Analysis of Transport Phenomena

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 Interpretations of Transport Coefficients ; 1.6 Continuum Approximation ; References ; Problems ; CHAPTER 2 CONSERVATION EQUATIONS AND THE FUNDAMENTALS OF HEAT AND MASS TANSFER ; 2.1 Introduction ; 2.2 General Forms of Conservation Equations ; 2.3 Conservation of Mass ; 2.4 Conservation of Energy ; 2.5 Heat Transfer at Interfaces ; 2.6 Conservation of Chemical Species ; 2.7 Mass Transfer at Interfaces ; 2.8 One-Dimensional Examples ; 2.9 Species Conservation from a Molecular Viewpoint ; References ; Problems ; CHAPTER 3 SCALING AND APPROXIMATION TECHNIQUES ; 3.1 Introduction ; 3.2 Scaling ; 3.3 Reductions in Dimensionality ; 3.4 Simplifications Based on Time Scales ; 3.5 Similarity Method ; 3.6 Regular Perturbation Analysis ; 3.7 Singular Perturbation Analysis ; 3.8 Integral Approximation Method ; References ; Problems ; CHAPTER 4 SOLUTION METHODS FOR CONDUCTION AND DIFFUSION PROBLEMS ; 4.1 Introduction ; 4.2 Fundamentals of the Finite Fourier Transform (FFT) Method ; 4.3 Basis Functions as Solutions to Eigenvalue Problems ; 4.4 Representation of an Arbitrary Function Using Orthonormal Functions ; 4.5 FFT Method for Problems in Rectangular Coordinates ; 4.6 Self-Adjoint Eigenvalue Problems and Sturm-Liouville Theory ; 4.7 FFT Method for Problems in Cylindrical Coordinates ; 4.8 FFT Method for Poblems in Spherical Coordinates ; 4.9 Point-Source Solutions ; 4.10 Integral Representations ; References ; Problems ; CHAPTER 5 FUNDAMENTALS OF FLUID MECHANICS ; 5.1 Introduction ; 5.2 Fluid Kinetics ; 5.3 Conservation of Momentum ; 5.4 Total Stress, Pressure, and Viscous Stress ; 5.5 Fluid Statics ; 5.6 Constitutive Equations for the Viscous Stress ; 5.7 Fluid Mechanics at Interfaces ; 5.8 Dynamic Pressure ; 5.9 Stream function ; 5.10 Nondimensionalization and Simplification of the Navier-Stokes Equation ; Tables ; References ; Problems ; CHAPTER 6 UNIDIRECTIONAL AND NEARLY UNIDIRECTIONAL FLOW ; 6.1 Introduction ; 6.2 Steady Flow with a Pressure Gradient ; 6.3 Steady Flow with a Moving Surface ; 6.4 Time-Dependent Flow ; 6.5 Limitations of Exact Solutions ; 6.6 Lubrication Approximation ; References ; Problems ; CHAPTER 7 CREEPING FLOW ; 7.1 Introduction ; 7.2 General Features of Low Reynolds Number Flow ; 7.3 Unidirectional and Nearly Unidirectional Solutions ; 7.4 Stream Function Solutions ; 7.5 Point-Force Solutions ; 7.6 Particle Motion and Suspension Viscosity ; 7.7 Corrections to Stokes' Law ; References ; Problems ; CHAPTER 8 LAMINAR FLOW AT HIGH REYNOLDS NUMBER ; 8.1 Introduction ; 8.2 General Features of High Reynolds Number Flow ; 8.3 Irrotational Flow ; 8.4 Boundary Layers Near Solid Surfaces ; 8.5 Internal Boundary Layers ; References ; Problems ; CHAPTER 9 FORCED-CONVECTION HEAT AND MASS TRANSFER IN CONFINED LAMINAR FLOWS ; 9.1 Introduction ; 9.2 Peclet Number ; 9.3 Nusselt and Sherwood Numbers ; 9.4 Entrance Region ; 9.5 Fully Developed Region ; 9.6 Conservation of Energy: Mechanical Effects ; 9.7 Taylor Dispersion ; References ; Problems ; CHAPTER 10 FORCED-CONVECTION HEAT AND MASS TRANSFER IN UNCONFINED LAMINAR FLOWS ; 10.1 Introduction ; 10.2 Heat and Mass Transfer in Creeping Flow ; 10.3 Heat and Mass Transfer in Laminar Boundary Layers ; 10.4 Scaling Laws for Nusselt and Sherwood Numbers ; References ; Problems ; CHAPTER 11 MULTICOMPONENT ENERGY AND MASS TRANSFER ; 11.1 Introduction ; 11.2 Conservation of Energy: Multicomponent Systems ; 11.3 Simultaneous Heat and Mass Transfer ; 11.4 Introduction to Coupled Fluxes ; 11.5 Stefan-Maxwell Equations ; 11.6 Generalized Diffusion in Dilute Mixtures ; 11.7 Transport in Electrolyte Solutions ; 11.8 Generalized Stefan-Maxwell Equations ; 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 ; APPENDIX: VECTORS AND TENSORS ; Introduction ; A.1 Representation of Vectors and Tensors ; A.2 Vector and Tensor Products ; A.3 Vector Differential Operators ; A.4 Integral Transformations ; A.5 Position Vectors ; A.6 Orthogonal Curvilinear Coordinates ; A.7 Surface Geometry ; References