Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-27T15:30:01.587Z Has data issue: false hasContentIssue false
  • English
  • Français

The character of equilibrium of an inviscid, infinitely conducting fluid of variable density in the presence of a horizontal magnetic field with Hall-current

Published online by Cambridge University Press:  13 March 2009

P. D. Ariel
P. D. Ariel
Affiliation:
Department of Mathematics, M. R. Engineering College, Jaipur, India
Get access Rights & Permissions [Opens in a new window]

Abstract

The character of equilibrium of an inviscid, incompressible, infinitely conducting fluid of variable density in the presence of a horizontal magnetic field has been investigated taking into account the effects of Hall-currents. The solution is shown to be characterized by a variational principle. Making use of the existence of variational principle the solution is developed in the case of continuously stratified fluid of exponentially varying density confined between two horizontal planes at finite distance, from which the necessary and sufficient conditions of stability are obtained. The Hall-currents are found to destabilize the wave-number range which is stable otherwise.

Type
Research Article
Information
Journal of Plasma Physics , Volume 4 , Issue 3 , September 1970 , pp. 523 - 530
Copyright
Copyright © Cambridge University Press 1970

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

REFERENCE

Agrawal, S. C. 1969 J. Phys. Soc. Japan 26, 561.CrossRefGoogle Scholar
Hide, R. 1955 Proc. Roy. Soc. Lond. A 233, 376.Google Scholar
Hosking, R. J. 1965 Phys. Rev. Lett. 15, 344.CrossRefGoogle Scholar
Kruskal, M. & Schwartzchild, M. 1954 Proc. Roy. Soc. Lond. A 233, 348.Google Scholar
Rayleigh, Lord, 1883 Proc. Lond. Math. Soc. 14, 170.Google Scholar
Also Scientific Papers, vol. 2, pp. 200 (Cambridge, England, 1960).Google Scholar