Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-05T16:38:52.878Z Has data issue: false hasContentIssue false
  • English
  • Français

Strong cylindrical shock waves in magnetogasdynamics

Published online by Cambridge University Press:  26 February 2010

J. D. Murray
J. D. Murray
Affiliation:
Hortford College, Oxford
Get access

Summary

A method is developed for finding the distribution of velocity, density, pressure and magnetic field behind an expanding strong cylindrical shock wave in an infinitely conducting fluid in the presence of a magnetic field.

In the flow of such a fluid there are two distinct methods for producing a strong shock:

(i) by imposing the usual density ratio across the shock, as in the non-magnetic cnse, and

(ii) by imposing a large magnetic field, such that the Alfvén velocity is very much larger than the speed of sound. The distribution of the various physical quantities and the velocity of propagation of the shock are discussed for both cases, and numerical results given.

Type
Research Article
Information
Mathematika , Volume 8 , Issue 2 , December 1961 , pp. 99 - 120
Copyright
Copyright © University College London 1961

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

1. Chester, W., Phil. Mag. (7), 45 (1955), 1293.CrossRefGoogle Scholar
2. Chisnell, R. F., J. Fluid Mech., 2 (1957), 286.CrossRefGoogle Scholar
3. Fraenkel, L. E., J. Fluid Mech., 5 (1959), 637.CrossRefGoogle Scholar
4. Lin, S. C., J. App. Phys., 25 (1954), 54.CrossRefGoogle Scholar
5. Sakurai, A., J. Phys. Soc. Japan, 8 (1953), 662.CrossRefGoogle Scholar
6. Sakurai, A.J. Phys. Soc. Japan, 9 (1954), 256.CrossRefGoogle Scholar
7. Sakurai, A., Conference on Exploding Wire Phenomena, Cambridge, Mass. (Plenum Press Inc., 1959).Google Scholar
8. Sedov, L. I., Similarity and Dimensional Methods (English Translation edited by Holt, M.. Academic Press, 1960).Google Scholar
9. Swigart, R. J., J. Fluid Mech., 9 (1960), 613.CrossRefGoogle Scholar
10. Taylor, G. I., Proc. Boy. Soc. A, 201 (1950), 159.Google Scholar
11. Whitham, G. B., J. Fluid Mech., 4 (1958), 337.CrossRefGoogle Scholar
12. Wilson, J. C., Private Communication, National Physical Laboratory, 1960.Google Scholar