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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
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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

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