Analysis of Transport Phenomena

Description

Analysis of Transport Phenomena, Second Edition, provides a unified treatment of momentum, heat, and mass transfer, emphasizing the concepts and analytical techniques that apply to these transport processes. The second edition has been revised to reinforce the progression from simple to complex topics and to better introduce the applied mathematics that is needed both to understand classical results and to model novel systems. A common set of formulation, simplification, and solution methods is applied first to heat or mass transfer in stationary media and then to fluid mechanics, convective heat or mass transfer, and systems involving various kinds of coupled fluxes. Cover Brief Contents Contents Preface List of Symbols Chapter 1 Diffusive Fluxes and Material Properties 1.1 Introduction Chapter 1 Diffusive Fluxes and Material Properties 1.2 Basic Constitutive Equations Chapter 1 Diffusive Fluxes and Material Properties 1.3 Diffusivities for Energy, Species, and Momentum Chapter 1 Diffusive Fluxes and Material Properties 1.4 Magnitudes of Transport Coefficients Chapter 1 Diffusive Fluxes and Material Properties 1.5 Molecular Interpretation of Transport Coefficients Chapter 1 Diffusive Fluxes and Material Properties 1.6 Limitations on Length and Time Scales Chapter 1 Diffusive Fluxes and Material Properties References Chapter 1 Diffusive Fluxes and Material Properties Problems Chapter 2 Fundamentals of Heat and Mass Transfer 2.1 Introduction Chapter 2 Fundamentals of Heat and Mass Transfer 2.2 General Forms of Conservation Equations Chapter 2 Fundamentals of Heat and Mass Transfer 2.3 Conservation of Mass Chapter 2 Fundamentals of Heat and Mass Transfer 2.4 Conservation of Energy: Thermal Effects Chapter 2 Fundamentals of Heat and Mass Transfer 2.5 Heat Transfer at Interfaces Chapter 2 Fundamentals of Heat and Mass Transfer 2.6 Conservation of Chemical Species Chapter 2 Fundamentals of Heat and Mass Transfer 2.7 Mass Transfer at Interfaces Chapter 2 Fundamentals of Heat and Mass Transfer 2.8 Molecular View of Species Conservation Chapter 2 Fundamentals of Heat and Mass Transfer References Problems Chapter 3 Formulation and Approximation 3.1 Introduction Chapter 3 Formulation and Approximation 3.2 One-Dimensional Examples Chapter 3 Formulation and Approximation 3.3 Order-of-Magnitude Estimation and Scaling Chapter 3 Formulation and Approximation 3.4 “Dimensionality” in Modeling Chapter 3 Formulation and Approximation 3.5 Time Scales in Modeling Chapter 3 Formulation and Approximation References Chapter 3 Formulation and Approximation Problems Chapter 4 Solution Methods Based on Scaling Concepts 4.1 Introduction Chapter 4 Solution Methods Based on Scaling Concepts 4.2 Similarity Method Chapter 4 Solution Methods Based on Scaling Concepts 4.3 Regular Perturbation Analysis Chapter 4 Solution Methods Based on Scaling Concepts 4.4 Singular Perturbation Analysis Chapter 4 Solution Methods Based on Scaling Concepts References Problems Chapter 5 Solution Methods for Linear Problems 5.1 Introduction Chapter 5 Solution Methods for Linear Problems 5.2 Properties of Linear Boundary-Value Problems Chapter 5 Solution Methods for Linear Problems 5.3 Finite Fourier Transform Method Chapter 5 Solution Methods for Linear Problems 5.4 Basis Functions Chapter 5 Solution Methods for Linear Problems 5.5 Fourier Series Chapter 5 Solution Methods for Linear Problems 5.6 FFT Solutions for Rectangular Geometries Chapter 5 Solution Methods for Linear Problems 5.7 FFT Solutions for Cylindrical Geometries Chapter 5 Solution Methods for Linear Problems 5.8 FFT Solutions for Spherical Geometries Chapter 5 Solution Methods for Linear Problems 5.9 Point-Source Solutions