Magnetohydrodynamics with Hydrodynamics

Magnetohydrodynamics with Hydrodynamics, Volume 1 details various concepts in magnetohydrodynamics as it relates to hydrodynamics. The title first covers the methods and techniques appropriate to an elementary discussion of magnetohydrodynamics, and then proceeds to tackling the fundamental results of fluid dynamics. Next, the selection discusses the electromagnetic effects, along with the motion of a fluid in a uniform magnetic field. In the last chapter, the text talks about steady states and equilibrium configuration. The book will be of great interest to students, researchers, and practitioners of physics and engineering.

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 I

Two • 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 II

Three • 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 ΙΠ

Four • 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 IV

Five • 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