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The steady streaming induced by a vibrating cylinder

Published online by Cambridge University Press:  29 March 2006

N. Riley
N. Riley
Affiliation:
School of Mathematics and Physics, University of East Anglia, Norwich, England
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Abstract

In this paper we apply the techniques of higher-order boundary-layer theory to study the steady streaming induced in the neighbourhood of a cylinder which vibrates harmonically, perpendicular to its generators, in an unbounded fluid. The theoretical predictions are compared with the results of experiments performed at high streaming Reynolds numbers. Improved agreement between theory and experiment is achieved although unresolved discrepancies remain.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 68 , Issue 4 , 29 April 1975 , pp. 801 - 812
Copyright
© 1975 Cambridge University Press

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References

Bertelsen, A. F. 1974 J. Fluid Mech. 64, 589.
Bickley, W. G. 1937 Phil. Mag. 23, 727.
Davidson, B. J. & Riley, N. 1972 J. FZuid Mech. 53, 287.
Lonwet-Higgins, M. S. 1953 Phil. Trancl. A 245, 535.
Lyne, W.H. 1971 J. Fluid Mech. 45, 13.
Riley, N. 1965 Mathematika, 12, 161.
Riley, N. 1967 J. Inst. Math. Appl. 3, 419.
Stewartson, K. 1958 In Proc. Symp. b.1. Ree. Frieburg i Br. 1957, pp. 57–91. Springer.
Stuart, J. T. 1963 Laminar Boundary Layers, chap. 7. Oxford University Press.
Stuart, J. T. 1966 J. Fluid Mech. 24, 673.