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Preface | |
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List of Symbols | |
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Diffusive Fluxes and Material Properties | |
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Introduction | |
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Basic Constitutive Equations | |
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Diffusivities for Energy, Species, and Momentum | |
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Magnitudes of Transport Coefficients | |
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Molecular Interpretation of Transport Coefficients | |
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Limitations on Length and Time Scales | |
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References | |
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Problems | |
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Fundamentals of Heat and Mass Transfer | |
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Introduction | |
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General Forms of Conservation Equations | |
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Conservation of Mass | |
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Conservation of Energy: Thermal Effects | |
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Heat Transfer at Interfaces | |
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Conservation of Chemical Species | |
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Mass Transfer at Interfaces | |
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Molecular View of Species Conservation | |
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References | |
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Problems | |
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Formulation and Approximation | |
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Introduction | |
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One-Dimensional Examples | |
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Order-of-Magnitude Estimation and Scaling | |
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"Dimensionality" in Modeling | |
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Time Scales in Modeling | |
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References | |
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Problems | |
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Solution Methods Based on Scaling Concepts | |
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Introduction | |
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Similarity Method | |
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Regular Perturbation Analysis | |
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Singular Perturbation Analysis | |
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References | |
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Problems | |
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Solution Methods for Linear Problems | |
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Introduction | |
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Properties of Linear Boundary-Value Problems | |
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Finite Fourier Transform Method | |
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Basis Functions | |
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Fourier Series | |
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FFT Solutions for Rectangular Geometries | |
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FFT Solutions for Cylindrical Geometries | |
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FFT Solutions for Spherical Geometries | |
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Point-Source Solutions | |
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More on Self-Adjoint Eigenvalue Problems and FFT Solutions | |
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References | |
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Problems | |
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Fundamentals of Fluid Mechanics | |
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Introduction | |
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Conservation of Momentum | |
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Total Stress, Pressure, and Viscous Stress | |
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Fluid Kinematics | |
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Constitutive Equations for Viscous Stress | |
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Fluid Mechanics at Interfaces | |
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Force Calculations | |
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Stream Function | |
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Dimensionless Groups and Flow Regimes | |
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References | |
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Problems | |
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Unidirectional and Nearly Unidirectional Flow | |
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Introduction | |
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Steady Flow with a Pressure Gradient | |
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Steady Flow with a Moving Surface | |
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Time-Dependent Flow | |
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Limitations of Exact Solutions | |
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Nearly Unidirectional Flow | |
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References | |
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Problems | |
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Creeping Flow | |
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Introduction | |
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General Features of Low Reynolds Number Flow | |
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Unidirectional and Nearly Unidirectional Solutions | |
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Stream-Function Solutions | |
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Point-Force Solutions | |
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Particles and Suspensions | |
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Corrections to Stokes' Law | |
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References | |
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Problems | |
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Laminar Flow at High Reynolds Number | |
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Introduction | |
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General Features of High Reynolds Number Flow | |
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Irrotational Flow | |
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Boundary Layers at Solid Surfaces | |
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Internal Boundary Layers | |
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References | |
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Problems | |
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Forced-Convection Heat and Mass Transfer in Confined Laminar Flows | |
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Introduction | |
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P�clet Number | |
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Nusselt and Sherwood Numbers | |
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Entrance Region | |
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Fully Developed Region | |
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Conservation of Energy: Mechanical Effects | |
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Taylor Dispersion | |
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References | |
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Problems | |
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Forced-Convection Heat and Mass Transfer in Unconfined Laminar Flows | |
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Introduction | |
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Heat and Mass Transfer in Creeping Flow | |
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Heat and Mass Transfer in Laminar Boundary Layers | |
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Scaling Laws for Nusselt and Sherwood Numbers | |
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References | |
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Problems | |
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Transport in Buoyancy-Driven Flow | |
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Introduction | |
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Buoyancy and the Boussinesq Approximation | |
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Confined Flows | |
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Dimensional Analysis and Boundary-Layer Equations | |
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Unconfined Flows | |
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References | |
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Problems | |
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Transport in Turbulent Flow | |
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Introduction | |
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Basic Features of Turbulence | |
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Time-Smoothed Equations | |
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Eddy Diffusivity Models | |
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Other Approaches for Turbulent-Flow Calculations | |
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References | |
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Problems | |
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Simultaneous Energy and Mass Transfer and Multicomponent Systems | |
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Introduction | |
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Conservation of Energy: Multicomponent Systems | |
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Simultaneous Heat and Mass Transfer | |
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Introduction to Coupled Fluxes | |
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Stefan-Maxwell Equations | |
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Generalized Diffusion in Dilute Mixtures | |
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Generalized Stefan-Maxwell Equations | |
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References | |
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Problems | |
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Transport in Electrolyte Solutions | |
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Introduction | |
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Formulation of Macroscopic Problems | |
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Macroscopic Examples | |
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Equilibrium Double Layers | |
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Electrokinetic Phenomena | |
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References | |
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Problems | |
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Vectors and Tensors | |
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Introduction | |
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Representation of Vectors and Tensors | |
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Vector and Tensor Products | |
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Vector-Differential Operators | |
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Integral Transformations | |
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Position Vectors | |
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Orthogonal Curvilinear Coordinates | |
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Surface Geometry | |
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References | |
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Ordinary Differential Equations and Special Functions | |
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Introduction | |
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First-Order Equations | |
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Equations with Constant Coefficients | |
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Bessel and Spherical Bessel Equations | |
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Other Equations with Variable Coefficients | |
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References | |
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Index | |