Numerical simulation of static and sliding drop with contact angle hysteresis

Authors:
Jean-Baptiste Dupont;Dominique Legendre
Affiliations:
Université de Toulouse, INPT, UPS, Institut de Mécanique des Fluides de Toulouse (IMFT), Allée Camille Soula, F-31400 Toulouse, France and CNRS, IMFT, F-31400 Toulouse, France;Université de Toulouse, INPT, UPS, Institut de Mécanique des Fluides de Toulouse (IMFT), Allée Camille Soula, F-31400 Toulouse, France and CNRS, IMFT, F-31400 Toulouse, France
Venue:
Journal of Computational Physics
Year:
2010

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Abstract

A numerical ''macroscopic-scale'' method for static (including hysteresis) and moving contact lines for partially wetting liquids is presented. The numerical method is based on the implementation of a ''sub-grid'' description of the contact line that consists in imposing the apparent angle for static and moving contact lines. The numerical simulations are validated against several well controlled bi-dimensional situations: the equilibrium shape of a drop released on a hydrophobic or hydrophilic wall, the axisymmetric spreading of a drop for a partially wetting liquid, the migration of a drop placed on a inclined wall and submitted to a Couette or Poiseuille flow.