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Electrified coating flows on vertical fibres: enhancement or suppression of interfacial dynamics

Published online by Cambridge University Press:  24 October 2013

A. W. Wray ,
D. T. Papageorgiou  and
O. K. Matar
A. W. Wray
Affiliation:
Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK
D. T. Papageorgiou
Affiliation:
Department of Mathematics, Imperial College London, South Kensington Campus, London SW7 2BZ, UK
O. K. Matar*
Affiliation:
Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK
*
†Email address for correspondence: o.matar@imperial.ac.uk
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Abstract

We investigate the evolution and stability of a wetting viscous fluid layer flowing down the surface of a cylinder, and surrounded by a conductive gas. The inner cylinder is an electrode kept at constant voltage, and a second, concentric electrode encloses the system whose potential is allowed to vary spatially. This induces electrostatic forces at the interface in competition with surface tension and viscous stresses. Asymptotic methods are used to derive a long-wave axisymmetric model governing the interfacial position and charge density. The resulting system of equations is investigated both analytically and numerically to determine its stability characteristics in the linear and nonlinear regimes.

JFM classification

Interfacial Flows (free surface): Interfacial Flows (free surface) MHD and Electrohydrodynamics: MHD and Electrohydrodynamics Interfacial Flows (free surface): Thin films

Information

Type
Papers
Information
Journal of Fluid Mechanics , Volume 735 , 25 November 2013 , pp. 427 - 456
Copyright
©2013 Cambridge University Press 

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