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The interaction of waves with horizontal cylinders in two-layer fluids

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journal contribution
posted on 24.02.2009 by Christopher Linton, Maureen McIver
We consider two-dimensional problems based on linear water wave theory concerning the interaction of waves with horizontal cylinders in a fluid consisting of a layer of finite depth bounded above by a free surface and below by an infinite layer of fluid of greater density. For such a situation time-harmonic waves can propagate with two different wavenumbers K and k. In a single-layer fluid there are a number of reciprocity relations that exist connecting the various hydrodynamic quantities that arise. These relations are systematically extended to the two-fluid case. It is shown that for symmetric bodies the solutions to scattering problems where the incident wave has wavenumber K and those where it has wavenumber k are related so that the solution to both can be found by just solving one of them. The particular problems of wave scattering by a horizontal circular cylinder in either the upper or lower layer are then solved using multipole expansions.

History

School

  • Science

Department

  • Mathematical Sciences

Citation

LINTON, C.M. and MCIVER, M., 1995. The interaction of waves with horizontal cylinders in two-layer fluids. Journal of Fluid Mechanics, 304, pp. 213-229

Publisher

© Cambridge University Press

Version

VoR (Version of Record)

Publication date

1995

Notes

This journal article was published in the journal, Journal of Fluid Mechanics [© Cambridge University Press]. The definitive version is available at: http://dx.doi.org/10.1017/S002211209500440X

ISSN

0022-1120

Language

en

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