Analysis of Transport Phenomena

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  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 2011-10-21
  • Publisher: Oxford University Press

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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. FEATURES: * Explains classical methods and results, preparing students for engineering practice and more advanced study or research * Covers everything from heat and mass transfer in stationary media to fluid mechanics, free convection, and turbulence * Improved organization, including the establishment of a more integrative approach * Emphasizes concepts and analytical techniques that apply to all transport processes * Mathematical techniques are introduced more gradually to provide students with a better foundation for more complicated topics discussed in later chapters NEW TO THIS EDITION: * Expanded coverage of several topics, including: order-of-magnitude estimation and scaling analysis in model simplification; solution methods for differential equations; simultaneous heat and mass transfer; and electrokinetic phenomena * 30% more problems and worked examples,ranging from traditional chemical engineering topics in reaction engineering, separations, and heat transfer to applications in bioengineering, chemical kinetics, combustion, electrochemistry, materials processing, and membrane science * New Chapter 15, "Transport in Electrolyte Solutions,"provides expanded coverage of ion transport in liquids * New Appendix B, "Ordinary Differential Equations and Special Functions,"provides a concise review that makes the mathematics more self-contained * New Instructor's Resource CD-ROM,available to adopters of the second edition, includes all of the figures and all of the solutions to the end-of-chapter exercises from the text

Author Biography

William M. Deen is the Carbon P. Dubbs Professor of Chemical Engineering at the Massachusetts Institute of Technology, where he has been a member of the faculty since 1976. His research interests center on transport processes in biological systems. He is the author or coauthor of approximately two hundred publications.

