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On the resonant triad interaction in flows over rigid and flexible boundaries

Published online by Cambridge University Press:  26 April 2006

Michael D. Thomas
Michael D. Thomas
Affiliation:
Department of Mathematics, University of Exeter, Exeter EX4 4QE. UK Present address: Department of Engineering, University of Warwick, Coventry CV4 7AL, UK.
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Abstract

Besonant interactions in flows over rigid and flexible walls are studied. Attention is concentrated on symmetric, three-dimensional wave triads as proposed by Craik (1971). Location of resonant triads and evaluation of interaction coefficients are performed numerically, for a wide range of Reynolds numbers and wavenumbers, considering the temporal stability problem. Good agreement is found with previous work. It is shown that triads comprising various combinations of Tollmien-Schlichting and/or wall modes are possible, and have some interesting features; also, the possibility of interaction with Squire modes must not be overlooked.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 234 , January 1992 , pp. 417 - 441
Copyright
© 1992 Cambridge University Press

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