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Rotating magnetohydrodynamics

Published online by Cambridge University Press:  13 March 2009

X. Shan  and
D. Montgomery
X. Shan
Affiliation:
Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755–3528, U.S.A.
D. Montgomery
Affiliation:
Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755–3528, U.S.A.
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Abstract

It is shown that rotation of a periodic column of magnetohydrodynamic fluid can be stabilized against current-driven instabilities by rotation. The rotation is considered as resulting from a slight departure from overall charge neutrality, and is braked by wall friction (loss of angular momentum to the cylinder wall). Both effects are modelled phenomenologically in the equation of motion, and the emphasis is on their bulk dynamic effects rather their microscopic kinetic theory origins. Much as rotation is known to stabilize a Navier—Stokes fluid against transverse displacements, it is shown that sufficient rotation will suppress the helical vortices and helical deformations of the current channel that are known to result when the axial current in the column exceeds its stability threshold.

Type
Research Article
Information
Journal of Plasma Physics , Volume 52 , Issue 1 , August 1994 , pp. 113 - 128
Copyright
Copyright © Cambridge University Press 1994

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