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Viscous flow about a submerged circular cylinder induced by free-surface travelling waves

Published online by Cambridge University Press:  10 November 1998

B. YAN
Affiliation:
School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, UK
N. RILEY
Affiliation:
School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, UK

Abstract

Viscous flow about a circular cylinder that is submerged beneath free-surface travelling waves is considered. The wave amplitude is assumed small and results are presented for a wide range of Reynolds number. Particular attention is focused on the second-order time-averaged flow that manifests itself as a circulatory motion about the cylinder. The paper complements earlier work on this problem by Yan & Riley (1996) in the large Reynolds number, boundary-layer, regime and Riley & Yan (1996) in the inviscid flow limit, and makes a comparison with experimental work by Chaplin (1984) possible.

Type
Research Article
Copyright
© 1998 Cambridge University Press

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