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Unsteady three-dimensional sources in deep water with an elastic cover and their applications

Published online by Cambridge University Press:  01 August 2013

Izolda V. Sturova
Izolda V. Sturova*
Affiliation:
Lavrentyev Institute of Hydrodynamics, av. Lavrentyev 15, 630090 Novosibirsk, Russia
*
†Email address for correspondence: sturova@hydro.nsc.ru
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Abstract

The velocity potential is derived for a transient source of arbitrary strength undergoing arbitrary three-dimensional motion. The initially quiescent fluid of infinite depth is assumed to be inviscid, incompressible and homogeneous. The upper surface of the fluid is covered by a thin layer of elastic material of uniform density with lateral stress. The linearized initial boundary-value problem is formulated within the framework of the potential-flow theory, and the Laplace transform technique is employed to obtain the solution. The potential of a time-harmonic source with forward speed is obtained as a particular case. The far-field wave motion at long time is determined via the method of stationary phase. The problems of radiation (surge, sway and heave) of the flexural–gravity waves by a submerged sphere advancing at constant forward speed are investigated. The method of multipole expansions is used. Numerical results are obtained for the wave-making resistance and lift, added-mass and damping coefficients. The effects of an ice sheet and broken ice on the hydrodynamic loads are discussed in detail.

JFM classification

Waves/Free-surface Flows: Elastic waves Geophysical and Geological Flows: Ice sheets Waves/Free-surface Flows: Waves/Free-surface Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 730 , 10 September 2013 , pp. 392 - 418
Copyright
©2013 Cambridge University Press 

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