Preface | p. xiii |

List of Symbols | p. xix |

Diffusive Fluxes and Material Properties | p. 1 |

Introduction | p. 1 |

Basic Constitutive Equations | p. 2 |

Diffusivities for Energy, Species, and Momentum | p. 7 |

Magnitudes of Transport Coefficients | p. 8 |

Molecular Interpretation of Transport Coefficients | p. 13 |

Limitations on Length and Time Scales | p. 19 |

References | p. 22 |

Problems | p. 23 |

Fundamentals of Heat and Mass Transfer | p. 26 |

Introduction | p. 26 |

General Forms of Conservation Equations | p. 27 |

Conservation of Mass | p. 34 |

Conservation of Energy: Thermal Effects | p. 36 |

Heat Transfer at Interfaces | p. 38 |

Conservation of Chemical Species | p. 41 |

Mass Transfer at Interfaces | p. 43 |

Molecular View of Species Conservation | p. 44 |

References | p. 48 |

Problems | p. 48 |

Formulation and Approximation | p. 53 |

Introduction | p. 53 |

One-Dimensional Examples | p. 54 |

Order-of-Magnitude Estimation and Scaling | p. 69 |

"Dimensionality" in Modeling | p. 77 |

Time Scales in Modeling | p. 87 |

References | p. 97 |

Problems | p. 98 |

Solution Methods Based on Scaling Concepts | p. 113 |

Introduction | p. 113 |

Similarity Method | p. 114 |

Regular Perturbation Analysis | p. 120 |

Singular Perturbation Analysis | p. 127 |

References | p. 141 |

Problems | p. 141 |

Solution Methods for Linear Problems | p. 151 |

Introduction | p. 151 |

Properties of Linear Boundary-Value Problems | p. 152 |

Finite Fourier Transform Method | p. 157 |

Basis Functions | p. 162 |

Fourier Series | p. 170 |

FFT Solutions for Rectangular Geometries | p. 174 |

FFT Solutions for Cylindrical Geometries | p. 184 |

FFT Solutions for Spherical Geometries | p. 190 |

Point-Source Solutions | p. 200 |

More on Self-Adjoint Eigenvalue Problems and FFT Solutions | p. 204 |

References | p. 209 |

Problems | p. 210 |

Fundamentals of Fluid Mechanics | p. 220 |

Introduction | p. 220 |

Conservation of Momentum | p. 220 |

Total Stress, Pressure, and Viscous Stress | p. 226 |

Fluid Kinematics | p. 230 |

Constitutive Equations for Viscous Stress | p. 236 |

Fluid Mechanics at Interfaces | p. 243 |

Force Calculations | p. 250 |

Stream Function | p. 255 |

Dimensionless Groups and Flow Regimes | p. 261 |

References | p. 265 |

Problems | p. 265 |

Unidirectional and Nearly Unidirectional Flow | p. 270 |

Introduction | p. 270 |

Steady Flow with a Pressure Gradient | p. 271 |

Steady Flow with a Moving Surface | p. 277 |

Time-Dependent Flow | p. 279 |

Limitations of Exact Solutions | p. 282 |

Nearly Unidirectional Flow | p. 288 |

References | p. 300 |

Problems | p. 300 |

Creeping Flow | p. 315 |

Introduction | p. 315 |

General Features of Low Reynolds Number Flow | p. 315 |

Unidirectional and Nearly Unidirectional Solutions | p. 319 |

Stream-Function Solutions | p. 324 |

Point-Force Solutions | p. 331 |

Particles and Suspensions | p. 334 |

Corrections to Stokes' Law | p. 343 |

References | p. 350 |

Problems | p. 351 |

Laminar Flow at High Reynolds Number | p. 361 |

Introduction | p. 361 |

General Features of High Reynolds Number Flow | p. 362 |

Irrotational Flow | p. 371 |

Boundary Layers at Solid Surfaces | p. 378 |

Internal Boundary Layers | p. 387 |

References | p. 393 |

Problems | p. 394 |

Forced-Convection Heat and Mass Transfer in Confined Laminar Flows | p. 401 |

Introduction | p. 401 |

Péclet Number | p. 402 |

Nusselt and Sherwood Numbers | p. 406 |

Entrance Region | p. 411 |

Fully Developed Region | p. 415 |

Conservation of Energy: Mechanical Effects | p. 423 |

Taylor Dispersion | p. 427 |

References | p. 433 |

Problems | p. 434 |

Forced-Convection Heat and Mass Transfer in Unconfined Laminar Flows | p. 440 |

Introduction | p. 440 |

Heat and Mass Transfer in Creeping Flow | p. 441 |

Heat and Mass Transfer in Laminar Boundary Layers | p. 446 |

Scaling Laws for Nusselt and Sherwood Numbers | p. 451 |

References | p. 457 |

Problems | p. 458 |

Transport in Buoyancy-Driven Flow | p. 463 |

Introduction | p. 463 |

Buoyancy and the Boussinesq Approximation | p. 464 |

Confined Flows | p. 466 |

Dimensional Analysis and Boundary-Layer Equations | p. 474 |

Unconfined Flows | p. 478 |

References | p. 485 |

Problems | p. 486 |

Transport in Turbulent Flow | p. 491 |

Introduction | p. 491 |

Basic Features of Turbulence | p. 491 |

Time-Smoothed Equations | p. 499 |

Eddy Diffusivity Models | p. 505 |

Other Approaches for Turbulent-Flow Calculations | p. 518 |

References | p. 524 |

Problems | p. 525 |

Simultaneous Energy and Mass Transfer and Multicomponent Systems | p. 529 |

Introduction | p. 529 |

Conservation of Energy: Multicomponent Systems | p. 530 |

Simultaneous Heat and Mass Transfer | p. 532 |

Introduction to Coupled Fluxes | p. 545 |

Stefan-Maxwell Equations | p. 550 |

Generalized Diffusion in Dilute Mixtures | p. 553 |

Generalized Stefan-Maxwell Equations | p. 557 |

References | p. 563 |

Problems | p. 564 |

Transport in Electrolyte Solutions | p. 573 |

Introduction | p. 573 |

Formulation of Macroscopic Problems | p. 574 |

Macroscopic Examples | p. 580 |

Equilibrium Double Layers | p. 585 |

Electrokinetic Phenomena | p. 592 |

References | p. 601 |

Problems | p. 602 |

Vectors and Tensors | p. 609 |

Introduction | p. 609 |

Representation of Vectors and Tensors | p. 609 |

Vector and Tensor Products | p. 612 |

Vector-Differential Operators | p. 617 |

Integral Transformations | p. 620 |

Position Vectors | p. 623 |

Orthogonal Curvilinear Coordinates | p. 625 |

Surface Geometry | p. 634 |

References | p. 638 |

Ordinary Differential Equations and Special Functions | p. 639 |

Introduction | p. 639 |

First-Order Equations | p. 640 |

Equations with Constant Coefficients | p. 641 |

Bessel and Spherical Bessel Equations | p. 642 |

Other Equations with Variable Coefficients | p. 647 |

References | p. 650 |

Index | p. 651 |

Table of Contents provided by Ingram. All Rights Reserved. |