Second Edition

**William M. Deen**

06 September 2012

ISBN: 9780199740253

624 pages

Paperback

152 x 228mm

In Stock

Topics in Chemical Engineering

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.

**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.

- Preface

List of Symbols

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

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

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

4.1 INTRODUCTION

4.2 SIMILARITY METHOD

4.3 REGULAR PERTURBATION ANALYSIS

4.4 SINGULAR PERTURBATION ANALYSIS

References

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

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

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

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

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

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

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

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

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

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

15.1 INTRODUCTION

15.2 FORMULATION OF MACROSCOPIC PROBLEMS

15.3 MACROSCOPIC EXAMPLES

15.4 EQUILIBRIUM DOUBLE LAYERS

15.5 ELECTROKINETIC PHENOMENA

References

Problems

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

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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