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On the linear stability of swept attachment-line boundary layer flow. Part 2. Non-modal effects and receptivity

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, USApjs@amath.washington.edu Present address: Cray Inc., Panamaweg 7, 5034 Suhr, Switzerland.
PETER J. SCHMID
Affiliation:
Department of Applied Mathematics, University of Washington, Seattle, WA 98195-2420, USApjs@amath.washington.edu
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Abstract

Following the study of the spectral properties of linearized swept Hiemenz flow (see Part 1, Obrist & Schmid 2003) we investigate the potential of swept Hiemenz flow to support transiently growing perturbations owing to the non-normal nature of the underlying linear stability operator. Transient amplification of perturbation energy is found for polynomial orders higher than zero, and a catalytic role of the continuous modes in increasing transient growth is demonstrated. The adjoint stability equations are derived and used in a numerical receptivity experiment to illustrate the scattering of vortical free-stream disturbances into the least stable boundary layer mode.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 493 , 25 October 2003 , pp. 31 - 58
Copyright
© 2003 Cambridge University Press

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