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Updated: Jun 18, 2026

The Preparation of Electrohydrodynamic Bridges from Polar Dielectric Liquids
Published on: September 30, 2014
Theory of rotating electrohydrodynamic flows in a liquid film
E V Shiryaeva1, V A Vladimirov, M Yu Zhukov
1Department of Mathematics, Mechanics and Computer Science, Southern Federal University, 344090 Rostov-on-Don, Russia. shir@ns.math.rsu.ru
Abstract:
The mathematical model of rotating electrohydrodynamic flows in a thin suspended liquid film is proposed and studied. The flows are driven by the given difference of potentials in one direction and constant external electric field E(out) in another direction in the plane of a film. To derive the model, we employ the spatial averaging over the normal coordinate to a film that leads to the average Reynolds stress that is proportional to |E(out)|3. This stress generates tangential velocity in the vicinity of the edges of a film that, in turn, causes the rotational motion of a liquid. The proposed model is used to explain the experimental observations of the liquid film motor.
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