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An Introduction to Magnetohydrodynamics. Cambridge Texts in Applied Mathematics Part No. 25

  • ID: 3095105
  • Book
  • March 2001
  • 452 Pages
  • Cambridge University Press
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Magnetic fields influence many natural and man-made flows. They are routinely used in industry to heat, pump, stir and levitate liquid metals. There is the terrestrial magnetic field which is maintained by fluid motion in the earth's core, the solar magnetic field, which generates sunspots and solar flares, and the galactic field which influences the formation of stars. This is an introductory text on magnetohydrodynamics (MHD) - the study of the interaction of magnetic fields and conducting fluids. This book is intended to serve as an introductory text for advanced undergraduates and postgraduate students in physics, applied mathematics and engineering. The material in the text is heavily weighted towards incompressible flows and to terrestrial (as distinct from astrophysical) applications. The final sections of the text also contain an outline of the latest advances in the metallurgical applications of MHD and so are relevant to professional researchers in applied mathematics, engineering and metallurgy.
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Preface; Part A. The Fundamentals of MHD; Introduction: the aims of part A;
1. A qualitative overview of MHD;
2. The governing equations of electrodynamics;
3. The governing equations of fluid mechanics:

Part I - Fluid flow in the absence of Lorentz forces;

Part II - Incorporating the Lorentz force;
4. Kinematics of MHD: advection and diffusion of a magnetic field;
5. Dynamics at low magnetic Reynolds numbers:

Part I - Suppression of motion;

Part II - Generation of motion;

Part III - Boundary layers;
6. Dynamics at moderate to high magnetic Reynolds number;
7. MHD turbulence at low and high magnetic Reynolds number; Part B. Applications in Engineering and Metallurgy:
8. Magnetic stirring using rotating fields;
9. Magnetic damping using static fields;
10. Axisymmetric flows driven by the injection of current;
11. MHD instabilities in reduction cells;
12. High-frequency fields: magnetic levitation and induction heating; Appendices; Bibliography; Index.
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P. A. Davidson University of Cambridge.
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