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A note on Whitham's Rule

Published online by Cambridge University Press:  28 March 2006

R. F. Chisnell
R. F. Chisnell
Affiliation:
Department of Mathematics, University of Manchester
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Abstract

Whitham (1957, 1958) has developed a method for treating the propagation of shock waves into non-uniform media, which has been widely and successfully used. In shock diffraction problems, he considers the medium ahead of the shock to be at rest. The purpose of this note is to generalize Whitham's technique to problems having a uniform flow ahead of the shock, in which the inclination of the shock normal to the direction of flow ahead of the shock remains small. This extension was suggested to the author by Miles (1964) who considered the problem of diffraction of a strong shock by a thin supersonic wedge.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 22 , Issue 1 , May 1965 , pp. 103 - 104
Copyright
© 1965 Cambridge University Press

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References

Chester, W. 1960 Adv. in Appl. Mech. 6, 119–52.
Miles, J. W. 1965 J. Fluid Mech. 22, 95–102.
Whitham, G. B. 1957 J. Fluid Mech. 2, 145–71.
Whitham, G. B. 1958 J. Fluid Mech. 4, 337–60.