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.
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
\Bibitem{MogShk17}
\by E.~I.~Mogilevskii, V.~Ya.~Shkadov
\paper Stability of a conducting liquid film flowing down in a variable electric field
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2017
\issue 1
\pages 47--53
\mathnet{http://mi.mathnet.ru/vmumm44}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2017
\vol 72
\issue 1
\pages 13--18
\crossref{https://doi.org/10.3103/S0027133017010034}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85016102584}
Linking options:
https://www.mathnet.ru/eng/vmumm44
https://www.mathnet.ru/eng/vmumm/y2017/i1/p47
This publication is cited in the following 2 articles:
E. A. Demekhin, G. S. Ganchenko, E. V. Gorbacheva, S. Amiroudine, “Stability of two layers dielectric-electrolyte microflow subjected to an alternating external electric field”, Electrophoresis, 39:14 (2018), 1777–1785
Bandopadhyay A., Hardt S., “Stability of Horizontal Viscous Fluid Layers in a Vertical Arbitrary Time Periodic Electric Field”, Phys. Fluids, 29:12 (2017), 124101
Citation in format AMSBIB
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