磁動力學導論

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