Oxford Science Publications: The Mathematics of Diffusion, Second Edition (Softcover)
Oxford Science Publications: The Mathematics of Diffusion, Second Edition (Softcover)
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From the back cover: "Though it incorporates much new material, this second edition preserves the general character of the book in providing a collection of mathematical solutions of the differential equations of diffusion and describing how these solutions may be obtained. As such, it is will appeal mainly to research workers and post-graduate students concerned with heat and mass transfer, whether in chemistry (especially polymer chemistry), biochemistry, biology, medicine, physics, or mathematics."There are two completely new chapters. In one are assembled some of the mathematical models of non-Fickian or anomalous diffusion occurring mainly in solvent polymer systems in the glassy state. The other attempts a systematic review of diffusion in heterogeneous media, both laminates and particulates. A succession of improved solutions are described to the problem of diffusion in a medium in which are embedded discrete particles with different diffusion properties.
"The accounts given in the previous edition of such important topics as concentration-dependent diffusion, time-lag methods, moving boundaries, and numerical methods of solution have been extensively revised.
"This book also includes a brief 'translator's guide' for those who find difficulty in converting mathematical solutions of heat-flow problems into diffusion language."
CONTENTS
- 1. The diffusion equation
- 2. Methods of solution when the diffusion coefficient is constant
- 3. Infinite and semi-infinite media
- 4. Diffusion in a plane sheet
- 5. Diffusion in a cylinder
- 6. Diffusion in a sphere
- 7. Concentration-dependent diffusion: methods of solution
- 8. Numerical methods
- 9. Some calculated results for variable diffusion coefficients
- 10. The definition and measurement of diffusion coefficients
- 11. Non-Fickian diffusion
- 12. Diffusion in heterogeneous media
- 13. Moving boundaries
- 14. Diffusion and chemical reaction
- 15. Simultaneous diffusion of heat and moisture
- Tables
- References
- Author index
- Subject index
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PUBLISHER: Oxford University Press
ISBN-13: 9780198534112
ISBN-10: 0198534116