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 " 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