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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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References

1Illingworth, C. R.. The effects of a sound wave on the compressible boundary layer on aflat plate. J. Fluid Mech. 3 (1958), 471493.CrossRefGoogle Scholar
2Richardson, P. D.. Effects of sound and vibrations on heat transfer. Appl. Mech. Rev. 20 (1967), 201217.Google Scholar
3Telionis, D. P. and Gupta, T. R.. Compressible oscillating boundary layers. AIAA J. 15 (1977), 974983.CrossRefGoogle Scholar
4Gribben, R. J.. Finite amplitude high frequency oscillations in a compressible laminar boundary layer. Quart. J. Mech. Appl. Math. 32 (1979), 283302.CrossRefGoogle Scholar
5Pedley, T. J.. Two-dimensional boundary layers in a free stream which oscillates without reversing. J. Fluid Mech. 55 (1972), 359383.CrossRefGoogle Scholar