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Self-similar strong shocks in an exponential medium

Published online by Cambridge University Press:  28 March 2006

Wallace D. Hayes
Wallace D. Hayes
Affiliation:
Princeton University and Stanford Research Institute
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Abstract

The self-similar one-dimensional propagation of a strong shock wave in a medium with exponentially varying density and ray-tube area is studied, using the Eulerian approach of Sedov. Conservation integrals analogous to Sedov's are obtained, with the expression for the Lagrangian variable. Calculated results are compared with the predictions of the CCW (Chisnell, Chester and Whitham) approximation. It was found that, in contrast to the implosion case, the propagation parameter from the CCW approximation is in error by 15% or more.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 32 , Issue 2 , 3 May 1968 , pp. 305 - 315
Copyright
© 1968 Cambridge University Press

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