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A novel form of the MHD Rayleigh–Taylor instability

Published online by Cambridge University Press:  29 March 2006

I. S. Robinson
Affiliation:
Institute of Oceanographic Sciences, Bidston Observatory, Birkenhead, Merseyside, England

Abstract

When a mutually perpendicular horizontal magnetic field and electric current are imposed upon an electrolytic liquid in a tank covered by a lighter nonconducting fluid, the interface can become unstable. In the experiment described in this paper the tank floor is stepped so that only part of the interface becomes unstable. The result is a distinctive arch-like configuration of the electrolyte, which finally disintegrates to break the current path, but which will continue to repeat itself.

Type
Research Article
Copyright
© 1975 Cambridge University Press

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References

Baker, R. C. 1965 Maximum growth rates of Rayleigh-Taylor instabilities due to an electromagnetic force. Nature, 207, 6566.Google Scholar
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Concus, P. & Finn, R. 1969 On the behaviour of a capillary surface in a wedge. Proc. Nat. Acad. Sci. U.S.A. 63, 292299.Google Scholar
Duc, X. N. 1968 Etude théorique et experimentale sur modèle hydraulique des instabilités de Rayleigh-Taylor en magneto hydrodynamique. C. r. Acad. Sci. Paris, 266, 738740.Google Scholar
Lemaire, A. 1963 Instabilité de Rayleigh-Taylor sous l'effet de forces electromagnetiques. In Comptes Rendus de la IVe Conference Internationale sur les Phenomènes d'Ionisation dans les Gaz(ed. P. Hubert & E. Cremaieu-Alcon), vol. 4, pp. 487490. Paris: SERMA.
Northrup, E. F. 1907 Some newly observed manifestations of forces in the interior of an electric conductor. Phys. Rev. 24, 474497.Google Scholar
Robinson, I. S. 1973 Anisotropic surface waves and instabilities under a vertical electromagnetic force. Ph.D. thesis, University of Warwick.
Shercliff, J. A. 1969 Anisotropic surface waves under a vertical magnetic force. J. Fluid Mech. 38, 353364.Google Scholar