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Non-linear weak shock diffraction

Published online by Cambridge University Press:  09 April 2009

N. J. De Mestre
N. J. De Mestre
Affiliation:
Royal Military CollegeDuntroon, A.C.T.
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Abstract

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Perturbation expansions are sought for the flow variables associated with the diffraction of a plane weak shock wave around convex-angled corners in a polytropic, inviscid, thermally-nonconducting gas. Lighthill's method of strained co-ordinates [4] produces a uniformly valid expansion for most of the diffracted front, while the remainder of this front is treated by a modification of the shock-ray theory of Whitham [6]. The solutions from these approaches are patched just inside the ‘shadow’ region yielding a plausible description of the entire diffracted shock front.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 8 , Issue 4 , November 1968 , pp. 737 - 754
Copyright
Copyright © Australian Mathematical Society 1968

References

[1]Busemann, A., ‘Aerodynamischer Auftrieb bei Überschallgeschwindigkeit’, Luftfahrtforschung 12 (1935), 210–219.Google Scholar
[2]Keller, J. B. and Blank, A., ‘Diffraction and reflection of pulses by wedges and corners’, Comm. Pure Appl. Math. 4 (1951), 75–94.CrossRefGoogle Scholar
[3]Levey, H. C., ‘An interim report on diffraction of waves of finite amplitude (Techn. Rep. No. 1, Cruft Laboratory, Harvard Univ., 1962).Google Scholar
[4]Lighthill, M. J., ‘A technique for rendering approximate solutions to physical problems uniformly valid’, Philos. Mag. 40 (1949), 1179–1201.CrossRefGoogle Scholar
[5]Lighthill, M. J., ‘The shock strength in supersonic ‘conical fields’’, Philos. Mag. 40 (1949), 1202–1223.CrossRefGoogle Scholar
[6]Whitham, G. B., ‘A new approach to problems of shock dynamics. Part 1. Two-dimensional problems’, J. Fluid Mech. 2 (1957), 145–171.CrossRefGoogle Scholar