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Interaction of a Solitary Wave with a Porous Elliptical Cylinder
Author(s) -
Basmat A.
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610281
Subject(s) - cylinder , diffraction , porosity , perturbation (astronomy) , mechanics , physics , plane wave , geometry , mathematical analysis , optics , classical mechanics , materials science , mathematics , composite material , quantum mechanics
In this paper the diffraction of a plane first order solitary wave by a vertical permeable elliptical cylinder is investigated and the corresponding wave loading is computed. The analytical model presented here is employs Boussinesq equations to describe the diffraction. The solution procedure is based on the perturbation theory, where a perturbation parameter defined in terms of the surface geometry of the cylinder is used. The flow through the porous cylinder is assumed to obey Darcy's law. The effects of porosity, relative wave length and the incident wave angle are discussed. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)