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 Issues2017-5pp.390-394

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E.K. Lavrovskii and V.V. Fominykh, "The angular motion of oceanic vortex formations," J. Appl. Math. Mech. 81 (5), 390-394 (2017)
Year 2017 Volume 81 Issue 5 Pages 390-394
DOI 10.1016/j.jappmathmech.2018.03.007
Title The angular motion of oceanic vortex formations
Author(s) E.K. Lavrovskii (Scientific Research Institute of Mechanics, Lomonosov Moscow State University, Moscow, Russia, lavrov@imec.msu.ru)
V.V. Fominykh (Scientific Research Institute of Mechanics, Lomonosov Moscow State University, Moscow, Russia, vva46@mail.ru)
Abstract Within the framework of the rigid body hypothesis, the influence of external torques acting on a rotating water lens in a stratified ocean is examined and a hypothesis about the angular motion of objects of such kind is constructed. The structure of the external torques acting on the lens is investigated and their magnitudes and influence on the overall picture of the motion of the lens about its centre of mass are estimated. It is shown that the hydrostatic buoyancy torque is the most important of such torques, it being orders of magnitude greater than the Coriolis torque and the torque due to virtual masses, and also the gravitational torque and other torques. The friction torque can promote stabilization of the angular motion and lead to the appearance of a steady regime. The results obtained are in agreement with the observed motion of oceanic formations.
Keywords rigid body hypothesis; torque; point mass
Received 20 March 2014
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