Lecture Notes in Physics

With an Appendix on Extended MHD

By: Dalton D. Schnack

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Hardcover | 26 August 2009

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340 Pages

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Magnetohydrodynamics, or MHD, is a theoretical way of describing the statics and dynamics of electrically conducting uids. The most important of these uids occurring in both nature and the laboratory are ionized gases, called plasmas. These have the simultaneous properties of conducting electricity and being electrically charge neutral on almost all length scales. The study of these gases is called plasma physics. MHD is the poor cousin of plasma physics. It is the simplest theory of plasma dynamics. In most introductory courses, it is usually afforded a short chapter or lecture at most: Alfven ´ waves, the kink mode, and that is it. (Now, on to Landau damping!) In advanced plasma courses, such as those dealing with waves or kinetic theory, it is given an even more cursory treatment, a brief mention on the way to things more profound and interesting. (It is just MHD! Besides, real plasma phy- cists do kinetic theory!) Nonetheless, MHD is an indispensable tool in all applications of plasma physics.

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From the reviews: "The present book ! is a set of lectures taught by the author at the University of Wisconsin, Madison. ! the monograph is extremely pleasant to read, examples are well chosen and illuminating, and the ultimate aim of interesting students in the field of MHD will most likely be successful." (Manuel Nunez Jimenez, Mathematical Reviews, Issue 2011 j)

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You Can Find This Book In

Non-Fiction Engineering & Technology Mechanical Engineering & Materials Materials Science Mechanics of Fluids Hydraulics & Pneumatics Science Physics Electricity Applied Physics Geophysics Quantum Physics & Quantum Mechanics & Quantum Field Theory

Astrophysics Nuclear Physics Science in General Energy Technology & Engineering Nuclear Power & Engineering Other Technologies & Applied Sciences Space Science

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Paperback

Published: 14th March 2012

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Introduction	p. 1
Review of Scalars, Vectors, Tensors, and Dyads	p. 5
Mass Conservation and the Equation of Continuity	p. 19
The Equation of Motion	p. 25
Energy Flow	p. 31
The Electromagnetic Field	p. 35
Closures	p. 39
Conservation Laws	p. 43
Ideal MHD and the Frozen Flux Theorem	p. 49
Resistivity and Viscosity	p. 55
Similarity Scaling	p. 65
The Wöltjer Invariants of Ideal MHD, Topological Invariance, Magnetic and Cross-Helicity	p. 71
Reduced MHD	p. 77
Equilibrium: General Considerations-The Virial Theorem	p. 85
Simple MHD Equilibria	p. 91
	p. oloidal Beta
"Force-Free" Fields	p. 103
Toroidal Equilibrium; The Grad-Shafranov Equation	p. 107
Behavior of Small Displacements in Ideal MHD	p. 121
Linearized Equations and the Ideal MHD Force Operator	p. 129
Boundary Conditions for Linearized Ideal MHD	p. 133
Proof that the Ideal MHD Force Operator is Self-Adjoint	p. 137
Waves in a Uniform Medium: Special Cases	p. 141
Waves in a Uniform Medium: Arbitrary Angle of Propagation	p. 147
The Calculus of Variations and the Ideal MHD Energy Principle	p. 153
Examples of the Application of the Energy Principle	p. 159
The Rayleigh-Ritz Technique for Estimating Eigenvalues	p. 167
The Gravitational Interchange Mode or g-Mode	p. 171
Comments on the Energy Principle and the Minimizing Eigenfunction	p. 179
Examples of the Application of the Energy Principle to Cylindrical Equilibria	p. 183
A Very Brief and General Tour of Suydam Analysis for Localized Interchange Instabilities	p. 193
Magnetic Reconnection	p. 197
Steady Reconnection: The Sweet-Parker Problem	p. 201
Resistive Instabilities: The Tearing Mode	p. 205
Resistive Instabilities: Closing Remarks	p. 213
Turbulence	p. 219
MHD Relaxation: Magnetic Self-Organization	p. 241
Dynamos: Magnetic Field Generation and Maintenance	p. 261
Appendix	p. 283
Fluid Models of Magnetized Plasmas	p. 285
Bibliography	p. 317
Index	p. 319
Table of Contents provided by Ingram. All Rights Reserved.

Lecture Notes in Physics

With an Appendix on Extended MHD

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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