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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020 Number 4, Pages 43–50 (Mi vmumm4340)

This article is cited 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

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.

UDC: 532.516

Received: 30.01.2019


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2020, 75:4, 102–109

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