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A note on shock diffraction by a supersonic wedge

Published online by Cambridge University Press:  28 March 2006

H. E. Huppert  and
J. W. Miles
H. E. Huppert
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, La Jolla
J. W. Miles
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, La Jolla
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Abstract

An earlier treatment of the diffraction of a shock wave advancing into a region of uniform flow, based on Chisnell's (1965) extension of Whitham's (1957) rule for shock diffraction, is corrected for an algebraic error and then compared with an analogous treatment based on the more recent extension derived by Whitham (1968). The basis for comparison is the pressure just behind a shock wave that is diffracted by a thin wedge travelling at supersonic speed. The approximation provided by Whitham's extension is both simpler than, and typically superior to, that provided by Chisnell's extension (although the numerical differences are small in the Mach-number régime considered).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 31 , Issue 3 , 26 February 1968 , pp. 455 - 458
Copyright
© 1968 Cambridge University Press

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References

Chisnell, R. F. 1965 A note on Whitham's rule J. Fluid Mech. 22, 103–4.Google Scholar
Miles, J. W. 1965 A note on shock-shock diffraction J. Fluid Mech. 22, 95–102.Google Scholar
Smyrl, J. L. 1963 The impact of a shock wave on a thin two-dimensional aerofoil moving at supersonic speed J. Fluid Mech. 15, 223–40.Google Scholar
Whitham, G. B. 1957 A new approach to problems of shock dynamics. Part I J. Fluid Mech. 2, 145–71.Google Scholar
Whitham, G. B. 1968 A note on shock dynamics relative to a moving frame J. Fluid Mech. 31, 449–453.Google Scholar