Theory of rotating electrohydrodynamic flows in a liquid film

E. V. Shiryaeva, V. A. Vladimirov, M. Yu Zhukov

Research output: Contribution to journalArticle

15 Citations (Scopus)

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 Eout 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 | Eout | 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.

Original languageEnglish
Article number041603
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume80
Issue number4
DOIs
Publication statusPublished - Oct 16 2009

Fingerprint

Electrohydrodynamics
electrohydrodynamics
Rotating
Liquid
liquids
Thin Liquid Films
Reynolds Stress
External Field
Reynolds stress
Averaging
Electric Field
Directly proportional
Mathematical Model
mathematical models
Motion
Model
electric fields
causes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Theory of rotating electrohydrodynamic flows in a liquid film. / Shiryaeva, E. V.; Vladimirov, V. A.; Zhukov, M. Yu.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 80, No. 4, 041603, 16.10.2009.

Research output: Contribution to journalArticle

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