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Wetting on rough surfaces and contact angle hysteresis: numerical experiments based on a phase field model

Published online by Cambridge University Press:  12 June 2009

Alessandro Turco ,
François Alouges  and
Antonio DeSimone
Alessandro Turco
Affiliation:
Scuola Internazionale Superiore di Studi Avanzati, Via Beirut 2, 34014 Trieste, Italy. desimone@sissa.it
François Alouges
Affiliation:
Université Paris XI, 91405 Orsay Cedex, France.
Antonio DeSimone
Affiliation:
Scuola Internazionale Superiore di Studi Avanzati, Via Beirut 2, 34014 Trieste, Italy. desimone@sissa.it
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Abstract

We present a phase field approach to wetting problems, related to the minimization of capillary energy. We discuss in detail both the Γ-convergence results on which our numerical algorithm are based, and numerical implementation. Two possible choices of boundary conditions, needed to recover Young's law for the contact angle, are presented. We also consider an extension of the classical theory of capillarity, in which the introduction of a dissipation mechanism can explain and predict the hysteresis of the contact angle. We illustrate the performance of the model by reproducing numerically a broad spectrum of experimental results: advancing and receding drops, drops on inclined planes and superhydrophobic surfaces.

Keywords

Wettingcontact angle hysteresissuper-hydrophobic surfaces.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 43 , Issue 6 , November 2009 , pp. 1027 - 1044
Copyright
© EDP Sciences, SMAI, 2009

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