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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 1, Pages 47–53
(Mi vmumm44)
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This article is cited in 2 scientific papers (total in 2 papers)
Mechanics
Stability of a conducting liquid film flowing down in a variable electric field
E. I. Mogilevskii, V. Ya. Shkadov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
In the paper we consider the thin conducting viscous liquid film flow down along one of the plates of a capacitor connected to an AC power supply. It is shown that the presence of the electric field leads to the destabilization of the flow; moreover, the parametric resonance of capillary waves is observed.
Key words:
thin films, electric field, parametric resonance, Floquet theory.
Received: 23.11.2015
Citation:
E. I. Mogilevskii, V. Ya. Shkadov, “Stability of a conducting liquid film flowing down in a variable electric field”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 1, 47–53; Moscow University Mechanics Bulletin, 72:1 (2017), 13–18
Linking options:
https://www.mathnet.ru/eng/vmumm44 https://www.mathnet.ru/eng/vmumm/y2017/i1/p47
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