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On shock impedance

Published online by Cambridge University Press:  29 March 2006

L. F. Henderson
Affiliation:
Department of Mechanical Engineering, University of Sydney

Abstract

The objective of the paper is to formulate a physically realistic definition of shock impedance. The definition obtained, expression (15), is consistent with the acoustic limit, with the Polachek & Seeger result for head-on shock incidence, and with the various reflexion limits. It seems to be applicable to all known regular and irregular refractions, with the possible exception of a refraction containing a Guderley patch. It is shown that one result of increasing impedance mismatch is to produce precursor and postcursor waves. It is thought the impedance mismatch caused by the jets of supersonic aircraft might be used to reduce the sonic boom overpressure.

Type
Research Article
Copyright
© 1970 Cambridge University Press

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References

Guderley, K. G. 1947 Considerations of the structure of mixed subsonic–supersonic flow patterns. Tech. Rep. F-TR-2168-ND, Headquarters Air Materiel Command, Wright Field, Dayton, Ohio.Google Scholar
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Morse, P. M. & Ingard, K. U. 1968 Theoretical Acoustics. New York: McGraw-Hill.
Polachek, H. & Seeger, R. J. 1951 Phys. Rev. 84, 922.
Whitham, G. B. 1956 J. Fluid Mech. 1, 290.