Chapter 5 Solution Methods for Linear Problems 5.10 More on Self-Adjoint Eigenvalue Problems and FFT Solutions Chapter 5 Solution Methods for Linear Problems References Chapter 5 Solution Methods for Linear Problems Problems Chapter 6 Fundamentals of Fluid Mechanics 6.1 Introduction 6.2 Conservation of Momentum Chapter 6 Fundamentals of Fluid Mechanics 6.3 Total Stress, Pressure, and Viscous Stress Chapter 6 Fundamentals of Fluid Mechanics 6.4 Fluid Kinematics Chapter 6 Fundamentals of Fluid Mechanics 6.5 Constitutive Equations for Viscous Stress Chapter 6 Fundamentals of Fluid Mechanics 6.6 Fluid Mechanics at Interfaces Chapter 6 Fundamentals of Fluid Mechanics 6.7 Force Calculations Chapter 6 Fundamentals of Fluid Mechanics 6.8 Stream Function Chapter 6 Fundamentals of Fluid Mechanics 6.9 Dimensionless Groups and Flow Regimes Chapter 6 Fundamentals of Fluid Mechanics References Problems Chapter 7 Unidirectional and Nearly Unidirectional Flow 7.1 Introduction Chapter 7 Unidirectional and Nearly Unidirectional Flow 7.2 Steady Flow with a Pressure Gradient Chapter 7 Unidirectional and Nearly Unidirectional Flow 7.3 Steady Flow with a Moving Surface Chapter 7 Unidirectional and Nearly Unidirectional Flow 7.4 Time-Dependent Flow Chapter 7 Unidirectional and Nearly Unidirectional Flow 7.5 Limitations of Exact Solutions Chapter 7 Unidirectional and Nearly Unidirectional Flow 7.6 Nearly Unidirectional Flow Chapter 7 Unidirectional and Nearly Unidirectional Flow References Problems Chapter 8 Creeping Flow 8.1 Introduction 8.2 General Features of Low Reynolds Number Flow Chapter 8 Creeping Flow 8.3 Unidirectional and Nearly Unidirectional Solutions Chapter 8 Creeping Flow 8.4 Stream-Function Solutions Chapter 8 Creeping Flow 8.5 Point-Force Solutions Chapter 8 Creeping Flow 8.6 Particles and Suspensions Chapter 8 Creeping Flow 8.7 Corrections to Stokes’ Law Chapter 8 Creeping Flow References Chapter 8 Creeping Flow Problems Chapter 9 Laminar Flow at High Reynolds Number 9.1 Introduction Chapter 9 Laminar Flow at High Reynolds Number 9.2 General Features of High Reynolds Number Flow Chapter 9 Laminar Flow at High Reynolds Number 9.3 Irrotational Flow Chapter 9 Laminar Flow at High Reynolds Number 9.4 Boundary Layers at Solid Surfaces Chapter 9 Laminar Flow at High Reynolds Number 9.5 Internal Boundary Layers Chapter 9 Laminar Flow at High Reynolds Number References Chapter 9 Laminar Flow at High Reynolds Number Problems Chapter 10 Forced-Convection Heat and Mass Transfer in Confined Laminar Flows 10.1 Introduction Chapter 10 Forced-Convection Heat and Mass Transfer in Confined Laminar Flows 10.2 Péclet Number Chapter 10 Forced-Convection Heat and Mass Transfer in Confined Laminar Flows 10.3 Nusselt and Sherwood Numbers Chapter 10 Forced-Convection Heat and Mass Transfer in Confined Laminar Flows 10.4 Entrance Region Chapter 10 Forced-Convection Heat and Mass Transfer in Confined Laminar Flows 10.5 Fully Developed Region Chapter 10 Forced-Convection Heat and Mass Transfer in Confined Laminar Flows 10.6 Conservation of Energy: Mechanical Effects Chapter 10 Forced-Convection Heat and Mass Transfer in Confined Laminar Flows 10.7 Taylor Dispersion Chapter 10 Forced-Convection Heat and Mass Transfer in Confined Laminar Flows References Chapter 10 Forced-Convection Heat and Mass Transfer in Confined Laminar Flows Problems Chapter 11 Forced-Convection Heat and Mass Transfer in Unconfined Laminar Flows 11.1 Introduction Chapter 11 Forced-Convection Heat and Mass Transfer in Unconfined Laminar Flows 11.2 Heat and Mass Transfer in Creeping Flow Chapter 11 Forced-Convection Heat and Mass Transfer in Unconfined Laminar Flows 11.3 Heat and Mass Transfer in Laminar Boundary Layers Chapter 11 Forced-Convection