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The resonant interaction of disturbances at laminar-turbulent transition in a boundary layer

Published online by Cambridge University Press:  20 April 2006

Yu. S. Kachanov  and
V. Ya. Levchenko
Yu. S. Kachanov
Affiliation:
Institute of Theoretical and Applied Mechanics, Siberian Branch of the U.S.S.R. Academy of Sciences, Novosibirsk, U.S.S.R.
V. Ya. Levchenko
Affiliation:
Institute of Theoretical and Applied Mechanics, Siberian Branch of the U.S.S.R. Academy of Sciences, Novosibirsk, U.S.S.R.
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Abstract

The three-dimensional resonant interaction of a plane Tollmien-Schlichting wave, having a frequency f1, with a pair of oblique waves having frequencies ½ f1, was observed and studied experimentally. In the initial stages, the interaction proved to be a parametric resonance, resulting in the amplification of small random priming (background) oscillations of frequency ½ f1, and of a packet of low-frequency oscillations. The resonant interaction of waves in a boundary layer was investigated also by introducing a priming oscillation with frequency f’ = ½ f1 + Δf for different values of the frequency detuning Δf. The importance of the discovered wave interaction in boundary-layer transition is demonstrated. Causes of realization of different types of laminar-flow breakdown are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 138 , January 1984 , pp. 209 - 247
Copyright
© 1984 Cambridge University Press

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