Preface |
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xi | |
Acknowledgments |
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xiii | |
Author |
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xv | |
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1 | (38) |
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1 | (1) |
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2 | (1) |
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1.3 Why Study Process Modeling and Simulation? |
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3 | (1) |
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1.4 Terminology of Process Modeling and Simulation |
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4 | (2) |
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1.4.1 State Variables and State Equations |
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4 | (1) |
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1.4.2 Steady State and Transient |
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4 | (1) |
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1.4.3 Lumped versus Distributed Parameters |
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5 | (1) |
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5 | (1) |
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6 | (1) |
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1.5 The Steps for Building a Mathematical Model |
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6 | (1) |
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1.6 Fundamental Balance Equations |
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6 | (6) |
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7 | (1) |
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1.6.2 Total and Component Balances |
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8 | (1) |
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1.6.3 Material Balance on Individual Components |
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9 | (1) |
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10 | (1) |
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11 | (1) |
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1.7 Process Classification |
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12 | (2) |
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13 | (1) |
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13 | (1) |
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14 | (1) |
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14 | (1) |
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1.9 Procedure of Mass Balance |
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14 | (2) |
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1.9.1 Microscopic Balance |
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15 | (1) |
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1.9.2 Macroscopic Balance |
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16 | (1) |
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16 | (6) |
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17 | (1) |
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1.10.2 Momentum Transport |
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18 | (2) |
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20 | (2) |
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1.11 Thermodynamic Relations |
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22 | (1) |
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23 | (3) |
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1.12.1 Flash Calculations |
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25 | (1) |
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26 | (1) |
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27 | (1) |
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1.15 Number of Degrees of Freedom |
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28 | (2) |
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30 | (2) |
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32 | (3) |
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35 | (3) |
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38 | (1) |
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2 Lumped Parameter Systems |
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39 | (68) |
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39 | (1) |
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2.2 Model Encountered in Material Balances Only |
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40 | (22) |
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2.2.1 Material Balance Without Reactions |
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40 | (1) |
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2.2.1.1 Degree of Freedom Analysis |
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41 | (5) |
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2.2.2 Material Balance for Chemical Reactors |
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46 | (12) |
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2.2.3 Gas Phase Reaction in a Pressurized Reactor |
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58 | (2) |
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2.2.4 Reaction with Mass Transfer |
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60 | (1) |
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60 | (1) |
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61 | (1) |
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61 | (1) |
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2.2.4.4 Degrees of Freedom Analysis |
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62 | (1) |
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62 | (38) |
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100 | (5) |
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105 | (2) |
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3 Theory and Applications of Distributed Systems |
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107 | (48) |
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107 | (1) |
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108 | (6) |
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3.2.1 Mass Transfer in Cartesian Coordinate |
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109 | (2) |
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3.2.2 Component Continuity Equation |
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111 | (1) |
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3.2.2.1 Component Mass Continuity Equation |
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111 | (2) |
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3.2.2.2 Component Molar Continuity Equation |
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113 | (1) |
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114 | (4) |
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118 | (3) |
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3.4.1 Energy Transport in Cartesian Coordinates |
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119 | (2) |
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3.4.2 Conversion Between the Coordinates |
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121 | (1) |
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3.5 Introduction of Equations of Change |
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121 | (5) |
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3.5.1 Equations of Change in Cartesian Coordinates |
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122 | (1) |
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3.5.2 Equations of Change in Cylindrical Coordinates |
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123 | (1) |
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3.5.2 Equations of Change in Spherical Coordinates |
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124 | (2) |
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3.6 Applications of the Equations of Change |
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126 | (25) |
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151 | (2) |
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153 | (2) |
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4 Computational Fluid Dynamics |
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155 | (68) |
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155 | (1) |
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156 | (2) |
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4.2.1 Cartesian Coordinate |
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156 | (1) |
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4.2.2 Cylindrical Coordinates |
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156 | (1) |
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4.2.3 Spherical Coordinates |
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157 | (1) |
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157 | (1) |
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4.3 Fluid Dynamic Systems |
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158 | (6) |
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4.3.1 Velocity Profile in a Triangular Duct |
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158 | (1) |
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4.3.2 Fluid Flow in a Nuzzle |
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159 | (1) |
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4.3.3 Fluid Flow Past a Stationary Sphere |
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159 | (1) |
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4.3.3.1 COMSOL Simulation |
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160 | (1) |
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4.3.4 Incompressible Fluid Flows Past a Solid Flat Plate |
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160 | (3) |
