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The unsteady laminar boundary layer on a semi-infinite flat plate due to small fluctuations in the magnitude of the free-stream velocity

Published online by Cambridge University Press:  29 March 2006

R. C. Ackerberg  and
J. H. Phillips
R. C. Ackerberg
Affiliation:
Polytechnic Institute of Brooklyn Graduate Center, Farmingdale, New York 11735
J. H. Phillips
Affiliation:
Polytechnic Institute of Brooklyn Graduate Center, Farmingdale, New York 11735
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Abstract

Asymptotic and numerical solutions of the unsteady boundary-layer equations are obtained for a main stream velocity given by equation (1.1). Far downstream the flow develops into a double boundary layer. The inside layer is a Stokes shear-wave motion, which oscillates with zero mean flow, while the outer layer is a modified Blasius motion, which convects the mean flow downstream. The numerical results indicate that most flow quantities approach their asymptotic values far downstream through damped oscillations. This behaviour is attributed to exponentially small oscillatory eigenfunctions, which account for different initial conditions upstream.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 51 , Issue 1 , 11 January 1972 , pp. 137 - 157
Copyright
© 1972 Cambridge University Press

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