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Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields

Published online by Cambridge University Press:  23 February 2010

Patrick Ciarlet Jr.  and
Claire Scheid
Patrick Ciarlet Jr.
Affiliation:
Laboratoire POEMS, UMR 7231 CNRS/ENSTA/INRIA, ENSTA ParisTech, 32 boulevard Victor, 75739 Paris Cedex 15, France. patrick.ciarlet@ensta.fr
Claire Scheid
Affiliation:
CMA c/o Dept. of Math., University of Oslo, P.O. Box 1053 Blindern, 0316 Oslo, Norway. claire.scheid@cma.uio.no Laboratoire Jean-Alexandre Dieudonné, Université de Nice Sophia-Antipolis, 06108 Nice Cedex 02, France. Claire.SCHEID@unice.fr
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Abstract

The electrowetting process is commonly used to handle very small amounts of liquid on a solid surface. This process can be modelled mathematically with the help of the shape optimization theory. However, solving numerically the resulting shape optimization problem is a very complex issue, even for reduced models that occur in simplified geometries. Recently, the second author obtained convincing results in the 2D axisymmetric case. In this paper, we propose and analyze a method that is suitable for the full 3D case.

Keywords

Electrowettingenergy minimizationcontact angleerror estimates
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 44 , Issue 4 , July 2010 , pp. 647 - 670
Copyright
© EDP Sciences, SMAI, 2010

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