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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
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PRACTICAL SOLUTIONS TO DIFFUSION-RELATED PROBLEMS
The Diffusion Handbook: Applied Solutions for Engineers 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; and problems that involve space- and time-dependent boundary conditions.
All semi-analytic solutions presented in this practical resource are accompanied by prescriptions for numerical computations. 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
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