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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Volume 62, Issue 2, Pages 110–121
DOI: https://doi.org/10.15372/PMTF20210211 (Mi pmtf193) 		 
Azimutal waves in a flotating rotating viscous fluid

I. N. Soldatovab, N. V. Klyuevaab

a Institute of Applied Physics, Russian Academy of Sciences, 603950, Nizhny Novgorod, Russia
b Lobachevsky Nizhny Novgorod State University, 603022, Nizhny Novgorod, Russia
Full-text PDF (421 kB) First page
DOI: https://doi.org/10.15372/PMTF20210211
Abstract: Azimuthal gyroscopic waves in a floating liquid forming a centrifuged layer on the solid wall of a cylindrical rotor cavity are studied. The exact solution of the linearized hydrodynamic problem with a nonclassical boundary condition on the free surface is obtained. The dispersion equation is derived. The influence of the inertial surface of the liquid on stability of quasi-solid rotation of the centrifuged layer is studied.
Keywords: floating viscous fluid, azimuthal inertial (gyroscopic) waves in a centrifuge, dispersion equation.
Received: 11.09.2019
Revised: 13.07.2020
Accepted: 31.08.2020
English version:
Journal of Applied Mechanics and Technical Physics, 2021, Volume 62, Issue 2, Pages 273–282
DOI: https://doi.org/10.1134/S0021894421020115
Bibliographic databases:
Document Type: Article
UDC: 532.59: 534.1
Language: Russian
Citation: I. N. Soldatov, N. V. Klyueva, “Azimutal waves in a flotating rotating viscous fluid”, Prikl. Mekh. Tekh. Fiz., 62:2 (2021), 110–121; J. Appl. Mech. Tech. Phys., 62:2 (2021), 273–282
Citation in format AMSBIB
\Bibitem{SolKly21}
\by I.~N.~Soldatov, N.~V.~Klyueva
\paper Azimutal waves in a flotating rotating viscous fluid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2021
\vol 62
\issue 2
\pages 110--121
\mathnet{http://mi.mathnet.ru/pmtf193}
\crossref{https://doi.org/10.15372/PMTF20210211}
\elib{https://elibrary.ru/item.asp?id=45600947}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2021
\vol 62
\issue 2
\pages 273--282
\crossref{https://doi.org/10.1134/S0021894421020115}
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