Heat and Mass Transfer in Unconfined Laminar Flows 11.4 Scaling Laws for Nusselt and Sherwood Numbers Chapter 11 Forced-Convection Heat and Mass Transfer in Unconfined Laminar Flows References Chapter 11 Forced-Convection Heat and Mass Transfer in Unconfined Laminar Flows Problems Chapter 12 Transport in Buoyancy-Driven Flow 12.1 Introduction Chapter 12 Transport in Buoyancy-Driven Flow 12.2 Buoyancy and the Boussinesq Approximation Chapter 12 Transport in Buoyancy-Driven Flow 12.3 Confined Flows Chapter 12 Transport in Buoyancy-Driven Flow 12.4 Dimensional Analysis and Boundary-Layer Equations Chapter 12 Transport in Buoyancy-Driven Flow 12.5 Unconfined Flows Chapter 12 Transport in Buoyancy-Driven Flow References Chapter 12 Transport in Buoyancy-Driven Flow Problems Chapter 13 Transport in Turbulent Flow 13.1 Introduction 13.2 Basic Features of Turbulence Chapter 13 Transport in Turbulent Flow 13.3 Time-Smoothed Equations Chapter 13 Transport in Turbulent Flow 13.4 Eddy Diffusivity Models Chapter 13 Transport in Turbulent Flow 13.5 Other Approaches for Turbulent-Flow Calculations Chapter 13 Transport in Turbulent Flow References Chapter 13 Transport in Turbulent Flow Problems Chapter 14 Simultaneous Energy and Mass Transfer and Multicomponent Systems 14.1 Introduction Chapter 14 Simultaneous Energy and Mass Transfer and Multicomponent Systems 14.2 Conservation of Energy: Multicomponent Systems Chapter 14 Simultaneous Energy and Mass Transfer and Multicomponent Systems 14.3 Simultaneous Heat and Mass Transfer Chapter 14 Simultaneous Energy and Mass Transfer and Multicomponent Systems 14.4 Introduction to Coupled Fluxes Chapter 14 Simultaneous Energy and Mass Transfer and Multicomponent Systems 14.5 Stefan–Maxwell Equations Chapter 14 Simultaneous Energy and Mass Transfer and Multicomponent Systems 14.6 Generalized Diffusion in Dilute Mixtures Chapter 14 Simultaneous Energy and Mass Transfer and Multicomponent Systems 14.7 Generalized Stefan–Maxwell Equations Chapter 14 Simultaneous Energy and Mass Transfer and Multicomponent Systems References Chapter 14 Simultaneous Energy and Mass Transfer and Multicomponent Systems Problems Chapter 15 Transport in Electrolyte Solutions 15.1 Introduction Chapter 15 Transport in Electrolyte Solutions 15.2 Formulation of Macroscopic Problems Chapter 15 Transport in Electrolyte Solutions 15.3 Macroscopic Examples Chapter 15 Transport in Electrolyte Solutions 15.4 Equilibrium Double Layers Chapter 15 Transport in Electrolyte Solutions 15.5 Electrokinetic Phenomena Chapter 15 Transport in Electrolyte Solutions References Chapter 15 Transport in Electrolyte Solutions Problems Appendix A: Vectors and Tensors A.1 Introduction A.2 Representation of Vectors and Tensors Appendix A: Vectors and Tensors A.3 Vector and Tensor Products Appendix A: Vectors and Tensors A.4 Vector-Differential Operators Appendix A: Vectors and Tensors A.5 Integral Transformations Appendix A: Vectors and Tensors A.6 Position Vectors Appendix A: Vectors and Tensors A.7 Orthogonal Curvilinear Coordinates Appendix A: Vectors and Tensors A.8 Surface Geometry Appendix A: Vectors and Tensors References Appendix B: Ordinary Differential Equations and Special Functions B.1 Introduction Appendix B: Ordinary Differential Equations and Special Functions B.2 First-Order Equations Appendix B: Ordinary Differential Equations and Special Functions B.3 Equations with Constant Coefficients Appendix B: Ordinary Differential Equations and Special Functions B.4 Bessel and Spherical Bessel Equations Appendix B: Ordinary Differential Equations and Special Functions B.5 Other Equations with Variable Coefficients Appendix B: Ordinary Differential Equations and Special Functions References Index