Magnetohydrodynamics with Hydrodynamics

Preface One • Techniques 1:1 The Development of the Subject 1:2 Dimensional Analysis 1:3 Vector Analysis 1:4 Normal Modes of Oscillation and Instability 1:5 Variational Methods and Instability 1:6 Linearizing an Expression 1:7 Tensors Exercises ITwo • Fundamental Ideas in Hydrostatics and Hydrodynamics 2:1 Introduction 2:2 The Equations of Inviscid Hydrodynamics 2:3 Hydrostatics and the Equilibrium of Gases 2:4 Steady Motion of Incompressible Inviscid Liquids 2:5 Viscous Motion 2:6 Compressible Fluids 2:7 Surface Waves 2:8 Special References for Chapter II Exercises IIThree • Electromagnetic Effects 3:1 Maxwell's Equations 3:2 The Lorentz Force and Its Transformations 3:3 Ohm's Law 3:4 The Induction Equation 3:5 The Mechanical Equations 3:6 The Poynting Vector 3:7 The Boundary Conditions 3:8 Simplification of the Magnetohydrodynamic Equations By Dimensional Analysis 3:9 The Motion of Tubes of Force in a Perfectly Conducting Medium 3:10 Dynamical Principles Exercises ΙΠFour • Motion of a Fluid in a Uniform Magnetic Field 4:1 Alfvén Waves 4:2 Reflection and Transmission of Alfvén Waves at a Discontinuity in the Density 4:3 The Acoustic and Hydromagnetic Modes of Wave Propagation in an Infinitely Conducting Plasma 4:4 Hydromagnetic Oscillations 4:5 Fitting an External Magnetic Field 4:6 Dispersion of Surface Currents When There Is a Normal Magnetic Field 4:7 Effects of Finite Conductivity on Hydromagnetic Waves 4:8 Hydromagnetic Waves in a Uniformly Rotating Liquid Exercises IVFive • Steady States and Equilibrium Configurations 5:1 Magnetohydrostatic Equilibrium 5:2 Simple Equilibrium States 5:3 A Variational Property of the Magnetic Field 5:4 Similarities between Magnetohydrostatic Equilibria and Hydrodynamic Steady States 5:5 Magnetohydrodynamic Steady States of an Inviscid Infinitely Conducting Fluid 5:6 Corpuscular Flux Problems 5:7 Laminar Flow of a Conducting Viscous Liquid between Parallel Walls with a Transverse Magnetic Field Exercises V References for Chapters III, IV and V Index