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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2022, Volume 63, Issue 6, Pages 96–103
DOI: https://doi.org/10.15372/PMTF20220611 (Mi pmtf233) 		 
On rotation of a fluid layer

E. N. Zhuravlevaab, V. V. Pukhnachovab

a Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk, Russia
b Novosibirsk State University, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.15372/PMTF20220611
Abstract: A problem of rotation of a fluid layer bounded by a solid plane and a free surface parallel to this plane is considered. The fluid can be an ideal or a viscous fluid. Conditions for the existence of solutions of the corresponding problems for the Euler and Navier–Stokes equations on an infinite time interval are formulated. Examples of the numerical solution of the problem are presented.
Keywords: fluid flow with a free boundary, exact solutions.
Received: 21.04.2022
Revised: 21.04.2022
Accepted: 25.04.2022
English version:
Journal of Applied Mechanics and Technical Physics, 2022, Volume 63, Issue 6, Pages 988–994
DOI: https://doi.org/10.1134/S0021894422060116
Bibliographic databases:
Document Type: Article
UDC: 532.51
Language: Russian
Citation: E. N. Zhuravleva, V. V. Pukhnachov, “On rotation of a fluid layer”, Prikl. Mekh. Tekh. Fiz., 63:6 (2022), 96–103; J. Appl. Mech. Tech. Phys., 63:6 (2022), 988–994
Citation in format AMSBIB
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\by E.~N.~Zhuravleva, V.~V.~Pukhnachov
\paper On rotation of a fluid layer
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2022
\vol 63
\issue 6
\pages 96--103
\mathnet{http://mi.mathnet.ru/pmtf233}
\crossref{https://doi.org/10.15372/PMTF20220611}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4560673}
\elib{https://elibrary.ru/item.asp?id=49930293}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2022
\vol 63
\issue 6
\pages 988--994
\crossref{https://doi.org/10.1134/S0021894422060116}
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    References:16
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