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An Integral Method for the Oscillating Turbulent Boundary Layer

Published online by Cambridge University Press:  07 June 2016

M.H. Patel
M.H. Patel*
Affiliation:
Department of Mechanical Engineering, University College, London
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Summary

The linearised time dependent momentum integral equation is used in conjunction with assumed velocity profiles and a quasi-static skin friction approximation to predict the turbulent boundary layer response to sinusoidal streamwise velocity fluctuations in the freestream. The mean zero pressure gradient case, corresponding to flat plate flow, is presented in detail and verified by comparison with experimental data and alternative calculations. The asymptotic turbulent boundary layer response to very high frequency perturbations is also derived. It is shown that a travelling wave component in the freestream, with its associated time dependent streamwise pressure gradient, has a dominant effect on the turbulent boundary layer response.

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Type
Research Article
Information
Aeronautical Quarterly , Volume 32 , Issue 4 , November 1981, pp. 271 - 298
Copyright
Copyright © Royal Aeronautical Society. 1981

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