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On the instability of hypersonic flow past a wedge

Published online by Cambridge University Press:  26 April 2006

Stephen Cowley  and
Philip Hall
Stephen Cowley
Affiliation:
Mathematics Department, Imperial College, London SW7 2BZ, UK
Philip Hall
Affiliation:
Mathematics Department, Exeter University, Exeter, UK
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Abstract

The instability of a compressible flow past a wedge is investigated in the hypersonic limit. Particular attention is paid to Tollmien-Schlichting waves governed by triple-deck theory though some discussion of inviscid modes is given. It is shown that the attached shock can have a significant effect on the growth rates of Tollmien–Schlichting waves. Moreover, the presence of the shock allows for more than one unstable Tollmien–Schlichting wave. Indeed an infinite discrete spectrum of unstable waves is induced by the shock, but these modes are unstable over relatively small but high frequency ranges. The shock is shown to have little effect on the inviscid modes considered by previous authors and an asymptotic description of inviscid modes in the hypersonic limit is given.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 214 , May 1990 , pp. 17 - 42
Copyright
© 1990 Cambridge University Press

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