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Exciting forces due to interaction of water waves with a submerged sphere in an ice-covered two-layer fluid of finite depth

Mohapatra, S and Bora, SN (2012) Exciting forces due to interaction of water waves with a submerged sphere in an ice-covered two-layer fluid of finite depth. In: Applied Ocean Research, 34 . pp. 187-197.

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Official URL: http://dx.doi.org/10.1016/j.apor.2011.07.008

Abstract

Scattering of water waves by a sphere in a two-layer fluid, where the upper layer has an ice-cover modelled as an elastic plate of very small thickness, while the lower one has a rigid horizontal bottom surface, is investigated within the framework of linearized water wave theory. The effects of surface tension at the surface of separation is neglected. There exist two modes of time-harmonic waves - the one with lower wave number propagating along the ice-cover and the one with higher wave number along the interface. Method of multipole expansions is used to find the particular solution for the problem of wave scattering by a submerged sphere placed in either of the layers. The exciting forces for vertical and horizontal directions are derived and plotted against different values of the wave number for different submersion depths of the sphere and flexural rigidity of the ice-cover. When the flexural rigidity and the density of the ice-cover are taken to be zero, the numerical results for the exciting forces for the problem with free surface are recovered as particular cases. (C) 2011 Elsevier Ltd. All rights reserved.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Elsevier Science.
Keywords: Two-layer fluid;Ice-cover;Multipole expansions;Scattering; Exciting forces
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 04 Apr 2012 09:51
Last Modified: 04 Apr 2012 09:51
URI: http://eprints.iisc.ernet.in/id/eprint/44184

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