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On the linear stability of swept attachment-line boundary layer flow. Part 1. Spectrum and asymptotic behaviour

Published online by Cambridge University Press:  08 October 2003

DOMINIK OBRIST  and
PETER J. SCHMID
DOMINIK OBRIST
Affiliation:
Department of Applied Mathematics, University of Washington, Seattle, WA 98195-2420, [email protected] Present address: Cray Inc., Panamaweg 7, 5034 Suhr, Switzerland.
PETER J. SCHMID
Affiliation:
Department of Applied Mathematics, University of Washington, Seattle, WA 98195-2420, [email protected]
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Abstract

The temporal stability of swept attachment-line boundary layer flow based on a swept Hiemenz flow model is studied. Starting from the global stability problem and motivated by analytical free-stream solutions, a Hermite expansion is employed in the chordwise coordinate direction which results in coupled local stability problems. A complete study of the temporal spectrum is presented and the discrete and continuous modes are classified according to their symmetry, chordwise polynomial order and asymptotic decay. Uniform, Görtler–Hämmerlin and higher-order modes are described in detail. Estimates are given for the location of the continuous spectrum, and bounds are derived for the validity of the linear approximation.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 493 , 25 October 2003 , pp. 1 - 29
Copyright
© 2003 Cambridge University Press

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