Synopses & Reviews
PRACTICAL SOLUTIONS TO DIFFUSION-RELATED PROBLEMS
The Diffusion Handbook: Applied Solutions for Engineers is the 2011 recipient of the R.R. Hawkins Award, the top prize of the Association of American Publishers' PROSE Awards, the highest recognitions in the world of professional and scholarly publishing. The book is also the winner of the 2011 PROSE Award for Excellence in Physical Sciences & Mathematics and the Engineering & Technology category award.
The Diffusion Handbook provides more than 1,000 ready-made solutions to boundary-value problems associated with Dirichlet, Neumann, and Robin boundary conditions. The book also offers variations, including: Subdivided systems where the properties of each continuum are uniform but discontinuous at the interface Solutions involving boundary conditions of the mixed type, where the function is prescribed over part of the boundary and its normal derivative over the remaining part Problems that involve space- and time-dependent boundary conditions
All semi-analytic solutions presented in this practical resource are accompanied by prescriptions for numerical computation. The diffusion coefficient and the initial and boundary conditions used in this book apply to fluid flow in a porous medium. All solutions can be equally applied to problems in heat conduction and mass transfer.
Coverage includes: Integral transforms and their inversion formulae Infinite and semi-infinite continua Bounded continuum Infinite and semi-infinite lamella Rectangle Quadrant layer and octant layer Cuboid Infinite and semi-infinite cylindrical continua Bounded cylindrical continuum Wedge-shaped infinite and semi-infinite continua Wedge-shaped bounded continuum Wedge
The book will become an invaluable component of every institutional and research center library.......it would be highly unlikely that such a book would ever be written or published again -Frederick Dylla, American Institute of Physics.
Synopsis
This compendium of analytical solutions is intended to serve as a handbook or research level course for Petroleum, Chemical, Mechanical, Civil or Electrical engineers and applied scientists. The book, comprising over one thousand solutions, has been written specially for post-graduate students and practitioners in the industry who are searching for ready-made solutions to practical problems.
The primary focus of this book is to catalogue solutions to boundary-value problems associated with Dirichlet, Neumann, and Robin boundary conditions. It also offers some variations that are of practical use to the industry. These variations include, subdivided systems where the properties of each continuum are uniform but discontinuous at the interface, solutions involving boundary conditions of the mixed type, where the function is prescribed over part of the boundary and its normal derivative over the remaining part, and problems that involve space and time-dependent boundary conditions. All semi-analytic solutions presented in this book are accompanied by prescriptions for numerical computation.
The diffusion coefficient and the initial and boundary conditions used in this book apply to fluid flow in a porous medium. Nonetheless, all solutions can be equally applied to problems in heat conduction and mass transfer.
Synopsis
Practical Solutions to Diffusion-Related Problems
Winner of the 2011 R.R. Hawkins Award, the top prize of the Association of American Publishers' PROSE Awards, the highest recognitions in the world of professional and scholarly publishing. The book is also the winner of the 2011 PROSE Award for Excellence in Physical Sciences & Mathematics and the Engineering & Technology category award.
"The book will become an invaluable component of every institutional and research center library.......it would be highly unlikely that such a book would ever be written or published again" - Frederick Dylla, American Institute of Physics.
The Diffusion Handbook provides more than 1,000 ready-made solutions to boundary-value problems associated with Dirichlet, Neumann, and Robin boundary conditions. The book also offers variations, including:
- Subdivided systems where the properties of each continuum are uniform but discontinuous at the interface
- Solutions involving boundary conditions of the mixed type, where the function is prescribed over part of the boundary and its normal derivative over the remaining part
- Problems that involve space- and time-dependent boundary conditions
All semi-analytic solutions presented in this practical resource are accompanied by prescriptions for numerical computation. The diffusion coefficient and the initial and boundary conditions used in this book apply to fluid flow in a porous medium. All solutions can be equally applied to problems in heat conduction and mass transfer.
Coverage includes:
- Integral transforms and their inversion formulae
- Infinite and semi-infinite continua
- Bounded continuum
- Infinite and semi-infinite lamella
- Rectangle
- Quadrant layer and octant layer
- Cuboid
- Infinite and semi-infinite cylindrical continua
- Bounded cylindrical continuum
- Wedge-shaped infinite and semi-infinite continua
- Wedge-shaped bounded continuum
- Wedge
About the Author
Michael Thambynayagam has a Ph.D. in chemical engineering from the University of Manchester, England. He is Director of Technology and Senior Adviser at the Schlumberger headquarters in Sugar Land, Texas. Dr. Thambynayagam has been granted a number of patents in technologies related to petroleum engineering and has published generously in the scientific literature. He is one of the leading experts in the world on the topic, and his expertise derives from a long career in dealing with important practical and industrial problems covered in this book.
Table of Contents
Chapter 1. Diffusion mode of transference of heat, mass and pressure;
Chapter 2. Integral transforms and their inversion formulae;
Chapter 3. Infinite and semi-infinite continuums;
Chapter 4. Bounded continuum;
Chapter 5. Infinite and semi-infinite (Quadrant) continuums;
Chatper 6. Infinite and semi-infinite lamella;
Chapter 7. Rectangle;
Chapter 8. Infinite and semi-infinite (Octant) continuums;
Chapter 9. Quadrant Layer: Infinite and semi-infinite continuums;
Chapter 10. Octant Layer: Infinite and semi-infinite continuums;
Chapter 11. Cuboid;
Chapter 12. Infinite and semi-infinite cylindrical continuums;
Chapter 13. Bounded cylindrical continuums;
Chapter 14. Infinite and semi-infinite cylindrical continuums;
Chapter 15. Bounded cylindrical continuum;
Chapter 16. Infinite and semi-infinite cylindrical continuums;
Chapter 17. Bounded cylindrical continuum;
Chapter 18. Infinite and semi-infinite cylindrical continuums. The continuum is also either infinite or semi-infinite in z;
Chapter 19. Infinite and semi-infinite cylindrical continuums bounded by the planes z = 0 and z = d;
Chapter 20. Bounded cylindrical continuum. The independent variable z is either infinite or semi-infinite;
Chapter 21. Bounded cylindrical continuum. The continuum is also bounded by the planes z = 0 and z = d;
Chapter 22. Infinite and semi-infinite cylindrical continuums;
Chapter 23. Infinite and semi-infinite cylindrical continuums bounded by the planes z = 0 and z = d;
Chapter 24. Bounded cylindrical continuum. The independent variable z is either infinite or semi-infinite;
Chapter 25. Bounded cylindrical continuum. The continuum is also bounded by the lxviii planes z = 0 and z = d;
Appendix A. Supplement to Chapter 8;
Appendix B. Supplement to Chapter 9;
Appendix C. Supplement to Chapter 10;
Appendix D. Supplement to Chapter 11;
Appendix E. Table of Integrals;
Appendix F. General properties and a table of Laplace transforms