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.
