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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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References

Acheson, D. J. 1972 J. Fluid Mech. 52, 529–541.
Acheson, D. J. 1973 J. Fluid Mech. 61, 609–624.
Acheson, D. J. & Hide, R. 1973 Rep. Prog. Phys. 36, 159–221.
Barston, E. M. 1970 J. Fluid Mech. 42, 97–109.
Braginskii;, S. I. 1967 Geomag. Aero. 6, 851–859.
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford: Clarendon Press.
Hide, R. 1966 Phil. Trans. Roy. Soc. A 259, 615–647.
Howard, L. N. 1961 J. Fluid Mech. 10, 509–512.
Howard, L. N. & Gupta, A. S. 1962 J. Fluid Mech. 14, 463–476.
Lynden-Bell, D. & Ostriker, J. P. 1967 Mon. Not. Roy. Astr. Soc. 136, 293–310.
Malkus, W. V. R. 1967 J. Fluid Mech. 28, 793–802.
Roberts, P. H. & Soward, A. M. 1972 Ann. Rev. Fluid Mech. 4, 117–154.
Velikhov, E. P. 1959 Sov. Phys., J. Exp. Theor. Phys. 9, 995–998.