Journal
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
Volume 43, Issue 6, Pages 1027-1044Publisher
EDP SCIENCES S A
DOI: 10.1051/m2an/2009016
Keywords
Wetting; contact angle hysteresis; super-hydrophobic surfaces
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Funding
- EU [MRTN-CT-2004-505226]
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We present a phase field approach to wetting problems, related to the minimization of capillary energy. We discuss in detail both the Gamma-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.
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