The Mathematical Theory of Non-uniform Gases
An Account of the Kinetic Theory of Viscosity, Thermal Conduction and Diffusion in Gases

Sydney Chapman (Author), T. G. Cowling (Author), C. Cercignani (Foreword by)

9780521408448, Cambridge University Press

Paperback, published 25 January 1991

448 pages
23.1 x 15.4 x 2.8 cm, 0.66 kg

This classic book, now re-issued in paperback, presents a detailed account of the mathematical theory of viscosity, thermal conduction and diffusion in non-uniform gases based on the solution of the Maxwell–Boltzmann equations. The theory of Chapman and Enskog, describing work on dense gases, quantum theory of collisions and the theory of conduction and diffusion in ionized gases in the presence of electric and magnetic fields, is extended in the later chapters. The third edition was first published in 1970 and included revisions to take account of extensions of the theory to fresh molecular models and of new methods used in discussing dense gases and plasmas. This reprint will therefore be of value to mathematicians, theoretical physicists and chemical engineers interested in gas theory and its applications.

Foreword
Introduction
1. Vectors and tensors
2. Properties of a gas: definitions and theorems
3. The equations of Boltzmann and Maxwell
4. Boltzmann's H-theorem and the Maxwellian velocity-distribution
5. The free path, the collision-frequency and persistence of velocities
6. Elementary theories of the transport phenomena
7. The non-uniform state for a simple gas
8. The non-uniform state for a binary gas-mixture
9. Viscosity, thermal conduction, and diffusion: general expressions
10. Viscosity, thermal conduction, and diffusion: theoretical formulae for special molecular models
11. Molecules with internal energy
12
Viscosity: comparison of theory with experiment
13. Thermal conductivity: comparison of theory with experiment
14. Diffusion: comparison of theory with experiment
15. The third approximation to the velocity-distribution function
16. Dense gases
17. Quantum theory and the transport phenomena
18. Multiple gas mixtures
19. Electromagnetic phenomena in ionized gases
Historical summary
Name index
Subject index
References to numerical data for particular gases (simple and mixed).

Subject Areas: Applied mathematics [PBW]