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Analysis of Transport Phenomena

Second Edition

William M. Deen

September 2012

ISBN: 9780199740253

624 pages
Paperback
152 x 228mm

In Stock

Topics in Chemical Engineering

Price: £54.99

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Description

Deen's first edition has served as an ideal text for graduate level transport courses within chemical engineering and related disciplines. It has successfully communicated the fundamentals of transport processes to students with its clear presentation and unified treatment of momentum, heat, and mass transfer, and its emphasis on the concepts and analytical techniques that apply to all of these transport processes. This text includes distinct features such as mathematically self-contained discussions and a clear, thorough discussion of scaling principles and dimensional analysis. This new edition offers a more integrative approach, covering thermal conduction and diffusion before fluid mechanics, and introducing mathematical techniques more gradually, to provide students with a better foundation for more advanced problems later on. It also provides a broad range of new, real-world examples and exercises, which reflects the current shifts of emphasis within chemical engineering practice and research to biological applications, microsystem technologies, membranes, think films, and interfacial phenomena. Finally, this edition includes a new appendix with a concise review of how to solve the differential equations most commonly encountered transport problems.

  • Explains classical methods and results, preparing students both for engineering practice and for more advanced study or research.
  • Comprehensive treatment that presents a unified discussion of the three main areas of transport phenomena.
  • Emphasizes concepts and analytical techniques that apply to all transport processes.
  • 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.
  • Mathematical techniques will be introduced more gradually to provide students with a better foundation for more complicated topics discussed in later chapters.
  • 25% new examples and exercises, reflecting shifts in chemical engineering such as the increasing prominence of biological applications, the growing array of microsystem technologies, and the intense interests in membranes, thin films, and interfacial phenomena.
  • Covers more material than Leal's book, and has more real-world examples than Bird, Stewart, and Lightfoot.
  • New Appendix B "Ordinary Differential Equations and Special Functions" provides a concise review of how to solve the differential equations most commonly encountered in transport problems.
  • New to this edition:
  • Improved organization, including the establishment of a more integrative approach.
  • Mathematical techniques will be introduced more gradually to provide students with a better foundation for more complicated topics discussed in later chapters.
  • 25% new examples and exercises, reflecting shifts in chemical engineering such as the increasing prominence of biological applications, the growing array of microsystem technologies, and the intense interests in membranes, thin films, and interfacial phenomena.
  • Covers more material than Leal's book, and has more real-world examples than Bird, Stewart, and Lightfoot.
  • New Appendix B "Ordinary Differential Equations and Special Functions" provides a concise review of how to solve the differential equations most commonly encountered in transport problems.

New to this edition

  • Based largely on teaching experience with the first edition, the entire text has been reviewed in detail, and innumerable minor revisions made to improve clarity.
  • There is a larger set of introductory examples (Chapter 3).
  • The presentation of similarity and perturbation methods is now a separate chapter (Chapter 4). Approximate integral solutions are no longer discussed here, but are still illustrated later in entrance-region and boundary-layer examples.
  • A new chapter is devoted to transport in electrolyte solutions (Chapter 15).
  • The solution of ordinary differential equations is reviewed in a new appendix (Appendix B), which also summarizes the properties of commonly encountered special functions.
  • Overall, there are approximately 40 new worked examples in the text and 80 new end-of-chapter problems.

About the Author(s)

William M. Deen, Professor, Massachusetts Institute of Technology

Professor William M. Deen is the Carbon P. Dubbs Professor of Chemical Engineering at the Massachusetts Institute of Technology.

