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On the irregular refraction of a plane shock wave at a Mach number interface

Published online by Cambridge University Press:  28 March 2006

L. F. Henderson  and
A. K. Macpherson
L. F. Henderson
Affiliation:
Department of Mechanical Engineering, University of Sydney
A. K. Macpherson
Affiliation:
Department of Mechanical Engineering, University of Sydney
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Abstract

The paper considers the refraction of a plane shock wave at an interface between two streams of different Mach number. Particular attention is paid to the irregular wave systems. It is found that when the interface is slow-fast, that is when the speed of sound a0 in the first or incident wave medium is less than the speed of sound aB in the second or transmitted wave medium, then there are two irregular systems, one being a double Mach reflexion type and the other being a four-wave confluence type. There are also two irregular systems when the refraction is fast-slow; these are a single Mach reflexion type and an expansion wave type. This last system has a central expansion wave when the flow is steady and a continuous band expansion wave when the flow is self-similar. Only two of the irregular wave systems have been observed experimentally in the fully developed state. Possible degeneracies are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 32 , Issue 1 , 9 April 1968 , pp. 185 - 202
Copyright
© 1968 Cambridge University Press

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