Introduction to Magnetohydrodynamics

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.