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Electrohydrodynamic instability in plane layers of fluid

Published online by Cambridge University Press:  29 March 2006

D. H. Michael  and
M. E. O'Neill
D. H. Michael
Affiliation:
Department of Mathematics, University College, London
M. E. O'Neill
Affiliation:
Department of Mathematics, University College, London
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Abstract

The instability of a plane layer of non-conducting fluid which is in hydrostatic equilibrium between two semi-infinite conducting fluids with surface charges is discussed for both inviscid and viscous fluid models. It is shown that for both the inviscid and viscous fluid cases, the criteria for instability are the same. Consideration is given to the relevance of the results in explaining the mechanism by which the presence of an electric field promotes more readily the coalescence of water droplets on a water surface by viewing the onset of disruption of the air film as the instability of the air film under the action of the electrostatic field produced by the surface charges on the water surfaces.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 41 , Issue 3 , 29 April 1970 , pp. 571 - 580
Copyright
© 1970 Cambridge University Press

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References

Jayaratne, O. W. & Mason, B. J. 1964 Proc. Roy. Soc. A 280, 545.
Michael, D. H. 1968 Proc. Camb. Phil. Soc. 64, 527.