Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-29T13:24:45.528Z Has data issue: false hasContentIssue false
  • English
  • Français

A converging, cylindrical, ionizing shock

Published online by Cambridge University Press:  13 March 2009

D. M. Sloan
D. M. Sloan
Affiliation:
University of Strathclyed, Department of Mathematics, Glasgow
Get access Rights & Permissions [Opens in a new window]

Abstract

The investigation deals with a collapsing, cylindrical, ionizing shock in an applied axial magnetic field. The magnetic field in the nonconducting gas ahead of the shock increases as the shock converges and the consequent increase in the Lorentz force behind the shock produces a retardation. It is shown that no accelerating self-similar solution exists and the governing equations are then solved numerically.

Type
Research Article
Information
Journal of Plasma Physics , Volume 2 , Issue 4 , December 1968 , pp. 597 - 611
Copyright
Copyright © Cambridge University Press 1968

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

Butler, D. S. 1954 Ministry of Supply Rept. (unpublished).Google Scholar
Butler, D.S. 1965 J. Fluid Mech. 23, 1.Google Scholar
Guderley, G. 1942 Luftfahrtforsch. 19, 302.Google Scholar
Hartree, D. R. 1953 A.E.C.U. Rep. no. 2713.Google Scholar
Kulikovskii, A. G. & Lyubimov, G. A. 1960 Rev. Mod. Phys. 32, 977.CrossRefGoogle Scholar
Lax, P. D. 1954 Comm. Pure Appl. Math. 7, 159.Google Scholar
Payne, R. B. 1957 J. Fluid Mech. 2, 185.CrossRefGoogle Scholar
Sedov, L. I. 1959 Similarity and Dimensional Methods in Mechanics (translation edited by Holt, M.). New York: Academic Press.Google Scholar
Whitham, G. B. 1958 J. Fluid Mech. 4, 337.Google Scholar