Introduction to Magnetohydrodynamics: 55 (Cambridge Texts in Applied Mathematics, Series Number 55)
Cambridge University Press
Edition: 2, 12/22/2016
EAN 9781316613023, ISBN10: 131661302X
Paperback, 572 pages, 24.6 x 17.5 x 3 cm
Language: English
Magnetohydrodynamics (MHD) plays a crucial role in astrophysics, planetary magnetism, engineering and controlled nuclear fusion. This comprehensive textbook emphasizes physical ideas, rather than mathematical detail, making it accessible to a broad audience. Starting from elementary chapters on fluid mechanics and electromagnetism, it takes the reader all the way through to the latest ideas in more advanced topics, including planetary dynamos, stellar magnetism, fusion plasmas and engineering applications. With the new edition, readers will benefit from additional material on MHD instabilities, planetary dynamos and applications in astrophysics, as well as a whole new chapter on fusion plasma MHD. The development of the material from first principles and its pedagogical style makes this an ideal companion for both undergraduate students and postgraduate students in physics, applied mathematics and engineering. Elementary knowledge of vector calculus is the only prerequisite.
Part I. From Maxwell's Equations to Magnetohydrodynamics
1. A qualitative overview of MHD
2. The governing equations of electrodynamics
3. A first course in fluid dynamics
4. The governing equations of MHD
Part II. The Fundamentals of Incompressible MHD
5. Kinematics – advection, diffusion and intensification of magnetic fields
6. Dynamics at low magnetic Reynolds number
7. Dynamics at high magnetic Reynolds number
8. An introduction to turbulence
9. MHD turbulence at low and high magnetic Reynolds number
Part III. Applications in Engineering and Materials
10. The world of metallurgical MHD
11. The generation and suppression of motion in castings
12. Axisymmetric flows driven by the injection of current
13. MHD instabilities in aluminium reduction cells
Part IV. Applications in Physics
14. The geodynamo
15. Stellar magnetism
16. Plasma containment in fusion reactors
Appendix A. Vector identities and theorems
Appendix B. Physical properties of liquid metals
References
Index.