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Focusing of weak shock waves at an arête

Published online by Cambridge University Press:  19 April 2006

M. S. Cramer  and
A. R. Seebass
M. S. Cramer
Affiliation:
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853 Present address: Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, Arizona 85721.
A. R. Seebass
Affiliation:
Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, Arizona 85721
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Abstract

The focusing of very weak and slightly concave symmetrical shock waves is examined. The equation that describes this focusing is derived and the resulting similitude discussed. The initial conditions come from a formal matching of this nonlinear description with the linear solution. The maximum value of the pressure coefficient is shown to be proportional to the two-thirds power of both the initial strength of the wave front and a parameter characterizing its rate of convergence.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 88 , Issue 2 , 27 September 1978 , pp. 209 - 222
Copyright
© 1978 Cambridge University Press

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