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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2024, Volume 166, Book 1, Pages 99–110
DOI: https://doi.org/10.26907/2541-7746.2024.1.99-110 (Mi uzku1654) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the motion of a viscous liquid with a free boundary

V. L. Sennitskii

Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
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DOI: https://doi.org/10.26907/2541-7746.2024.1.99-110
Abstract: The problem of the non-stationary flow of a viscous liquid with an external free boundary around a moving solid cylindrical body was formulated and solved. The liquid is subject to periodic impacts with or without the predominant direction in space. To formulate the problem, the Navier—Stokes equation, the continuity equation, and the equation of conditions at both the solid and free boundaries of the liquid were used. New hydro-mechanical effects were discovered.
Keywords: viscous liquid, solid body, free boundary, periodic impacts, predominant direction in space, rotatory motion.
Received: 08.11.2023
Accepted: 19.01.2024
Document Type: Article
UDC: 532.516, 517.928
Language: Russian
Citation: V. L. Sennitskii, “On the motion of a viscous liquid with a free boundary”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 166, no. 1, Kazan University, Kazan, 2024, 99–110
Citation in format AMSBIB
\Bibitem{Sen24}
\by V.~L.~Sennitskii
\paper On the motion of a viscous liquid with a free boundary
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2024
\vol 166
\issue 1
\pages 99--110
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1654}
\crossref{https://doi.org/10.26907/2541-7746.2024.1.99-110}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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