Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-27T14:22:34.821Z Has data issue: false hasContentIssue false
  • English
  • Français

The hydromagnetic Kelvin—Helmholtz problem in a Hall plasma

Published online by Cambridge University Press:  13 March 2009

J. F. McKenzie
J. F. McKenzie
Affiliation:
European Space Research Institute(ESRIN) of the European Space Research Organisation (ESRO), Frascati, Italy
Get access Rights & Permissions [Opens in a new window]

Extract

The hydromagnetic analogue of the Kelvin–Helmholtz problem is extended to include the effects of the Hall term. In contrast to other results in the literature it is shown that, in the case of incompressible fluids, the stability of a shear plane is unaffected by the introduction of the Hall term. The special case of a hot, uninagnetized fluid on one side of the interface and a cold, magnetized fluid on the other is studied in some detail. In this case it is shown that the presence of the Hall term can have either a stabilizing or a destabilizing effect, depending upon whether the sound speed in the hot fluid is very much greater than the Alfvén speed in the cold fluid or vice versa.

Type
Articles
Information
Journal of Plasma Physics , Volume 5 , Issue 2 , March 1971 , pp. 275 - 288
Copyright
Copyright © Cambridge University Press 1971

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

Axford, W. I. 1960 Q. J. Mesh. Appl. Math. 13, 314.CrossRefGoogle Scholar
Burlaga, L. F. 1969 Solar Physics 7, 72.CrossRefGoogle Scholar
Fejer, J. A. 1964 Phys. Fluids 7, 499.CrossRefGoogle Scholar
Formisano, V. & Kennel, C. F. 1969 J. Plasma Physics 3, 55.CrossRefGoogle Scholar
Hosking, R. J. 1968 J. Plasma Physics 2, 613.CrossRefGoogle Scholar
Landau, L. D. & Lifshitz, E. M. 1960 Electrodynamics of Continuous Media, p. 225. Pergamon Press.Google Scholar
Lighthill, M. J. 1960 Phil. Trans. Roy. Soc. A 252, 397.Google Scholar
Mckenzie, J. F. 1970 Planet. Space Sci. 18, 1.CrossRefGoogle Scholar
Nayyar, N. K. & Trehan, S. K. 1966 Phys. Rev. Letters 17, 526.CrossRefGoogle Scholar
Parker, E. N. 1963 Astrophys. J. 139, 690.CrossRefGoogle Scholar
Sen, A. K. 1965 Planet. Space Sci. 13, 131.CrossRefGoogle Scholar
Sen, A. K. & Chou, C. K. 1968 Earth Planet, Sci. Lett.Google Scholar
Siscoe, G. L., Davis, L., Coleman, P. J., Smith, E. J. & Jones, D. E. 1968 J. Geophys. Res. 73, 61.CrossRefGoogle Scholar
Sounthwod, D. J. 1968 Planet. Space Sci. 16, 587.CrossRefGoogle Scholar
Stix, T. H. 1962 The Theory of Plasma Waves. McGraw-Hill.Google Scholar
Stringer, T. E. 1963 Plasma Physics (J. Nucl. Energy C) 5, 89.CrossRefGoogle Scholar
Talwar, S. P. & Kalra, G. L. 1967 J. Plasma Physics 1, 156.CrossRefGoogle Scholar
Tayler, R. J. 1962 Nuclear Fusion (Supplement, Part 3), p. 877.Google Scholar