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Internal waves in a circular channel

Published online by Cambridge University Press:  29 March 2006

W. H. Yang
Affiliation:
Department of Applied Mechanics and Engineering Science, University of Michigan, Ann Arbor
Chia-Shun Yih
Affiliation:
Department of Applied Mechanics and Engineering Science, University of Michigan, Ann Arbor

Abstract

The frequencies of the first four sloshing internal wave modes in two superposed fluid layers contained in a circular channel are calculated for two positions of the free surface and for various ratios of the depths of the two layers. Flow patterns are given for the first four sloshing modes for the case in which the fluids occupy a semicircular space and the depth of the upper layer is one-quarter of the radius.

It is hoped that the results obtained will provide a guide for estimating the frequencies of sloshing internal wave modes in long lakes.

Type
Research Article
Copyright
© 1976 Cambridge University Press

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