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Generation of instability waves in flows separating from smooth surfaces

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

This paper analyses the coupling between an imposed disturbance and an instability wave that propagates downstream on a shear layer which emanates from a separation point on a smooth surface. Since the wavelengths of the most-amplified instability waves will generally be small compared with the streamwise body dimensions, the analysis is restricted to this ‘high-frequency’ limit and the solution is obtained by using matched asymptotic expansions. An ‘inner’ solution, valid near the separation point, is matched onto an outer solution, which represents an instability wave on a slowly diverging mean flow. The analysis relates the amplitude of this instability to that of the imposed disturbance.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 145 , August 1984 , pp. 71 - 94
Copyright
© 1984 Cambridge University Press

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