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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 tothe minimization of capillary energy. We discuss in detail boththe Γ-convergence results on which our numerical algorithmare based, and numerical implementation. Two possible choices ofboundary conditions, needed to recover Young's law for the contactangle, are presented. We also consider an extension of theclassical theory of capillarity, in which the introduction of adissipation mechanism can explain and predict the hysteresis ofthe contact angle. We illustrate the performance of the model byreproducing numerically a broad spectrum of experimental results:advancing and receding drops, drops on inclined planes andsuperhydrophobic 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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