- 原书名：An Introduction to Magnetohydrodynamics (Cambridge Texts in Applied Mathematics)
- 原出版社： Cambridge University Press
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 undergraduate 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.
Part A: The Fundamentals of MHD
Introduction: The Aims of Part A
1 A Qualitative Overview of MHD
1.1 What is MHD?
1.2 A Brief History of MHD
1.3 From Electrodynamics to MHD: A Simple Experiment
1.3.1 Some important parameters in electrodynamics and MHD
1.3.2 A brief reminder of the laws of electrodynamics
1.3.3 A familiar high-school experiment
1.3.4 A summary of the key results for MHD
1.4 Some Simple Applications of MHD
2 The Governing Equations of Eiectrodynamics
2.1 The Electric Field and the Lorentz Force
2.2 Ohm's Law and the Volumetric Lorentz Force
2.3 Ampere's Law
2.4 Faraday's Law in Differential Form
2.5 The Reduced Form of Maxwell's Equations for MHD
2.6 A Transport Equation for B
We, for our part, shall stay with a more conventional format. This work is more of a text than a monograph. Part A (the larger part of the book) is intended to serve as an introductory text for (advanced) undergraduate and post-graduate students in physics, applied mathematics and engineering. Part B, on the other hand, is more of a research monograph and we hope that it will serve as a useful reference for professional researchers in industry and academia. We have at all times attempted to use the appropriate level of mathematics required to expose the underlying phenomena. Too much mathematics can, in our opinion, obscure the interesting physics and .needlessly frighten the student. Conversely, a studious avoidance of mathematics inevitably limits the degree to which the phenomena can be adequately explained.
It is our observation that physics graduates are often well versed in the use of Maxwell's equations, but have only a passing acquaintance with fluid mechanics. Engineering graduates often have the opposite background. Consequently, we have decided to develop, more or less from first principles, those aspects of electromagnetism and fluid mechanics which are most relevant to our subject, and which are often treated inadequately in elementary courses. The material in the text is heavily weighted towards incompressible flows and to engineering (as distinct from astrophysical) applications. There are two reasons for this. The first is that there already exist several excellent texts on astrophysical, geophysical and plasma MHD, whereas texts oriented towards engineering applications are somewhat thinner on the ground. Second, in recent years we have witnessed a rapid growth in the application of MHD to metallurgical processes. This has spurred a great deal of fruitful research, much of which has yet to find its way into textbooks or monographs. It seems timely to summarise elements of this research. We have not tried to be exhaustive in our coverage of the metallurgical MHD, but we hope to have captured the key advances.
The author is indebted to the late D. Crighton, without whose support this text would never have seen the light of day, to H.K. Moffatt and J.C.R. Hunt for their constant advice over the years, to K. Graham for typing the manuscript, and to C. Davidson for her patience. Above all, the author would like to thank Stephen Davidson who painstakingly read each draft, querying every ambiguity and exposing the many inconsistencies in the original text.