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On oscillations in a compressible laminar boundary layer

Published online by Cambridge University Press:  14 November 2011

R. J. Gribben
Affiliation:
Department of Mathematics, University of Strathclyde

Synopsis

The behaviour of heat transfer and skin friction is analysed in a compressible laminar boundary layer with external velocity Ue(x)(l + α sin ωt The Mach number M is assumed small but finite so that high frequency flows (s ≫1) in which c =αγM2s/2 = O(1) are considered. Solutions, obtained by matching in the Stokes and Prandtl layers, involve summation of Fourier-like series to give the dominant terms in the heat transfer and skin friction. Results, for c =½, verify that a previous approximate method gives a reasonable description of unsteady heat transfer and skin friction; forc =1 there is a substantial increase in amplitude of heat transfer but little change of phase.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1981

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