Modelling in Transport Phenomena (eBook)

Cover 1
Contents 10
Preface 6
Chapter 1. Introduction 16
1.1 BASIC CONCEPTS 16
1.2 DEFINITIONS 18
1.3 MATHEMATICAL FORMULATION OF THE BASIC CONCEPTS 20
1.4 SIMPLIFICATION OF THE RATE EQUATION 23
Chapter 2. Molecular and Convective Transport 30
2.1 MOLECULAR TRANSPORT 30
2.2 DIMENSIONLESS NUMBERS 40
2.3 CONVECTIVE TRANSPORT 41
2.4 TOTAL FLUX 42
Chapter 3. Interphase Transport and Transfer Coefficients 56
3.1 FRICTION FACTOR 56
3.2 HEAT TRANSFER COEFFICIENT 60
3.3 MASS TRANSFER COEFFICIENT 64
3.4 DIMENSIONLESS NUMBERS 69
3.5 TRANSPORT ANALOGIES 71
Chapter 4. Evaluation of Transfer Coefficients: Engineering Correlations 80
4.1 REFERENCE TEMPERATURE AND CONCENTRATION 81
4.2 FLOW PAST A FLAT PLATE 82
4.3 FLOW PAST A SINGLE SPHERE 89
4.4 FLOW NORMAL TO A SINGLE CYLINDER 102
4.5 FLOW IN CIRCULAR PIPES 109
4.6 FLOW IN PACKED BEDS 129
Chapter 5. Rate of Generation in Momentum, Energy and Mass Transfer 148
5.1 RATE OF GENERATION IN MOMENTUM TRANSPORT 148
5.2 RATE OF GENERATION IN ENERGY TRANSPORT 151
5.3 RATE OF GENERATION IN MASS TRANSPORT 153
Chapter 6. Steady-State Macroscopic Balances 164
6.1 CONSERVATION OF CHEMICAL SPECIES 165
6.2 CONSERVATION OF MASS 167
6.3 CONSERVATION OF ENERGY 171
Chapter 7. Unsteady-State Macroscopic Balances 196
7.1 APPROXIMATIONS USED IN UNSTEADY PROCESSES 197
7.2 CONSERVATION OF CHEMICAL SPECIES 200
7.3 CONSERVATION OF TOTAL MASS 201
7.4 CONSERVATION OF MOMENTUM 209
7.5 CONSERVATION OF ENERGY 213
7.6 DESIGN OF A SPRAY TOWER 226
Chapter 8. Steady-State Microscopic Balances Without Generation 252
8.1 MOMENTUM TRANSPORT 253
8.2 ENERGY TRANSPORT WITHOUT CONVECTION 260
8.3 ENERGY TRANSPORT WITH CONVECTION 298
8.4 MASS TRANSPORT WITHOUT CONVECTION 299
8.5 MASS TRANSPORT WITH CONVECTION 316
Chapter 9. Steady-State Microscopic Balances With Generation 340
9.1 MOMENTUM TRANSPORT 340
9.2 ENERGY TRANSPORT WITHOUT CONVECTION 357
9.3 HEAT TRANSFER WITH CONVECTION 375
9.4 MASS TRANSFER WITHOUT CONVECTION 392
9.5 MASS TRANSFER WITH CONVECTION 399
Chapter 10. Unsteady-State Microscopic Balances Without Generation 444
10.1 MOMENTUM TRANSPORT 444
10.2 ENERGY TRANSPORT 451
10.3 MASS TRANSPORT 472
Chapter 11. Unsteady-State Microscopic Balances With Generation 488
11.1 UNSTEADY LAMINAR FLOW IN A TUBE 488
11.2 UNSTEADY CONDUCTION WITH HEAT GENERATION 495
11.3 ABSORPTION WITH REACTION 500
Appendix A. Mathematical Preliminaries 506
A.1 THE CYLINDRICAL AND SPHERICAL COORDINATE SYSTEMS 506
A.2 MEAN VALUE THEOREM 508
A.3 SLOPES ON LOG-LOG AND SEMI-LOG GRAPH PAPERS 509
A.4 LEIBNITZ'S RULE FOR DIFFERENTIATION OF INTEGRALS 510
A.5 NUMERICAL DIFFERENTIATION 510
A.6 REGRESSION AND CORRELATION 515
A.7 THE ROOT OF AN EQUATION 521
A.8 METHODS OF INTEGRATION 527
A.9 MATRICES 537
Appendix B. Solutions of Differential Equations 546
B.1 FIRST-ORDER EQUATIONS WITH EXACT SOLUTIONS 546
B.2 SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS 552
B.3 SECOND-ORDER PARTIAL DIFFERENTIAL EQUATIONS 567
Appendix C. Flux Expressions 582
Appendix D. Physical Properties 590
Appendix E. Constants and Conversion Factors 598
Index 601