Table of Contents

Prefacep. xiii
List of Symbolsp. xix
Diffusive Fluxes and Material Propertiesp. 1
Introductionp. 1
Basic Constitutive Equationsp. 2
Diffusivities for Energy, Species, and Momentump. 7
Magnitudes of Transport Coefficientsp. 8
Molecular Interpretation of Transport Coefficientsp. 13
Limitations on Length and Time Scalesp. 19
Referencesp. 22
Problemsp. 23
Fundamentals of Heat and Mass Transferp. 26
Introductionp. 26
General Forms of Conservation Equationsp. 27
Conservation of Massp. 34
Conservation of Energy: Thermal Effectsp. 36
Heat Transfer at Interfacesp. 38
Conservation of Chemical Speciesp. 41
Mass Transfer at Interfacesp. 43
Molecular View of Species Conservationp. 44
Referencesp. 48
Problemsp. 48
Formulation and Approximationp. 53
Introductionp. 53
One-Dimensional Examplesp. 54
Order-of-Magnitude Estimation and Scalingp. 69
"Dimensionality" in Modelingp. 77
Time Scales in Modelingp. 87
Referencesp. 97
Problemsp. 98
Solution Methods Based on Scaling Conceptsp. 113
Introductionp. 113
Similarity Methodp. 114
Regular Perturbation Analysisp. 120
Singular Perturbation Analysisp. 127
Referencesp. 141
Problemsp. 141
Solution Methods for Linear Problemsp. 151
Introductionp. 151
Properties of Linear Boundary-Value Problemsp. 152
Finite Fourier Transform Methodp. 157
Basis Functionsp. 162
Fourier Seriesp. 170
FFT Solutions for Rectangular Geometriesp. 174
FFT Solutions for Cylindrical Geometriesp. 184
FFT Solutions for Spherical Geometriesp. 190
Point-Source Solutionsp. 200
More on Self-Adjoint Eigenvalue Problems and FFT Solutionsp. 204
Referencesp. 209
Problemsp. 210
Fundamentals of Fluid Mechanicsp. 220
Introductionp. 220
Conservation of Momentump. 220
Total Stress, Pressure, and Viscous Stressp. 226
Fluid Kinematicsp. 230
Constitutive Equations for Viscous Stressp. 236
Fluid Mechanics at Interfacesp. 243
Force Calculationsp. 250
Stream Functionp. 255
Dimensionless Groups and Flow Regimesp. 261
Referencesp. 265
Problemsp. 265
Unidirectional and Nearly Unidirectional Flowp. 270
Introductionp. 270
Steady Flow with a Pressure Gradientp. 271
Steady Flow with a Moving Surfacep. 277
Time-Dependent Flowp. 279
Limitations of Exact Solutionsp. 282
Nearly Unidirectional Flowp. 288
Referencesp. 300
Problemsp. 300
Creeping Flowp. 315
Introductionp. 315
General Features of Low Reynolds Number Flowp. 315
Unidirectional and Nearly Unidirectional Solutionsp. 319
Stream-Function Solutionsp. 324
Point-Force Solutionsp. 331
Particles and Suspensionsp. 334
Corrections to Stokes' Lawp. 343
Referencesp. 350
Problemsp. 351
Laminar Flow at High Reynolds Numberp. 361
Introductionp. 361
General Features of High Reynolds Number Flowp. 362
Irrotational Flowp. 371
Boundary Layers at Solid Surfacesp. 378
Internal Boundary Layersp. 387
Referencesp. 393
Problemsp. 394
Forced-Convection Heat and Mass Transfer in Confined Laminar Flowsp. 401
Introductionp. 401
Péclet Numberp. 402
Nusselt and Sherwood Numbersp. 406
Entrance Regionp. 411
Fully Developed Regionp. 415
Conservation of Energy: Mechanical Effectsp. 423
Taylor Dispersionp. 427
Referencesp. 433
Problemsp. 434
Forced-Convection Heat and Mass Transfer in Unconfined Laminar Flowsp. 440
Introductionp. 440
Heat and Mass Transfer in Creeping Flowp. 441
Heat and Mass Transfer in Laminar Boundary Layersp. 446
Scaling Laws for Nusselt and Sherwood Numbersp. 451
Referencesp. 457
Problemsp. 458
Transport in Buoyancy-Driven Flowp. 463
Introductionp. 463
Buoyancy and the Boussinesq Approximationp. 464
Confined Flowsp. 466
Dimensional Analysis and Boundary-Layer Equationsp. 474
Unconfined Flowsp. 478
Referencesp. 485
Problemsp. 486
Transport in Turbulent Flowp. 491
Introductionp. 491
Basic Features of Turbulencep. 491
Time-Smoothed Equationsp. 499
Eddy Diffusivity Modelsp. 505
Other Approaches for Turbulent-Flow Calculationsp. 518
Referencesp. 524
Problemsp. 525
Simultaneous Energy and Mass Transfer and Multicomponent Systemsp. 529
Introductionp. 529
Conservation of Energy: Multicomponent Systemsp. 530
Simultaneous Heat and Mass Transferp. 532
Introduction to Coupled Fluxesp. 545
Stefan-Maxwell Equationsp. 550
Generalized Diffusion in Dilute Mixturesp. 553
Generalized Stefan-Maxwell Equationsp. 557
Referencesp. 563
Problemsp. 564
Transport in Electrolyte Solutionsp. 573
Introductionp. 573
Formulation of Macroscopic Problemsp. 574
Macroscopic Examplesp. 580
Equilibrium Double Layersp. 585
Electrokinetic Phenomenap. 592
Referencesp. 601
Problemsp. 602
Vectors and Tensorsp. 609
Introductionp. 609
Representation of Vectors and Tensorsp. 609
Vector and Tensor Productsp. 612
Vector-Differential Operatorsp. 617
Integral Transformationsp. 620
Position Vectorsp. 623
Orthogonal Curvilinear Coordinatesp. 625
Surface Geometryp. 634
Referencesp. 638
Ordinary Differential Equations and Special Functionsp. 639
Introductionp. 639
First-Order Equationsp. 640
Equations with Constant Coefficientsp. 641
Bessel and Spherical Bessel Equationsp. 642
Other Equations with Variable Coefficientsp. 647
Referencesp. 650
Indexp. 651
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