Preface
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 Transfer
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
Problems.
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
Index
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