Analysis of Transport Phenomena

Preface ; List of Symbols ; CHAPTER 1. DIFFUSIVE FLUXES AND MATERIAL PROPERTIES ; 1.1 INTRODUCTION ; 1.2 BASIC CONSTITUTIVE EQUATIONS ; 1.3 DIFFUSIVITIES FOR ENERGY, SPECIES, AND MOMENTUM ; 1.4 MAGNITUDES OF TRANSPORT COEFFICIENTS ; 1.5 MOLECULAR INTERPRETATION OF TRANSPORT COEFFICIENTS ; 1.6 LIMITATIONS ON LENGTH AND TIME SCALES ; References ; Problems ; CHAPTER 2. FUNDAMENTALS OF HEAT AND MASS TRANSFER ; 2.1 INTRODUCTION ; 2.2 GENERAL FORMS OF CONSERVATION EQUATIONS ; 2.3 CONSERVATION OF MASS ; 2.4 CONSERVATION OF ENERGY: THERMAL EFFECTS ; 2.5 HEAT TRANSFER AT INTERFACES ; 2.6 CONSERVATION OF CHEMICAL SPECIES ; 2.7 MASS TRANSFER AT INTERFACES ; 2.8 MOLECULAR VIEW OF SPECIES CONSERVATION ; References ; Problems ; CHAPTER 3. FORMULATION AND APPROXIMATION ; 3.1 INTRODUCTION ; 3.2 ONE-DIMENSIONAL EXAMPLES ; 3.3 ORDER-OF-MAGNITUDE ESTIMATION AND SCALING ; 3.4 <"DIMENSIONALITY>" IN MODELING ; 3.5 TIME SCALES IN MODELING ; References ; Problems ; CHAPTER 4. SOLUTION METHODS BASED ON SCALING CONCEPTS ; 4.1 INTRODUCTION ; 4.2 SIMILARITY METHOD ; 4.3 REGULAR PERTURBATION ANALYSIS ; 4.4 SINGULAR PERTURBATION ANALYSIS ; References ; Problems ; CHAPTER 5. SOLUTION METHODS FOR LINEAR PROBLEMS ; 5.1 INTRODUCTION ; 5.2 PROPERTIES OF LINEAR BOUNDARY-VALUE PROBLEMS ; 5.3 FINITE FOURIER TRANSFORM METHOD ; 5.4 BASIS FUNCTIONS ; 5.5 FOURIER SERIES ; 5.6 FFT SOLUTIONS FOR RECTANGULAR GEOMETRIES ; 5.7 FFT SOLUTIONS FOR CYLINDRICAL GEOMETRIES ; 5.8 FFT SOLUTIONS FOR SPHERICAL GEOMETRIES ; 5.9 POINT-SOURCE SOLUTIONS ; 5.10 MORE ON SELF-ADJOINT EIGENVALUE PROBLEMS AND FFT ; SOLUTIONS ; References ; Problems ; CHAPTER 6. FUNDAMENTALS OF FLUID MECHANICS ; 6.1 INTRODUCTION ; 6.2 CONSERVATION OF MOMENTUM ; 6.3 TOTAL STRESS, PRESSURE, AND VISCOUS STRESS ; 6.4 FLUID KINEMATICS ; 6.5 CONSTITUTIVE EQUATIONS FOR VISCOUS STRESS ; 6.6 FLUID MECHANICS AT INTERFACES ; 6.7 FORCE CALCULATIONS ; 6.8 STREAM FUNCTION ; 6.9 DIMENSIONLESS GROUPS AND FLOW REGIMES ; References ; Problems ; CHAPTER 7. UNIDIRECTIONAL AND NEARLY UNIDIRECTIONAL FLOW ; 7.1 INTRODUCTION ; 7.2 STEADY FLOW WITH A PRESSURE GRADIENT ; 7.3 STEADY FLOW WITH A MOVING SURFACE ; 7.4 TIME-DEPENDENT FLOW ; 7.5 LIMITATIONS OF EXACT SOLUTIONS ; 7.6 NEARLY UNIDIRECTIONAL FLOW ; References ; Problems ; CHAPTER 8. CREEPING FLOW ; 8.1 INTRODUCTION ; 8.2 GENERAL FEATURES OF LOW REYNOLDS NUMBER FLOW ; 8.3 UNIDIRECTIONAL AND NEARLY UNIDIRECTIONAL SOLUTIONS ; 8.4 STREAM-FUNCTION SOLUTIONS ; 8.5 POINT-FORCE SOLUTIONS ; 8.6 PARTICLES AND SUSPENSIONS ; 8.7 