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

Patrick Ciarlet Jr.; Claire Scheid

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 44, Issue: 4, page 647-670
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Ciarlet Jr., Patrick, and Scheid, Claire. "Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields." ESAIM: Mathematical Modelling and Numerical Analysis 44.4 (2010): 647-670. <http://eudml.org/doc/250760>.

@article{CiarletJr2010,
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. },
author = {Ciarlet Jr., Patrick, Scheid, Claire},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Electrowetting; energy minimization; contact angle; error estimates; electrowetting},
language = {eng},
month = {6},
number = {4},
pages = {647-670},
publisher = {EDP Sciences},
title = {Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields},
url = {http://eudml.org/doc/250760},
volume = {44},
year = {2010},
}

TY - JOUR
AU - Ciarlet Jr., Patrick
AU - Scheid, Claire
TI - Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/6//
PB - EDP Sciences
VL - 44
IS - 4
SP - 647
EP - 670
AB - 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.
LA - eng
KW - Electrowetting; energy minimization; contact angle; error estimates; electrowetting
UR - http://eudml.org/doc/250760
ER -

References

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