Section
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Mechanics
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Title
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Wave diffraction on the surface of viscous liquid flowing around a circular cylinder
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Author(-s)
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Butakova N.N.a,
Sycheva E.M.a
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Affiliations
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Tyumen State Universitya
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Abstract
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The motion of fluid due to the interaction of an incident gravitational wave spreading on the surface of viscous incompressible fluid with a circular cylinder having vertical elements is considered. A nonlinear boundary-value problem is reduced to determining the vertical component of a velocity vector represented by a sum of potential and rotational parts. The problem is solved for the small-amplitude oscillations. The comparison of the velocity field between the ideal and viscous liquids is made.
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Keywords
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diffraction, viscosity, wave motion of liquid
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UDC
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532.591
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MSC
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76D33
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DOI
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10.20537/vm150111
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Received
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31 January 2015
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Language
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Russian
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Citation
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Butakova N.N., Sycheva E.M. Wave diffraction on the surface of viscous liquid flowing around a circular cylinder, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2015, vol. 25, issue 1, pp. 101-106.
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References
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- Haskind M.D. Gidrodinamicheskaya teoriya kachki korablya (The hydrodynamic theory of rolling ship), Moscow: Nauka, 1973, 328 p.
- Kochin N.E., Kibel' I.A., Roze N.V. Teoreticheskaya gidromekhanika, Chast' 2 (Theoretical hydromechanics, vol. 2), Moscow: Fizmatgiz, 1963, 728 p.
- Batchelor G.K. Vvedenie v dinamiku zhidkosti (An introduction to fluid dynamics), Moscow: Mir, 1973, 793 p.
- Barinov V.A., Basinskii K.Yu. Modelling of wave movements of the viscous liquid, Vestn. Tyumen. Gos. Univ., 2009, no. 6, pp. 144-151.
- Levich V.G. Fiziko-khimicheskaya gidrodinamika (Physicochemical hydrodynamics), Moscow: Fizmatgiz, 1959, 700 p.
- Kochin N.E. Sobranie sochinenii, Tom 2 (Collected works, vol. 2), Moscow: Academy of Sciences of USSR, 1949, 305 p.
- Gradshtein I.S., Ryzhik I.M. Tablitsy integralov, summ, ryadov i proizvedenii (Tables of integrals, sums, series and products), Moscow: Fizmatgiz, 1963, 1100 p.
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Full text
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