Stability of a Falling Conducting Liquid Film in an Alternating Electric Field / E. I. Mogilevskii and V. Ya. Shkadov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2017. № 1. P. 47-53 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 13-18].
The flow of a thin viscous conducting liquid film falling along one of the plates of a vertically positioned plane capacitor is studied. The capacitor is connected to an alternating current power supply. It is shown that the presence of the electric field leads to flow destabilization; moreover, the parametric resonance of capillary waves is observed.
Key words: thin films, electric field, parametric resonance, Floquet theory.