Hostname: page-component-77c89778f8-gq7q9 Total loading time: 0 Render date: 2024-07-20T05:18:04.965Z Has data issue: false hasContentIssue false
  • English
  • Français

On some similarity solutions in magnetohydrodynamics

Published online by Cambridge University Press:  13 March 2009

C. Sozou
C. Sozou
Affiliation:
Department of Applied Mathematics and Computing Science, The University, Sheffield
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we employ similarity considerations to investigate the flow field produced by an electric discharge (mathematically a current source) and a jet of momentum emerging from the same hole of a plane wall bounding a viscous, incompressible conducting fluid, which extends to infinity. We also use similarity solutions in considering the axisymmetric configuration of a problem that has recently received some attention in connexion with field line reconnexion in conducting fluids. We derive the similarity equations for an incompressible, viscous conducting fluid, and discuss the solutions for the case when the fluid is perfectly conducting. When the electrical conductivity of the fluid is finite, we could not construct solutions, satisfying the appropriate boundary conditions.

Type
Research Article
Information
Journal of Plasma Physics , Volume 6 , Issue 2 , October 1971 , pp. 331 - 341
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

Landau, L. D. & Lifshitz, E. M. 1944 Mechanics of Compact Media (in Russian). G.T.T.I. 19: Moscow.Google Scholar
Pao, H. P. & Long, R. R. 1966 Quart. J. Mech. Appl. Math. 19, 1.CrossRefGoogle Scholar
Petschek, H. E. 1964 AAS-NASA Symp. on the Phys. of Solar Flares (ed. Hess, W. N.). NASA SP 50.Google Scholar
Sonnerup, B. U. O. 1970 J. Plasma Phys. 4, 161.CrossRefGoogle Scholar
Sozou, C. 1971 J. Fluid. Mech. 46, 25.CrossRefGoogle Scholar
Squire, H. B. 1951 Quart. J. Mech. Appl. Math. 4, 321.CrossRefGoogle Scholar
Squire, H. B. 1952 Phil. Mag. (7) 43, 942.CrossRefGoogle Scholar
Wu, C.-S. 1961 Quart. J. Mech. Appl. Math. 14, 1.CrossRefGoogle Scholar
Yeh, T. & Axford, W. I. 1970 J. Plasma Phys. 4, 207.CrossRefGoogle Scholar