Shiryaeva, E. V., Vladimirov, V. A. and Zhukov, M. Yu. (2009) Theory of rotating electrohydrodynamic flows in a liquid film. Physical Review E. 041603. ISSN 1550-2376
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.
Metadata
Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2009 The American Physical Society. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | electrohydrodynamics, liquid films, liquid theory, ELECTROKINETIC TRANSPORT, CONDUCTIVITY GRADIENTS, COMPUTER-SIMULATIONS, ELECTROOSMOTIC FLOWS, INSTABILITY, MICROCHANNELS, MODEL, ELECTROPHORESIS, MICROFLUIDICS, ELCTROOSMOSIS |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 16 Jul 2014 13:21 |
Last Modified: | 06 Dec 2023 10:50 |
Published Version: | https://doi.org/10.1103/PhysRevE.80.041603 |
Status: | Published |
Refereed: | Yes |
Identification Number: | https://doi.org/10.1103/PhysRevE.80.041603 |
Related URLs: |
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