the interaction on waves.pdf (1.19 MB)
The interaction of waves with horizontal cylinders in two-layer fluids
journal contribution
posted on 2009-02-24, 14:34 authored by Christopher LintonChristopher Linton, Maureen McIverWe 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. 213-229Publisher
© Cambridge University PressVersion
- VoR (Version of Record)
Publication date
1995Notes
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/S002211209500440XISSN
0022-1120Language
- en