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The stability of a rotating flow in the presence of an axial and a toroidal magnetic field

Published online by Cambridge University Press:  11 April 2006

Chao-Ho Sung
Chao-Ho Sung
Affiliation:
Astronomy Centre, University of Sussex, Brighton BN1 9QH, England
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Abstract

Making a normal-mode assumption, we shall investigate stability with respect to non-axisymmetric perturbations of an inhomogeneous incompressible fluid rotating between two perfectly conducting, infinite, coaxial cylinders in the presence of an axial and a toroidal magnetic field. We shall establish sufficient conditions for stability, discuss the westward-drift nature of unstable modes and estimate upper bounds on the azimuthal phase speeds and growth rates. There will also be a discussion of the validity of the sufficient conditions for stability when the normal-mode assumption is not made, so that the stability is based on an initial-value problem.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 79 , Issue 3 , 9 March 1977 , pp. 417 - 434
Copyright
© 1977 Cambridge University Press

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