Hostname: page-component-76fb5796d-vfjqv Total loading time: 0 Render date: 2024-04-26T09:17:36.862Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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.