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Surface-wave damping in a brimful circular cylinder

Published online by Cambridge University Press:  10 April 1998

CARLOS MARTEL ,
JOSÉ A. NICOLÁS  and
JOSÉ M. VEGA
CARLOS MARTEL
Affiliation:
Departamento de Fundamentos Matemáticos, Universidad Politécnica de Madrid, Plaza Cardenal Cisneros, 3, 28040 Madrid, Spain
JOSÉ A. NICOLÁS
Affiliation:
Departamento de Fundamentos Matemáticos, Universidad Politécnica de Madrid, Plaza Cardenal Cisneros, 3, 28040 Madrid, Spain
JOSÉ M. VEGA
Affiliation:
Departamento de Fundamentos Matemáticos, Universidad Politécnica de Madrid, Plaza Cardenal Cisneros, 3, 28040 Madrid, Spain
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Abstract

The natural frequencies and damping rates of surface waves in a circular cylinder with pinned-end boundary conditions are calculated in terms of the gravitational Reynolds and Bond numbers, C−1 and B, and the slenderness of the cylinder Λ, in the limit C→0. We consider higher-order approximations that include the effect of viscous dissipation in the Stokes boundary layers and the bulk. A comparison with clean-surface experiments by Henderson & Miles (1994) shows a satisfactory agreement except for the first axisymmetric mode, which exhibits a 26% discrepancy. The much larger dramatic discrepancy of former theoretical predictions is hereby improved and explained.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 360 , 10 April 1998 , pp. 213 - 228
Copyright
© 1998 Cambridge University Press

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