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The motion of a shock-wave through a region of non-uniform density

Published online by Cambridge University Press:  28 March 2006

G. A. Bird
G. A. Bird
Affiliation:
Department of Aeronautical Engineering, The University of Sydney, Sydney, Australia
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Abstract

The method of characteristics is used to calculate numerical solutions for the one-dimensional motion of a plane shock-wave through a stationary gas which contains a region of non-uniform density. These solutions are compared with those given by the Chisnell-Whitham approach which ignores the effects on the shock-wave of the disturbances which are generated in the flow behind it, and also with the asymptotic solution given by the simple theory which regards the nonuniform region as a contact-surface discontinuity. It is concluded that the results of the simplified theories must be applied with caution.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 11 , Issue 2 , September 1961 , pp. 180 - 186
Copyright
© 1961 Cambridge University Press

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References

Chisnell, R. F. 1955 Proc. Roy. Soc. A, 223, 350.
Chisnell, R. F. 1957 J. Fluid Mech. 2, 286.
Moeckel, W. E. 1952 Nat. Adv. Comm. Aero. Tech. Note no. 2725.
Paterson, S. 1948 Proc. Phys. Soc. 61, 119.
Rudinger, G. 1955 Wave Diagrams for Non-Steady Flow in Ducts. New York: Van Nostrand.
Whitham, G. B. 1958 J. Fluid Mech. 4, 337.