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.
| Original language | English |
|---|---|
| Article number | 041603 |
| Number of pages | 15 |
| Journal | Physical Review E |
| Volume | 80 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 16 Oct 2009 |
Bibliographical note
© 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