Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 4, Pages 43–50 (Mi vmumm4340)  
This article is cited in 3 scientific papers (total in 3 papers)

Mechanics

Equilibrium of liquid drop on rotating disc

P. N. Konona, E. I. Mogilevskiib, G. N. Sitskoa, V. Ya. Shkadovb

a Belarusian State University, Faculty of Mathematics and Mechanics
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: In this paper, we consider the equilibrium of a finite volume of liquid on a horizontal rotation surface due to gravity and centrifugal forces under the action of surface tension. It is shown that a solution exits if the angular velocity is less than a critical value. For large droplets, the angular velocity is estimated analytically.
Key words: droplet, surface tension, equilibrium, centrifugal force.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00762
18-51-00006
Belarusian Republican Foundation for Fundamental Research Ф18Р-225
Received: 30.01.2019
English version:
Moscow University Mechanics Bulletin, 2020, Volume 75, Issue 4, Pages 102–109
DOI: https://doi.org/10.3103/S0027133020040044
Bibliographic databases:
Document Type: Article
UDC: 532.516
Language: Russian
Citation: P. N. Konon, E. I. Mogilevskii, G. N. Sitsko, V. Ya. Shkadov, “Equilibrium of liquid drop on rotating disc”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 4, 43–50; Moscow University Mechanics Bulletin, 75:4 (2020), 102–109
Citation in format AMSBIB
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\by P.~N.~Konon, E.~I.~Mogilevskii, G.~N.~Sitsko, V.~Ya.~Shkadov
\paper Equilibrium of liquid drop on rotating disc
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2020
\issue 4
\pages 43--50
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\zmath{https://zbmath.org/?q=an:1472.76122}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2020
\vol 75
\issue 4
\pages 102--109
\crossref{https://doi.org/10.3103/S0027133020040044}
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    • This publication is cited in the following 3 articles:
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