Table of Contents

    Preface
    List of Symbols
    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 INTERPRETATION OF TRANSPORT COEFFICIENTS
    1.6 LIMITATIONS ON LENGTH AND TIME SCALES
    References
    Problems
    CHAPTER 2. 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: THERMAL EFFECTS
    2.5 HEAT TRANSFER AT INTERFACES
    2.6 CONSERVATION OF CHEMICAL SPECIES
    2.7 MASS TRANSFER AT INTERFACES
    2.8 MOLECULAR VIEW OF SPECIES CONSERVATION
    References
    Problems
    CHAPTER 3. FORMULATION AND APPROXIMATION
    3.1 INTRODUCTION
    3.2 ONE-DIMENSIONAL EXAMPLES
    3.3 ORDER-OF-MAGNITUDE ESTIMATION AND SCALING
    3.4 "DIMENSIONALITY " IN MODELING
    3.5 TIME SCALES IN MODELING
    References
    Problems
    CHAPTER 4. SOLUTION METHODS BASED ON SCALING CONCEPTS
    4.1 INTRODUCTION
    4.2 SIMILARITY METHOD
    4.3 REGULAR PERTURBATION ANALYSIS
    4.4 SINGULAR PERTURBATION ANALYSIS
    References
    Problems
    CHAPTER 5. SOLUTION METHODS FOR LINEAR PROBLEMS
    5.1 INTRODUCTION
    5.2 PROPERTIES OF LINEAR BOUNDARY-VALUE PROBLEMS
    5.3 FINITE FOURIER TRANSFORM METHOD
    5.4 BASIS FUNCTIONS
    5.5 FOURIER SERIES
    5.6 FFT SOLUTIONS FOR RECTANGULAR GEOMETRIES
    5.7 FFT SOLUTIONS FOR CYLINDRICAL GEOMETRIES
    5.8 FFT SOLUTIONS FOR SPHERICAL GEOMETRIES
    5.9 POINT-SOURCE SOLUTIONS
    5.10 MORE ON SELF-ADJOINT EIGENVALUE PROBLEMS AND FFT
    SOLUTIONS
    References
    Problems
    CHAPTER 6. FUNDAMENTALS OF FLUID MECHANICS
    6.1 INTRODUCTION
    6.2 CONSERVATION OF MOMENTUM
    6.3 TOTAL STRESS, PRESSURE, AND VISCOUS STRESS
    6.4 FLUID KINEMATICS
    6.5 CONSTITUTIVE EQUATIONS FOR VISCOUS STRESS
    6.6 FLUID MECHANICS AT INTERFACES
    6.7 FORCE CALCULATIONS
    6.8 STREAM FUNCTION
    6.9 DIMENSIONLESS GROUPS AND FLOW REGIMES
    References
    Problems
    CHAPTER 7. UNIDIRECTIONAL AND NEARLY UNIDIRECTIONAL FLOW
    7.1 INTRODUCTION
    7.2 STEADY FLOW WITH A PRESSURE GRADIENT
    7.3 STEADY FLOW WITH A MOVING SURFACE
    7.4 TIME-DEPENDENT FLOW
    7.5 LIMITATIONS OF EXACT SOLUTIONS
    7.6 NEARLY UNIDIRECTIONAL FLOW
    References
    Problems
    CHAPTER 8. CREEPING FLOW
    8.1 INTRODUCTION
    8.2 GENERAL FEATURES OF LOW REYNOLDS NUMBER FLOW
    8.3 UNIDIRECTIONAL AND NEARLY UNIDIRECTIONAL SOLUTIONS
    8.4 STREAM-FUNCTION SOLUTIONS
    8.5 POINT-FORCE SOLUTIONS
    8.6 PARTICLES AND SUSPENSIONS
    8.7 CORRECTIONS TO STOKES' LAW
    References
    Problems
    CHAPTER 9. LAMINAR FLOW AT HIGH REYNOLDS NUMBER
    9.1 INTRODUCTION
    9.2 GENERAL FEATURES OF HIGH REYNOLDS NUMBER FLOW
    9.3 IRROTATIONAL FLOW
    9.4 BOUNDARY LAYERS AT SOLID SURFACES
    9.5 INTERNAL BOUNDARY LAYERS
    References
    Problems
    CHAPTER 10. FORCED-CONVECTION HEAT AND MASS TRANSFER IN CONFINED LAMINAR FLOWS
    10.1 INTRODUCTION
    10.2 PÉCLET NUMBER
    10.3 NUSSELT AND SHERWOOD NUMBERS
    10.4 ENTRANCE REGION
    10.5 FULLY DEVELOPED REGION
    10.6 CONSERVATION OF ENERGY: MECHANICAL EFFECTS
    10.7 TAYLOR DISPERSION
    References
    Problems
    CHAPTER 11. FORCED-CONVECTION HEAT AND MASS TRANSFER IN UNCONFINED LAMINAR FLOWS
    11.1 INTRODUCTION
    11.2 HEAT AND MASS TRANSFER IN CREEPING FLOW
    11.3 HEAT AND MASS TRANSFER IN LAMINAR BOUNDARY LAYERS
    11.4 SCALING LAWS FOR NUSSELT AND SHERWOOD NUMBERS
    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
    CHAPTER 14. SIMULTANEOUS ENERGY AND MASS TRANSFER AND MULTICOMPONENT SYSTEMS
    14.1 INTRODUCTION
    14.2 CONSERVATION OF ENERGY: MULTICOMPONENT SYSTEMS
    14.3 SIMULTANEOUS HEAT AND MASS TRANSFER
    14.4 INTRODUCTION TO COUPLED FLUXES
    14.5 STEFAN-MAXWELL EQUATIONS
    14.6 GENERALIZED DIFFUSION IN DILUTE MIXTURES
    14.7 GENERALIZED STEFAN-MAXWELL EQUATIONS
    References
    Problems
    CHAPTER 15. TRANSPORT IN ELECTROLYTE SOLUTIONS
    15.1 INTRODUCTION
    15.2 FORMULATION OF MACROSCOPIC PROBLEMS
    15.3 MACROSCOPIC EXAMPLES
    15.4 EQUILIBRIUM DOUBLE LAYERS
    15.5 ELECTROKINETIC PHENOMENA
    References
    Problems
    APPENDIX A. VECTORS AND TENSORS
    A.1 INTRODUCTION
    A.2 REPRESENTATION OF VECTORS AND TENSORS
    A.3 VECTOR AND TENSOR PRODUCTS
    A.4 VECTOR-DIFFERENTIAL OPERATORS
    A.5 INTEGRAL TRANSFORMATIONS
    A.6 POSITION VECTORS
    A.7 ORTHOGONAL CURVILINEAR COORDINATES
    A.8 SURFACE GEOMETRY
    References
    APPENDIX B. ORDINARY DIFFERENTIAL EQUATIONS AND SPECIAL FUNCTIONS
    B.1 INTRODUCTION
    B.2 FIRST-ORDER EQUATIONS
    B.3 EQUATIONS WITH CONSTANT COEFFICIENTS
    B.4 BESSEL AND SPHERICAL BESSEL EQUATIONS
    B.5 OTHER EQUATIONS WITH VARIABLE COEFFICIENTS
    References
    Index

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