Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2012-3pp.293-301

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I.V. Sturova, "The motion of a submerged sphere in a liquid under an ice sheet," J. Appl. Math. Mech. 76 (3), 293-301 (2012)
Year 2012 Volume 76 Issue 3 Pages 293-301
Title The motion of a submerged sphere in a liquid under an ice sheet
Author(s) I.V. Sturova (Novosibirsk, Russia, sturova@hydra.nsc.ru)
Abstract The solution of the linear steady problem of the flow of an inviscid, incompressible and infinitely deep liquid around a sphere under an ice sheet, which is modelled by a thin elastic stressed plate of constant thickness is constructed. Special cases of this problem are the motion of a submerged sphere under broken ice, a membrane, and also under the free surface both in the presence and absence of capillary effects. The method of multipole expansions is used in the framework of the linear potential wave theory. The hydrodynamic loads (the wave drag and the buoyancy) acting on the body and also the distribution of the deflections of the ice sheet are calculated as a function of the body velocity, the ice thickness and the value of the compressing or stretching forces. It is shown that all the flow characteristics depend considerably on the ratio of the body velocity and the critical velocity of flexural-gravitational waves.
Received 17 March 2011
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