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Title: MHD (magnetohydrodynamics) instabilities in simple plasma configuration

Abstract

This work provides what, we hope, is a relatively simple, self contained description of MHD instabilities in plasmas with simple configurations. By simple configuration, we mean a plasma in which all quantities vary in only one spatial direction. We deal with such plasmas here because we want to emphasize the basic physics of MHD instabilities. Although some fusion devices are inherently two or three dimensional in nature, there are others, specifically tokamaks and reversed field pinches which are, to good approximation, one dimensional. Also, these devices both display a wealth of complex MHD activity which can be fruitfully discussed. One deceptive aspect of MHD instabilities is that the simplest ones are extremely easy to understand. However more complicated instabilities, for instance in a plasma where both an axial and azimuthal field are present are much more difficult to visualize; but they are also much more interesting. This work is divided into two parts. Chapters 2-9 describe linear theory and chapters 10-15 describe the nonlinear theory. The latter part is naturally much more speculative than the former because less is known about nonlinear theory.

Authors:
;
Publication Date:
Research Org.:
Naval Research Lab., Washington, DC (USA)
OSTI Identifier:
6204270
Report Number(s):
AD-A-144936/2
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; PLASMA MACROINSTABILITIES; ANALYTICAL SOLUTION; MAGNETOHYDRODYNAMICS; SPATIAL DISTRIBUTION; DISTRIBUTION; FLUID MECHANICS; HYDRODYNAMICS; INSTABILITY; MECHANICS; PLASMA INSTABILITY 700107* -- Fusion Energy-- Plasma Research-- Instabilities

Citation Formats

Manheimer, W.M., and Lashmore-Davies, C. MHD (magnetohydrodynamics) instabilities in simple plasma configuration. United States: N. p., 1984. Web.
Manheimer, W.M., & Lashmore-Davies, C. MHD (magnetohydrodynamics) instabilities in simple plasma configuration. United States.
Manheimer, W.M., and Lashmore-Davies, C. 1984. "MHD (magnetohydrodynamics) instabilities in simple plasma configuration". United States. doi:.
@article{osti_6204270,
title = {MHD (magnetohydrodynamics) instabilities in simple plasma configuration},
author = {Manheimer, W.M. and Lashmore-Davies, C.},
abstractNote = {This work provides what, we hope, is a relatively simple, self contained description of MHD instabilities in plasmas with simple configurations. By simple configuration, we mean a plasma in which all quantities vary in only one spatial direction. We deal with such plasmas here because we want to emphasize the basic physics of MHD instabilities. Although some fusion devices are inherently two or three dimensional in nature, there are others, specifically tokamaks and reversed field pinches which are, to good approximation, one dimensional. Also, these devices both display a wealth of complex MHD activity which can be fruitfully discussed. One deceptive aspect of MHD instabilities is that the simplest ones are extremely easy to understand. However more complicated instabilities, for instance in a plasma where both an axial and azimuthal field are present are much more difficult to visualize; but they are also much more interesting. This work is divided into two parts. Chapters 2-9 describe linear theory and chapters 10-15 describe the nonlinear theory. The latter part is naturally much more speculative than the former because less is known about nonlinear theory.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = 1984,
month = 1
}

Technical Report:
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