We present a phase field approach to wetting problems, related to the minimization of capillary energy. We discuss in detail both the -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.
Mots clés : wetting, contact angle hysteresis, super-hydrophobic surfaces
@article{M2AN_2009__43_6_1027_0,
author = {Turco, Alessandro and Alouges, Fran\c{c}ois and DeSimone, Antonio},
title = {Wetting on rough surfaces and contact angle hysteresis : numerical experiments based on a phase field model},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {1027--1044},
publisher = {EDP-Sciences},
volume = {43},
number = {6},
year = {2009},
doi = {10.1051/m2an/2009016},
mrnumber = {2588431},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an/2009016/}
}
TY - JOUR AU - Turco, Alessandro AU - Alouges, François AU - DeSimone, Antonio TI - Wetting on rough surfaces and contact angle hysteresis : numerical experiments based on a phase field model JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2009 SP - 1027 EP - 1044 VL - 43 IS - 6 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2009016/ DO - 10.1051/m2an/2009016 LA - en ID - M2AN_2009__43_6_1027_0 ER -
%0 Journal Article %A Turco, Alessandro %A Alouges, François %A DeSimone, Antonio %T Wetting on rough surfaces and contact angle hysteresis : numerical experiments based on a phase field model %J ESAIM: Modélisation mathématique et analyse numérique %D 2009 %P 1027-1044 %V 43 %N 6 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2009016/ %R 10.1051/m2an/2009016 %G en %F M2AN_2009__43_6_1027_0
Turco, Alessandro; Alouges, François; DeSimone, Antonio. Wetting on rough surfaces and contact angle hysteresis : numerical experiments based on a phase field model. ESAIM: Modélisation mathématique et analyse numérique, Tome 43 (2009) no. 6, pp. 1027-1044. doi : 10.1051/m2an/2009016. http://www.numdam.org/articles/10.1051/m2an/2009016/
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