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 29 describe linear theory and chapters 1015 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):
 ADA144936/2
 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 LashmoreDavies, C. MHD (magnetohydrodynamics) instabilities in simple plasma configuration. United States: N. p., 1984.
Web.
Manheimer, W.M., & LashmoreDavies, C. MHD (magnetohydrodynamics) instabilities in simple plasma configuration. United States.
Manheimer, W.M., and LashmoreDavies, 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 LashmoreDavies, 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 29 describe linear theory and chapters 1015 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
}

Nonlinear magnetohydrodynamics: the effects of nonlinear plasma fluctuations on the transport, confinement and heating of a plasma
We have explored numerical solutions of the threedimensional magnetohydrodynamic equations and of the Strauss equations. In the former case, the emphasis has been on relaxation to forcefree, fieldreversed states in magnetofluids bounded by rigid conductors; in the latter case, the emphasis has been on disruptions. The competition between dynamic alignment of the velocity fields and magnetic fields and selective decay toward minimum energy states has been explored. Analytical expressions for density fluctuation spectra in MHD turbulence have been derived. Analytical expressions for turbulent MHD resistivities and viscosities have been derived.