Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-19T06:44:27.740Z Has data issue: false hasContentIssue false
  • English
  • Français

Cylindrical shock and detonation waves in magnetogasdynamics

Published online by Cambridge University Press:  29 March 2006

A. H. Christer  and
J. B. Helliwell
A. H. Christer
Affiliation:
Department of Mathematics, The University of Strathclyde, Glasgow, C.l
J. B. Helliwell
Affiliation:
School of Mathematics, The University of Bradford, Bradford, 7
Get access Rights & Permissions [Opens in a new window]

Abstract

Self-similar flow patterns are studied which arise when a cylindrically symmetric strong shock or detonation wave propagates outwards into a gas at rest in which the ambient density varies as the inverse square of the distance from the axis of symmetry along which flows a line current of either zero or finite constant strength. The electrical conductivity of the gas on either side of the wave is supposed perfect and the discontinuities discussed are either gasdynamic or magnetogas-dynamic in nature. It is shown that self-similar solutions exist for piston driven gasdynamic detonation and shock waves. Whilst no self-similar solutions may occur for magnetogasdynamic detonation waves, it is demonstrated that magnetogasdynamic shock waves do possess such solutions for which detailed flow patterns are presented.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 39 , Issue 4 , 15 December 1969 , pp. 705 - 725
Copyright
© 1969 Cambridge University Press

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

Cole, J. D. & Greifinger, C. 1962 Phys. Fluids, 5, 1597.
Ferraro, V. C. A. & Plumpton, C. 1961 An Introduction to Magneto-Fluid Mechanics. Oxford University Press.
Greenspan, H. P. 1962 Phys. Fluids, 5, 255.
Helliwell, J. B. 1963 J. Fluid Mech. 16, 243.
Helliwell, J. B. & Pack, D. C. 1962 Phys. Fluids, 5, 738.
Sedov, L. I. 1959 Similarity and Dimensional Methods in Mechanics. Infosearch Ltd. New York: Academic.
Stanyukovich, K. P. 1960 Unsteady Motion of Continuous Media (translated edition by M. Holt). Oxford: Pergamon.