Loughborough University
the interaction on waves.pdf (1.19 MB)

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

Download (1.19 MB)
journal contribution
posted on 2009-02-24, 14:34 authored by Christopher LintonChristopher 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.



  • Science


  • Mathematical Sciences


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


© Cambridge University Press


  • VoR (Version of Record)

Publication date



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




  • en

Usage metrics

    Loughborough Publications