 | Unity([1:Npipe-1]).Outlet.Hot to Unity([2:Npipe]).Inlet.Hot; |
---|
904 | Unity([1:Npipe-1]).Outlet.Cold to Unity([2:Npipe]).Inlet.Cold; |
---|
905 | |
---|
906 | EQUATIONS |
---|
907 | |
---|
908 | for i in [1:Npipe] |
---|
909 | |
---|
910 | "Temperature Difference at Inlet - Cocurrent Flow" |
---|
911 | DT0(i) = Unity(i).Inlet.Hot.T - Unity(i).Inlet.Cold.T; |
---|
912 | |
---|
913 | "Temperature Difference at Outlet - Cocurrent Flow" |
---|
914 | DTL(i) = Unity(i).Outlet.Hot.T - Unity(i).Outlet.Cold.T; |
---|
915 | |
---|
916 | end |
---|
917 | |
---|
918 | end |
---|