Modelling in Transport Phenomena

Table of Contents......Page 11
1.1 Basic Concepts......Page 17
1.2 Definitions......Page 19
1.3 Mathematical Formulation of the Basic Concepts......Page 21
1.4 Simplification of the Rate Equation......Page 24
2.1 Molecular Transport......Page 31
2.2 Dimensionless Numbers......Page 41
2.3 Convective Transport......Page 42
2.4 Total Flux......Page 43
3.1 Friction Factor......Page 57
3.2 Heat Transfer Coefficient......Page 61
3.3 Mass Transfer Coefficient......Page 65
3.4 Dimensionless Numbers......Page 70
3.5 Transport Analogies......Page 72
4: Evaluation of Transfer Coefficients: Engineering Correlations......Page 81
4.1 Reference Temperature and Concentration......Page 82
4.2 Flow Past a Flat Plate......Page 83
4.3 Flow Past a Single Sphere......Page 90
4.4 Flow Normal to a Single Cylinder......Page 103
4.5 Flow in Circular Pipes......Page 110
4.6 Flow in Packed Beds......Page 130
5.1 Rate of Generation in Momentum Transport......Page 149
5.2 Rate of Generation in Energy Transport......Page 152
5.3 Rate of Generation in Mass Transport......Page 154
6: Steady - State Macroscopic Balances......Page 165
6.1 Conservation of Chemical Species......Page 166
6.2 Conservation of Mass......Page 168
6.3 Conservation of Energy......Page 172
7: Unsteady - State Macroscopic Balances......Page 197
7.1 Approximations Used in Modelling of Unsteady - State Processes......Page 198
7.2 Conservation of Chemical Species......Page 201
7.6 Conservation of Total Mass......Page 202
7.4 Conservation of Momentum......Page 210
7.5 Conservation of Energy......Page 214
7.6 Design of a Spray Tower for the Granulation of Melt......Page 227
8: Steady - State Microscopic Balances without Generation......Page 253
8.1 Momentum Transport......Page 254
8.2 Energy Transport without Convection......Page 261
8.3 Energy Transport with Convection......Page 299
8.4 Mass Transport without Convection......Page 300
8.5 Mass Tansport with Convection......Page 317
9.1 Momentum Transport......Page 341
9.2 Energy Transport without Convection......Page 358
9.3 Heat Transfer with Convection......Page 376
9.4 Mass Transfer without Convection......Page 393
9.5 Mass Transfer with Convection......Page 400
10.1 Momentum Transport......Page 445
10.2 Energy Transport......Page 452
10.3 Mass Transport......Page 473
11.1 Unsteady Laminar Flow in a Tube......Page 489
11.2 Unsteady Conduction with Heat Generation......Page 496
11.3 Gas Absorption into a Liquid Droplet with Reaction......Page 501
Appendix A: Mathematical Preliminaries......Page 507
Appendix B: Solutions of Differential Equations......Page 547
Appendix C: Flux Expressions for Mass, Momentum, and Energy......Page 583
Appendix D: Physical Properties......Page 591
Appendix E: Constants and Conversion Factors......Page 599
Index......Page 602