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163 | (1) |
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4.4 Application to Fluid Dynamics |
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164 | (54) |
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218 | (3) |
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221 | (2) |
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5 Mass Transport of Distributed Systems |
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223 | (50) |
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223 | (1) |
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5.2 Diffusion of Gas through a Membrane Tube |
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224 | (3) |
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5.3 Mass Transfer with Chemical Reaction |
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227 | (3) |
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230 | (2) |
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5.5 Diffusion of Gas in Solid |
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232 | (3) |
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233 | (2) |
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5.6 Diffusion with Chemical Reaction |
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235 | (3) |
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5.7 Leaching of Solute from Solid Particles |
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238 | (1) |
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239 | (30) |
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269 | (3) |
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272 | (1) |
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6 Heat Transfer Distributed Parameter Systems |
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273 | (90) |
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273 | (2) |
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6.1.1 Equations of Energy |
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274 | (1) |
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6.2 Heat Transfer from a Fin |
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275 | (2) |
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6.3 Radial Temperature Gradients in an Annular Chemical Reactor |
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277 | (3) |
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6.4 Heat Transfer in a Nonisothermal Plug-Flow Reactor |
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280 | (1) |
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6.5 Temperature Profile across a Composite Plane Wall |
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281 | (4) |
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6.5.1 Energy Balance on Wall 1 |
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283 | (1) |
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6.5.2 Energy Balance on Wall 2 |
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284 | (1) |
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285 | (73) |
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358 | (3) |
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361 | (2) |
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363 | (58) |
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363 | (11) |
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7.1.1 Equilibrium Conversion |
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365 | (2) |
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7.1.2 Numerical Solution of Equilibrium Conversion |
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367 | (1) |
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7.1.3 Numerical Solution in Case of Hydrogen Permeation |
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368 | (3) |
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7.1.4 Variable Feed Concentration |
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371 | (2) |
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7.1.5 Effect of Membrane Thickness |
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373 | (1) |
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7.2 Absorption of Carbon Dioxide from Flue Gas |
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374 | (11) |
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7.2.1 Capture of Carbon Dioxide Using Fresh Water |
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374 | (1) |
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375 | (1) |
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7.2.1.2 COMSOL Simulation |
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376 | (4) |
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7.2.2 Capture of COz Using Aqueous Sodium Hydroxide |
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380 | (1) |
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380 | (1) |
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7.2.2.2 COMSOL Simulation |
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381 | (4) |
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385 | (11) |
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7.3.1 Isothermal Packed Bed Reactor |
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386 | (1) |
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7.3.1.1 Model Development |
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386 | (3) |
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7.3.1.2 COMSOL Simulation |
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389 | (5) |
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7.3.3 Adiabatic Packed Bed Reactor |
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394 | (2) |
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7.4 Fluid Flow of Two Immiscible Liquids |
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396 | (3) |
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396 | (1) |
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396 | (3) |
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7.5 Production of Propylene Glycol in Adiabatic Tubular Reactor |
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399 | (8) |
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400 | (2) |
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7.5.1.1 Boundary Conditions |
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402 | (1) |
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403 | (4) |
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7.6 Coupling of Fluid and Heat Transfer (Multiphysics) |
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407 | (4) |
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7.7 Unsteady Diffusion of Contaminated Source from the Skin of a Pipe Line |
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411 | (3) |
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7.8 Maxwell-Stefan Diffusion |
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414 | (6) |
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7.8.1 Hydrogen Production |
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415 | (5) |
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420 | (1) |
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8 Computing Solutions of Ordinary Differential Equations |
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421 | (76) |
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421 | (2) |
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8.2 Numerical Solution of Single Ordinary Equation |
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423 | (33) |
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424 | (5) |
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8.2.2 Modified Euler Method |
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429 | (4) |
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433 | (5) |
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8.2.4 Heun Predictor-Corrector Method |
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438 | (2) |
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440 | (1) |
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8.2.5.1 Second-Order Runge-Kutta (RK2) |
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440 | (1) |
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8.2.5.2 Third-Order Runge-Kutta (RK3) |
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441 | (1) |
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8.2.5.3 Fourth-Order Runge-Kutta |
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442 | (14) |
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8.3 Simultaneous Systems of First-Order Differential Equations |
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456 | (3) |
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459 | (1) |
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459 | (3) |
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462 | (1) |
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9 Higher-Order Differential Equations |
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463 | (1) |
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463 | (6) |
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9.2 Initial and Boundary Value Problems |
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469 | (1) |
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470 | (9) |
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9.4 Simultaneous Ordinary Differential Equation |
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479 | (1) |
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9.5 Solving High-Order Differential Equations Using COMSOL |
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480 | (12) |
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492 | (4) |
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496 | (1) |
Index |
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497 | |