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The flow about the trailing edge of a supersonic oscillating aerofoil

Published online by Cambridge University Press:  29 March 2006

P. G. Daniels
P. G. Daniels
Affiliation:
Department of Mathematics, University College London
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Abstract

A description is given of the high Reynolds number (R [Gt ] 1) laminar fluid motion in the neighbourhood of the trailing edge of a flat plate undergoing small amplitude sinusoidal oscillations in a uniform supersonic stream. It is shown that for oscillations of frequency ω* = O(R¼) and amplitude h* = O(R−½) a rational description of the flow at the trailing edge is based on a ‘triple-deck’ structure, which is a familiar feature of steady trailing-edge flows. The theory may be extended in a straightforward manner to include slow oscillations of the plate, and it is shown in general that the occurrence of separation at the trailing edge is dependent upon the magnitude of the product of the frequency and amplitude of oscillation, and that if ω* [les ] O(R½) then the flow is maintained right up to the trailing edge provided that h*ω* [Lt ] R−¼. The precise condition for the occurrence of separation is found for frequencies in the range ω* R−¼.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 72 , Issue 3 , 9 December 1975 , pp. 541 - 557
Copyright
© 1975 Cambridge University Press

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