MHD Instabilities

288 Pages·1978·80.256 MB·English

by  Glenn Bateman

MASSACHUSETTS
of
INSTITUTE
TECHNOLOGY
LIBRARIES
Gift of
Walter A. Rosenblil h
The MIT Press
This file has been authorized and provided by the
publisher, The MIT Press, as part of its ongoing efforts
to make available in digital form older titles that are no
longer readily available.
This file is provided through internet Archive for library
lending, and no further reproduction or distribution is
allowed except as permitted by applicable law or in
writing by the MIT Press.
Digitized by the Internet Archive
in 2017 with funding from
The Arcadia Fund
https://archive.org/details/mhdinstabilitiesOObate
MHD Instabilities

MHD Instabilities
Glenn Bateman
The MIT Press
Cambridge, Massachusetts,
and London, England
Qcyn-s
(cid:3)(cid:3)WU
.357
Copyright © 1978 by
The Massachusetts Institute of Technology
All rights reserved. No part of this book may be reproduced in any form or
by any means, electronic or mechanical, including photocopying, recording,
or by any information storage and retrieval system, without permission in
writing from the publisher.
This book was set in Monophoto Times Mathematics
by Asco Trade Typesetting Limited, Hong Kong,
and printed and bound by Murray Printing Company
in the United States of America
Library of Congress Cataloging in Publication Data
Bateman, Glenn.
MHD instabilities.
Includes bibliographies and index.
1. Magnetohydrodynamics—Mathematical models. 2. Plasma instabilities
—Mathematical models. 3. Tokamaks—Mathematical models. I. Title.
QC718.5.M36B37 538'.6 78-17183
ISBN 0-262-02131-5

Contents
Preface xi
1
Introduction 3
1.1 Historical Perspective 4
1.2 Tokamaks 8
1.3 Outline of the Book 21
1.4 Bibliography 23
1.5 References 24
2
The MHD Equations 27
2.1 Introduction 27
2.2 Magnetic Flux and Faraday’s Law 29
2.3 Motion of Magnetic Field Lines 32
2.4 The J x B Force 36
2.5 Conservative Forms of the MHD Equations 37
2.6 Effects Neglected by the MHD Model 40
2.7 Summary 44
2.8 References 45