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 Issues2017-2pp.148-156

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V.F. Kopiev, S.A. Chernyshev, and M.A. Yudin, "Instability of a cylinder in the circulation flow of incompressible ideal fluid," J. Appl. Math. Mech. 81 (2), 148-156 (2017)
Year 2017 Volume 81 Issue 2 Pages 148-156
DOI 10.1016/j.jappmathmech.2017.08.007
Title Instability of a cylinder in the circulation flow of incompressible ideal fluid
Author(s) V.F. Kopiev (Zhukovskii Central Aerohydrodynamic Institute, Moscow, vkopiev@mktsagi.ru)
S.A. Chernyshev (Zhukovskii Central Aerohydrodynamic Institute, Moscow)
M.A. Yudin (Zhukovskii Central Aerohydrodynamic Institute, Moscow; Moscow Institute of Physics and Technology, Dolgoprudnyi)
Abstract Within the framework of two-dimensional Euler equations, the stability is investigated of a system consisting of an inner unfastened round cylinder, an incompressible fluid flow around this cylinder with circular streamlines, and an outer fastened cylinder (vessel). An equation is obtained for the natural frequencies with different mean flows between the cylinders. Accurate solutions of this equation are derived and an analysis of these solutions is given. An energetic investigation of the loss of stability in the system is carried out.
Received 15 January 2016
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