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Primary and secondary instabilities of the asymptotic suction boundary layer on a curved plate

Published online by Cambridge University Press:  26 April 2006

Daniel S. Park  and
Patrick Huerre
Daniel S. Park
Affiliation:
Department of Aerospace Engineering, University of Southern California, Los Angeles, CA 90089-1191, USA Present address: Naval Command, Control and Ocean Surveillance Center, RDT&E Division, Code 574, San Diego, CA 92152-6040, USA.
Patrick Huerre
Affiliation:
Department of Aerospace Engineering, University of Southern California, Los Angeles, CA 90089-1191, USA Present address: Laboratoire d'Hydrodynamique (LADHYX), Ecole Polytechnique, 91128 Palaiseau Cedex, France.
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Abstract

The temporal growth of Görtler vortices and the associated secondary instability mechanisms are investigated numerically in the case of an asymptotic suction boundary layer on a curved plate. Highly inflectional velocity profiles are generated in both the spanwise and vertical directions. The inflectional velocity profile develops earlier in the spanwise direction. There exist two distinct modes of instability that eventually lead to the breakdown of Görtler vortices: the sinuous mode and the varicose mode. The temporal secondary instability analysis of the three-dimensional inflectional velocity profile reveals that the sinuous mode becomes unstable earlier than the varicose mode. The sinuous mode is shown to be primarily related to shear in the spanwise direction, ∂U/∂z, and the varicose mode to shear in the vertical direction, ∂U/∂y.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 283 , 25 January 1995 , pp. 249 - 272
Copyright
© 1995 Cambridge University Press

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