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The focusing of weak shock waves at an axisymmetric arête

Published online by Cambridge University Press:  20 April 2006

M. S. Cramer
M. S. Cramer
Affiliation:
Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061
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Abstract

The focusing of a weak and nearly plane shock wave at an axisymmetric arête is examined. The initial-value problem governing the flow in the focal region is derived. A similitude is introduced which shows that the details of the flow depend on the initial shape and strength of the shock only through a simple rescaling of the variables. The dependence of the pressure coefficient on the physical parameters is given. It is seen that the maximum pressure coefficient is proportional to a parameter measuring the rate of focusing of the shock and to the square root of a parameter measuring the initial strength of the shock.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 110 , September 1981 , pp. 249 - 253
Copyright
© 1981 Cambridge University Press

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References

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