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Theory of rotating electrohydrodynamic flows in a liquid film

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JournalPhysical Review E
DatePublished - 16 Oct 2009
Issue number4
Volume80
Number of pages15
Original languageEnglish

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 vertical bar E-out vertical bar(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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© 2009 The American Physical Society. Reproduced in accordance with the publisher's self-archiving policy.

    Research areas

  • electrohydrodynamics, liquid films, liquid theory, ELECTROKINETIC TRANSPORT, CONDUCTIVITY GRADIENTS, COMPUTER-SIMULATIONS, ELECTROOSMOTIC FLOWS, INSTABILITY, MICROCHANNELS, MODEL, ELECTROPHORESIS, MICROFLUIDICS, ELCTROOSMOSIS

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