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On the Whitham theory of shock-wave diffraction at concave corners

Published online by Cambridge University Press:  19 April 2006

L. F. Henderson
L. F. Henderson
Affiliation:
Department of Mechanical Engineering, University of Sydney, New South Wales 2006, Australia
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Abstract

The well-known Whitham theory may be applied to shocks diffracting over concave corners, provided that the diffraction results in Mach reflexion. This paper compares the theory with data obtained during experiments with diffracting shocks. If an incident shock is classified as weak or strong in the strict sense defined by von Neumann, then it is found that the Whitham theory accurately determines the Mach number of the Mach stem at the wall for both the weak and the strong cases. The theory also has some further value for strong shocks but not for weak; it is not applicable when the diffraction is regular.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 99 , Issue 4 , 29 August 1980 , pp. 801 - 811
Copyright
© 1980 Cambridge University Press

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References

Ames Research Staff 1953 Equations, tables and charts for compressible flow. Nat. Adv. Comm. Aeron., Wash. Rep. no. 1135.
Bazhenova, T. V., Gvozdeva, L. G. & Zhilin, Yu. V. 1979 Acta Astron. 6, 401.
Bleakney, W. & Taub, A. H. 1949 Rev. Mod. Phys. 21, 584.
Bryson, A. E. & Gross, R. W. F. 1961 J. Fluid Mech. 10, 1.
Chester, W. 1954 Phil. Mag. 45 (7), 1293.
Chisnell, R. F. 1957 J. Fluid Mech. 2, 286.
Eggink, H. 1943 Zentralstelle Wissenschaftliche Ber., Aachen, no. 1850.
Guderley, K. G. 1947 HQ Air Materiel Command, Wright Field, Dayton, Ohio, Tech. Rep. F-TR-2168 ND.
Henderson, L. F. 1964 Aero. Quart. 15, 181.
Henderson, L. F. 1965 Aero. Quart. 16, 42.
Henderson, L. F. & Lozzi, A. 1975 J. Fluid Mech. 68, 139.
Henderson, L. F. & Lozzi, A. 1979 J. Fluid Mech. 94, 541.
Henderson, L. F. & Siegenthaler, A. 1980 Proc. Roy. Soc. A 369, 537.
Kawamura, R. & Saito, H. 1956 J. Phys. Soc. Japan 11, 584.
Mölder, S. 1971 C.A.S.I. Trans. 4, 73.
Neumann, J. von 1963 Collected Works, vol. 6. Pergamon.
Sakurai, A. 1964 J. Phys. Soc. Japan 19, 1440.
Smith, L. G. 1945 Photographic investigations of the reflexion of plane shocks in air. O.S.R.D. Rep. no. 6271.Google Scholar
Wecken, F. 1949 Z. angew. Math. Mech. 29, 147.
Wuest, W. 1948 Z. angew. Math. Mech. 28, 3.
Whitham, G. B. 1957 J. Fluid Mech. 2, 145.
Whitham, G. B. 1959 J. Fluid Mech. 5, 369.