CORRECTIONS TO STOKES' LAW ; References ; Problems ; CHAPTER 9. LAMINAR FLOW AT HIGH REYNOLDS NUMBER ; 9.1 INTRODUCTION ; 9.2 GENERAL FEATURES OF HIGH REYNOLDS NUMBER FLOW ; 9.3 IRROTATIONAL FLOW ; 9.4 BOUNDARY LAYERS AT SOLID SURFACES ; 9.5 INTERNAL BOUNDARY LAYERS ; References ; Problems ; CHAPTER 10. FORCED-CONVECTION HEAT AND MASS TRANSFER IN CONFINED LAMINAR FLOWS ; 10.1 INTRODUCTION ; 10.2 PECLET NUMBER ; 10.3 NUSSELT AND SHERWOOD NUMBERS ; 10.4 ENTRANCE REGION ; 10.5 FULLY DEVELOPED REGION ; 10.6 CONSERVATION OF ENERGY: MECHANICAL EFFECTS ; 10.7 TAYLOR DISPERSION ; References ; Problems ; CHAPTER 11. FORCED-CONVECTION HEAT AND MASS TRANSFER IN UNCONFINED LAMINAR FLOWS ; 11.1 INTRODUCTION ; 11.2 HEAT AND MASS TRANSFER IN CREEPING FLOW ; 11.3 HEAT AND MASS TRANSFER IN LAMINAR BOUNDARY LAYERS ; 11.4 SCALING LAWS FOR NUSSELT AND SHERWOOD NUMBERS ; References ; Problems ; CHAPTER 12. TRANSPORT IN BUOYANCY-DRIVEN FLOW ; 12.1 INTRODUCTION ; 12.2 BUOYANCY AND THE BOUSSINESQ APPROXIMATION ; 12.3 CONFINED FLOWS ; 12.4 DIMENSIONAL ANALYSIS AND BOUNDARY-LAYER EQUATIONS ; 12.5 UNCONFINED FLOWS ; References ; Problems ; CHAPTER 13. TRANSPORT IN TURBULENT FLOW ; 13.1 INTRODUCTION ; 13.2 BASIC FEATURES OF TURBULENCE ; 13.3 TIME-SMOOTHED EQUATIONS ; 13.4 EDDY DIFFUSIVITY MODELS ; 13.5 OTHER APPROACHES FOR TURBULENT-FLOW CALCULATIONS ; References ; Problems ; CHAPTER 14. SIMULTANEOUS ENERGY AND MASS TRANSFER AND MULTICOMPONENT SYSTEMS ; 14.1 INTRODUCTION ; 14.2 CONSERVATION OF ENERGY: MULTICOMPONENT SYSTEMS ; 14.3 SIMULTANEOUS HEAT AND MASS TRANSFER ; 14.4 INTRODUCTION TO COUPLED FLUXES ; 14.5 STEFAN-MAXWELL EQUATIONS ; 14.6 GENERALIZED DIFFUSION IN DILUTE MIXTURES ; 14.7 GENERALIZED STEFAN-MAXWELL EQUATIONS ; References ; Problems ; CHAPTER 15. TRANSPORT IN ELECTROLYTE SOLUTIONS ; 15.1 INTRODUCTION ; 15.2 FORMULATION OF MACROSCOPIC PROBLEMS ; 15.3 MACROSCOPIC EXAMPLES ; 15.4 EQUILIBRIUM DOUBLE LAYERS ; 15.5 ELECTROKINETIC PHENOMENA ; References ; Problems ; APPENDIX A. VECTORS AND TENSORS ; A.1 INTRODUCTION ; A.2 REPRESENTATION OF VECTORS AND TENSORS ; A.3 VECTOR AND TENSOR PRODUCTS ; A.4 VECTOR-DIFFERENTIAL OPERATORS ; A.5 INTEGRAL TRANSFORMATIONS ; A.6 POSITION VECTORS ; A.7 ORTHOGONAL CURVILINEAR COORDINATES ; A.8 SURFACE GEOMETRY ; References ; APPENDIX B. ORDINARY DIFFERENTIAL EQUATIONS AND SPECIAL FUNCTIONS ; B.1 INTRODUCTION ; B.2 FIRST-ORDER EQUATIONS ; B.3 EQUATIONS WITH CONSTANT COEFFICIENTS ; B.4 BESSEL AND SPHERICAL BESSEL EQUATIONS ; B.5 OTHER EQUATIONS WITH VARIABLE COEFFICIENTS ; References ; Index