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

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).

This classic, now in paperback, discusses the mathematical theory of viscosity, thermal conduction and diffusion in non-uniform gases, based on the solutions of the Maxwell-Boltzmann equations. The theories of Chapman and Enskog, the quantum theory of collisions and the theory of conduction and diffusion in ionized gases in electric and magnetic fields are also detailed.