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Sloshing frequencies for cylindrical and spherical containers filled to an arbitrary depth

Published online by Cambridge University Press:  26 April 2006

P. Mciver
P. Mciver
Affiliation:
Department of Mathematics and Statistics, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK
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Abstract

The two-dimensional sloshing of a fluid in a horizontal circular cylindrical container and the three-dimensional sloshing of a fluid in a spherical container are considered. The linearized theory of water waves is used to determine the frequencies of free oscillations under gravity of an arbitrary amount of fluid in such tanks. Special coordinate systems are used and the problems are formulated in terms of integral equations which are solved numerically for the eigenvalues. Detailed tables of the sloshing frequencies are presented for a range of fill-depths of the containers.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 201 , April 1989 , pp. 243 - 257
Copyright
© 1989 Cambridge University Press

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