Hostname: page-component-77c89778f8-fv566 Total loading time: 0 Render date: 2024-07-18T11:35:10.740Z Has data issue: false hasContentIssue false
  • English
  • Français

The Rayleigh—Taylor problem with a vertical magnetic field, including the effects of Hall current and resistivity

Published online by Cambridge University Press:  13 March 2009

G. G. Lister  and
R. J. Hosking
G. G. Lister
Affiliation:
Centre de Recherches en Physique des Plasmans, Lausanne, Switzerland
R. J. Hosking
Affiliation:
University of Waikato, Hamilton, New Zealand
Get access Rights & Permissions [Opens in a new window]

Abstract

The influence of resistivity and Hall current on the Rayleigh-Taylor problem involving two superposed fluids of finite density in the presence of gravitational and magnetic fields normal to the fluid interface is examined. Unlike the related problem in which the magnetic field is parallel to the interface, it appears that the dispersion relation does not exhibit singular behaviour in the zero resistivity limit. The ‘potentially stable’ situation is considered throughout. The results are compared with earlier ideal and resistive theories, and an apparent anomaly regarding the existence of normal modes in such systems is resolved.

Type
Research Article
Information
Journal of Plasma Physics , Volume 7 , Issue 3 , June 1972 , pp. 553 - 562
Copyright
Copyright © Cambridge University Press 1972

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

REFERENCES

Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.Google Scholar
Hosking, R. J. 1965 Phys. Rev. Lett. 15, 344.CrossRefGoogle Scholar
Hosking, R. J., 1968 J. Plasma Phys. 2, 613.CrossRefGoogle Scholar
Hosking, R. J. 1971 Culham Laboratory Rep. CLM-P264. (To be published.)Google Scholar
Kalara, G. L., Kathuria, S. N., Hosking, R. J. & Lister, G. G. 1970 J. Plasma Phys. 4, 451.Google Scholar
Rayleigh, Lord 1900 Scientific Papers, vol. 2, p. 200. Cambridge University Press.Google Scholar
Roberts, P. H. & Boardman, A. D. 1962 Astrophys. J. 135, 552.CrossRefGoogle Scholar
Schatzman, E. 1964 Astrophysica Norvegica, 9, 283.Google Scholar
Singh, S. & Tadon, J. N. 1969 J. Plasma Phys. 3, 633.CrossRefGoogle Scholar
Stix, T. H. 1962 The Theory of Plasma Waves. McGraw-Hill.Google Scholar
Talwar, S. P. & Kalra, G. L. 1967 J. Plasma Phys. 1, 145.Google Scholar
Woods, L. C. 1962 J. Fluid Mech. 13, 570.Google Scholar
Woods, L. C. 1964 J. Fluid Mech. 18, 401.Google Scholar