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Mode interaction and the bypass route to transition

Published online by Cambridge University Press:  18 May 2005

TAMER A. ZAKI  and
PAUL A. DURBIN
TAMER A. ZAKI
Affiliation:
Mechanical Engineering, Stanford University, Stanford, CA 94305-3030, USA
PAUL A. DURBIN
Affiliation:
Mechanical Engineering, Stanford University, Stanford, CA 94305-3030, USA
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Abstract

The manner by which external vortical disturbances penetrate the laminar boundary layer and induce transition is explored. Linear theory suggests that the well-known Klebanoff mode precursor to transition can be understood as a superposition of Squire continuous modes. Shear sheltering influences the ability of free-stream disturbances to generate a packet of Squire modes. A coupling coefficient between continuous spectrum spectrum Orr–Sommerfeld and Squire modes is used to characterize the interaction. Full numerical simulations with prescribed modes at the inlet substantiate this approach. With two weakly coupled modes at the inlet, the boundary layer is little perturbed; with two strongly coupled modes, Klebanoff modes are produced; with one strongly coupled and one weakly coupled high-frequency mode, the complete transition process is simulated.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 531 , 25 May 2005 , pp. 85 - 111
Copyright
© 2005 Cambridge University Press

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