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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 PÉCLET 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