 | | 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
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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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 |
| Link to Fulltext |
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