Analysis of Transport Phenomena

Professor William M. Deen is the Carbon P. Dubbs Professor of Chemical Engineering at the Massachusetts Institute of Technology.

"Deen is the gold standard for teaching graduate-level transport phenomena to chemical engineers." -Yossef Elabd, Drexel University

• 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