Magnetohydrodynamics

Front cover......Page 1
Volume in Series......Page 2
Series......Page 3
Title page......Page 4
Copyright page......Page 5
Preface......Page 6
CONTENTS......Page 8
1. Introduction......Page 10
2. The pre-Maxwell equations in a conductor at rest......Page 17
3. The electromagnetic field in a moving rigid conductor......Page 21
4. A moving deformable conductor......Page 26
5. Energy of the electromagnetic field......Page 28
6. The basic equations of inviscid magnetohydrodynamics......Page 31
7. The basic equations of viscous magnetohydrodynamics......Page 34
8. Thermodynamical considerations......Page 38
9. Summary of basic magnetohydrodynamic equations......Page 43
10. Basic properties of the magnetic field......Page 46
11. The Alfvén wave......Page 58
12. Examples......Page 62
13. General considerations......Page 71
14. Integral form of the pre-Maxwell equations......Page 74
15. Electromagnetic boundary conditions......Page 76
16. The equations of incompressible magnetohydrodynamic flow......Page 85
17. Parallel steady flow......Page 87
18. One-dimensional steady viscous flow......Page 93
19. Hartmann flow......Page 99
20. Couette flow......Page 104
21. Temperature distribution......Page 108
22. Examples......Page 112
23. Definitions and basic ideas......Page 118
24. Rays and characteristic surfaces......Page 128
25. Magnetohydrodynamic characteristic equations......Page 131
26. Magnetohydrodynamic waves......Page 138
27. Magnetohydrodynamic wavefront diagrams......Page 142
28. Examples......Page 155
29. One-dimensional wave propagation......Page 164
30. Contact surfaces and transverse simple waves......Page 166
31. Fast and slow simple waves......Page 169
32. The singularities of the equation connecting a and ß......Page 172
33. Generalised Riemann invariants......Page 176
34. The variation of physical quantities across fast and slow waves......Page 180
36. Elementary applications......Page 187
37. Examples......Page 200
38. General considerations......Page 204
39. Magnetohydrodynamic shocks......Page 208
40. The generalised Hugoniot condition......Page 212
41. The compressive nature of magnetohydrodynamic shocks......Page 215
42. Magnetohydrodynamic shock wave classification......Page 220
43. Magnetohydrodynamic shock stability......Page 227
44. Examples......Page 229
45. Ordinary gas dynamic characteristics in steady flow......Page 232
46. Magnetohydrodynamic steady parallel flow......Page 237
47. Geometrical construction of spatial discontinuities in parallel flow......Page 240
48. Geometrical construction of spatial discontinuities in arbitrary two-dimensional flow......Page 244
49. Discontinuities in the static case......Page 246
50. Examples......Page 252
Solutions to Examples......Page 254
Bibliography......Page 256
Index......Page 258
Back cover......Page 262