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 Issues2009-2pp.188-195

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Total articles in the database: 10482
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O.R. Kozyrev, S.N. Reznik, and Yu.A. Stepanyants, "The motion of a cylindrical body in a stratified fluid under the action of a radiation force," J. Appl. Math. Mech. 73 (2), 188-195 (2009)
Year 2009 Volume 73 Issue 2 Pages 188-195
Title The motion of a cylindrical body in a stratified fluid under the action of a radiation force
Author(s) O.R. Kozyrev (Nizhnii Novgorod, Russia, okozyrev@hse.ru)
S.N. Reznik (Nizhnii Novgorod, Russia)
Yu.A. Stepanyants (Nizhnii Novgorod, Russia)
Abstract The free motion of a thin cylindrical body is investigated based on a previously derived expression for the radiation force acting on moving point sources in a stratified fluid. The fundamental equations of motion are derived, the limits of applicability of the approximation used are indicated and the results of calculations of typical trajectories of a body which begins to move with a specified velocity from a position of neutral buoyancy at an angle to the horizon are presented. Calculations of the trajectory of motion of a thin cylindrical body in a stratified fluid when the total radiation force is taken into account show that the effect of the lateral component of this force is considerable and leads not only to quantitative corrections but also to qualitative effects (for example, to an increase in the oscillations of the body and a change in its direction of motion). The results obtained pertain both to the motion of solids in fluids and to the translational motion of vortex dipoles in weakly stratified media.
Received 23 September 2008
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