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A note on the generation of Tollmien-Schlichting waves by sudden surface-curvature change

Published online by Cambridge University Press:  21 April 2006

M. E. Goldstein
Affiliation:
National Aeronautics and Space Administration, Lewis Research Center, Cleveland, OH 44135, USA
Lennart S. Hultgren
Affiliation:
National Aeronautics and Space Administration, Lewis Research Center, Cleveland, OH 44135, USA

Abstract

This note is primarily concerned with the generation of spatially growing Tollmien-Schlichting waves by the interaction of very long-wavelength free-stream disturbances with a discontinuity in the curvature of a bounding surface (whose slope may or may not be continuous). The theory is combined with a numerical solution of the local Orr-Sommerfeld equation, and the result is used to predict the Tollmien-Schlichting amplitude in a relevant experiment carried out by Leehey & Shapiro (1980). The calculated results are in satisfactory agreement with their observations.

Type
Research Article
Copyright
© 1987 Cambridge University Press

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