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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/4269

Title: The interaction of waves with horizontal cylinders in two-layer fluids
Authors: Linton, C.M.
McIver, M.
Issue Date: 1995
Publisher: © Cambridge University Press
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
Abstract: 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.
Description: 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
Version: Published
DOI: 10.1017/S002211209500440X
URI: https://dspace.lboro.ac.uk/2134/4269
ISSN: 0022-1120
Appears in Collections:Published Articles (Maths)

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