magnetic fields influence many natural and man-made flows.they are routinely used in industry to heat， pump， stir andlevitate liquid metals.there is the terrestrial magnetic fieldwhich is maintained by fluid motion in the earth's core， the solarmagnetic field which generates sunspots and solar flares， and thegalactic field which influences the formation of stars.this is anintroductory text on magnetohydrodynamics （mhd） - the study of theinteraction of magnetic fields and conducting fluids.this book is intended to serve as an introductory text foradvanced undergraduate and postgraduate students in physics，applied mathematics and engineering. the material in the text isheavily weighted towards incompressible flows and to terrestrial（as distinct from astrophysical） applications. the final sectionsof the text also contain an outline of the latest advances in themetallurgical applications of mhd and so are relevant toprofessional researchers in applied mathematics， engineering andmetallurgy.
作者簡介
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圖書目錄
preface 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 2.7 on the remarkable nature of faraday and of faraday'slaw 2.7.1 an historical footnote 2.7.2 an important kinematic equation 2.7.3 the full significance of faraday's law 2.7.4 faraday's law in ideal conductors: alfvtn's theorem 3 the governing equations of fluid mechanics part 1: fluid flow in the absence of lorentz forces 3.1 elementary concepts 3.1.1 different categories of fluid flow 3.1.2 the navier-stokes equation 3.2 vorticity, angular momentum and the biot-savart law 3.3 advection and diffusion of vorticity 3.3.1 the vorticity equation 3.3.2 advection and diffusion of vorticity: temperature as aprototype 3.3.3 vortex line stretching 3.4 kelvin's theorem, helmholtz's laws and helieity 3.4.1 kelvin's theorem and helmholtz's laws 3.4.2 helicity 3.5 the prandti-batchelor theorem 3.6 boundary layers, reynolds stresses and turbulencemodels 3.6.1 boundary layers 3.6.2 reynolds stresses and turbulence models 3.7 ekman pumping in rotating flows part 2: incorporating the lorentz force 3.8 the full equations of mhd and key dimensionless groups 3.9 maxwell stresses 4 kinematics of mhd: advection and diffusion of a magneticfield 5 dynamics at low magnetic reynolds numbers 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 metallrugy 8 introduction: an overview of metallurgical applications 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 inductionheating appendices bibliography subject index
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