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Numerical simulations of transition in oscillatory plane channel flow

Published online by Cambridge University Press:  26 April 2006

Bart A. Singer ,
Joel H. Ferziger  and
Helen L. Reed
Bart A. Singer
Affiliation:
High Technology Corp., 28 Research Drive, Hampton, VA 23666, USA
Joel H. Ferziger
Affiliation:
Stanford University, Stanford, CA 94305, USA
Helen L. Reed
Affiliation:
Arizona State University, Tempe, AZ 85287, USA
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Abstract

The effect of flow oscillation on the stability of plane channel flow is studied via numerical simulation. For weak oscillation, the ratio of the Stokes layer thickness to the distance from the wall to the critical layer in steady flow provides the best normalization for the mean-flow frequency. Maximum growth rates occur when the instantaneous velocity profile has large regions of positive curvature. The effect of oscillation is generally stabilizing. However, at low frequencies, TS wave energies may vary by 106 in a cycle and irreversible secondary instability may be produced at the peak.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 208 , November 1989 , pp. 45 - 66
Copyright
© 1989 Cambridge University Press

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