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Unsteady viscous flow over a wavy wall

Published online by Cambridge University Press:  29 March 2006

W. H. Lyne
W. H. Lyne
Affiliation:
E.C.L.P. and Co. Ltd, St Austell, Cornwall
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Abstract

The method of conformal transformation is used to investigate the steady streaming generated by an oscillatory viscous flow over a wavy wall. By assuming that the amplitude of the wall is much smaller than the Stokes layer thickness, the equations are linearized and solved for large and small values of the parameter kR. This parameter is the ratio of the amplitude of oscillation of a fluid particle to the wavelength of the wall. When kR [Lt ] 1, the results due to Schlichting (1932) are recovered, and when kR [Gt ] 1 the equations resemble closely those derived in the theory of stability of plane parallel flows. With the aid of this theory the first-order steady streaming is found.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 50 , Issue 1 , 15 November 1971 , pp. 33 - 48
Copyright
© 1971 Cambridge University Press

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