Self-similar strong shocks in an exponential medium-Reference-Cited by-同舟云学术

Self-similar strong shocks in an exponential medium

Published:1968-05-03 Issue:2 Volume:32 Page:305-315
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Hayes Wallace D.

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference13 articles.

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2. Kompaneets, A. S. 1960 A point explosion in an inhomogeneous atmosphere.Dokl. AN SSSR 130,1001–3; Soviet Physics-Doklady, 5, 46–8.

3. Whitham, G. B. 1959 A new approach to problems of shock dynamics. Part II. Three-dimensional problems J. Fluid Mech. 5,369–86.

4. Chisnell, R. F. 1955 The normal motion of a shock wave through a non-uniform one-dimensional medium.Proc. Roy. Soc A232,350–70.

5. Hayes, W. D. 1968 Self-similar strong shocks in an exponential medium J. Fluid Mech. 32,305–315.

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