Gaskinetic Theory

• Dedication; Preface; 1. Introduction; 2. Brief history of gaskinetic theory; 3. The road to gaskinetic theory in science and engineering; 4. Basic assumptions of gaskinetic theory; 5. Notations; 6. Solid angles and curvilinear coordinates; 7. Problems; 8. References; 9. Equilibrium kinetic theory; 10. Distribution functions; 11. Phase-space distributions and macroscopic averages; 12. The Maxwell–Boltzmann distribution; 13. Determination of the Lagrange Multiplier; 14. Elementary properties of the Maxwell–Boltzmann distribution; 15. Specific heats of gases; 16. Problems; 17. References; 18. Binary collisions; 19. Kinematics of two particle collisions; 20. Statistical description of collisional effects; 21. Relations between statistical and molecular quantities; 22. Problems; 23. References; 24. Elementary transport theory; 25. Molecular effusion; 26. Hydrodynamic transport coefficients; 27. Mean free path method; 28. Flow in a tube; 29. Problems; 30. References; 31. The Boltzmann equation; 32. Derivation of the Boltzmann equation; 33. The H-theorem and equilibrium distributions; 34. Approximate collision terms; 35. Non-equilibrium solutions of the Boltzmann equation; 36. Problems; 37. References; 38. Generalized transport equations; 39. Moments of the Boltzmann equation; 40. The Euler equations; 41. The 20 moment equations; 42. The 13 moment approximation and the Navier–Stokes equations; 43. Collision terms for multispecies gases; 44. Simplified sets of transport equations; 45. Problems; 46. References; 47. Free molecular aerodynamics; 48. Transfer of mass, momentum, and translational energy; 49. Free molecular heat transfer; 50. Free molecular aerodynamic forces; 51. Problems; 52. References; 53. Shock waves; 54. Hydrodynamic description; 55. Kinetic description of shocks: the Mott–Smith model; 56. Problems; 57. References; 58. Appendices; 59. Physical constants; 60. Vector and tensor identities; 61. Differential operators in spherical and cylindrical coordinates; 62. Some fundamental integrals; 63. Some special functions; 64. References; Index.

"This is a well-organized, clearly-written, upper-division undergraduate or beginning graduate level textbook. The material content, its organization, its concise but instructive mathematical developments, the care and attention given to physical principles, and its explicit guidance to other well-selected sources for supplemental information indicate that the book will also serve as a convenient research reference work....[T]he subject material content is remarkably comprehensive....I recommend Gaskinetic Theory both for individual acquisition and for academic and institutional library purchase." A.C. Buckingham, Applied Mechanics Review