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Scattering of acoustic waves into Tollmien-Schlichting waves by small streamwise variations in surface geometry

Published online by Cambridge University Press:  20 April 2006

M. E. Goldstein
M. E. Goldstein
Affiliation:
National Aeronautics and Space Administration, Lewis Research Center, Cleveland, Ohio 44135
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Abstract

By using the triple-deck scaling of Stewartson (1969) and Messiter (1970) we show that small but relatively sudden surface geometry variations that produce only very weak static pressure variations can nevertheless produce strong, i.e. 0(1), coupling between an externally imposed acoustic disturbance and a spatially growing Tollmien- Schlichting wave. The analysis provides a qualitative explanation of the Leehey & Shapiro (1979) boundary-layer receptivity measurements and is in good quantitative agreement with the Aizin & Polyakov (1979) experiment. It may also explain why small ‘trip wires’ can promote early transition.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 154 , May 1985 , pp. 509 - 529
Copyright
© 1985 Cambridge University Press

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