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**Introduction to Magnetohydrodynamics (2nd Ed)

by P. A. Davidson

Cambridge University Press | September 2017 | ISBN-10: 131661302X | True PDF | 572 Pages | 23.2 mb**

https://www.amazon.com/Introduction-Magnetohydrodynamics-Cambridge-Applied-Mathematics/dp/131661302X

Magnetohydrodynamics (MHD) plays a crucial role in astrophysics, planetary magnetism, engineering and controlled nuclear fusion. This comprehensive textbook emphasizes physical ideas, rather than mathematical detail, making it accessible to a broad audience. Starting from elementary chapters on fluid mechanics and electromagnetism, it takes the reader all the way through to the latest ideas in more advanced topics, including planetary dynamos, stellar magnetism, fusion plasmas and engineering applications. With the new edition, readers will benefit from additional material on MHD instabilities, planetary dynamos and applications in astrophysics, as well as a whole new chapter on fusion plasma MHD. The development of the material from first principles and its pedagogical style makes this an ideal companion for both undergraduate students and postgraduate students in physics, applied mathematics and engineering. Elementary knowledge of vector calculus is the only prerequisite.

CONTENTS

Preface to the Second Edition page xv

Preface to the First Edition xvii

PART I FROM MAXWELL’S EQUATIONS TO MAGNETOHYDRODYNAMICS 1

1 A Qualitative Overview of MHD 3

2 The Governing Equations of Electrodynamics 27

3 A First Course in Fluid Dynamics 57

4 The Governing Equations of MHD 112

PART II THE FUNDAMENTALS OF INCOMPRESSIBLE MHD 121

5 Kinematics: Advection, Diffusion and Intensification of Magnetic Fields 123

6 Dynamics at Low Magnetic Reynolds Numbers 144

7 Dynamics at High Magnetic Reynolds Numbers 185

8 An Introduction to Turbulence 228

9 MHD Turbulence at Low and High Magnetic Reynolds Numbers 277

PART III APPLICATIONS IN ENGINEERING AND MATERIALS 305

10 The World of Metallurgical MHD 307

11 The Generation and Suppression of Motion in Castings 317

12 Axisymmetric Flows Driven by the Injection of Current 351

13 MHD Instabilities in Aluminium Reduction Cells 374

PART IV APPLICATIONS IN PHYSICS 399

14 The Geodynamo 401

15 Stellar Magnetism 482

16 Plasma Containment in Fusion Reactors 514

Appendix A Vector Identities and Theorems 541

Appendix B Physical Properties of Liquid Metals 543

References 544

Index 551


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