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Trapped modes in a two-layer fluid

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posted on 23.06.2006 by Christopher Linton, Jonathan R. Cadby
Trapped-mode frequencies are computed for submerged horizontal circular cylinders in a two-layer fluid consisting of a finite layer bounded above by a free surface and below by an infinite layer of greater density. Two separate cases are examined. First we consider waves which propagate along the top of a single cylinder at frequencies below the cut-off for wave propagation away from the cylinder, and find modes where the motion is concentrated around the interface, modes which are concentrated around the free surface, and modes which involve significant motion of both the interface and the free surface. Secondly, we compute modes above the cut-off for a pair of submerged cylinders in the lower fluid.

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  • Science

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  • Mathematical Sciences

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Citation

LINTON, C.M. and CADBY, J.R., 2003. Trapped modes in a two-layer fluid. Journal of Fluid Mechanics, 481, pp. 215–234.

Publisher

© Cambridge University Press

Publication date

2003

Notes

This article was published in the journal, Journal of Fluid Mechanics [© Cambridge University Press] and is available at: http://journals.cambridge.org/action/displayJournal?jid=FLM.

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en

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