On the physically based modeling of surface tension and moving contact lines with dynamic contact angles on the continuum scale.pdfVIP

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On the physically based modeling of surface tension and moving contact lines with dynamic contact angles on the continuum scale.pdf

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On the physically based modeling of surface tension and moving contact lines with dynamic contact angles on the continuum scale.pdf

Journal of Computational Physics 310 (2016) 459–477 Contents lists available at ScienceDirect Journal of Computational Physics /locate/jcp On the physically based modeling of surface tension and moving contact lines with dynamic contact angles on the continuum scale M. Huber a,?, F. Keller a, W. S?ckel a, M. Hirschler a, P. Kunz a, S.M. Hassanizadeh b, U. Nieken a a Institute of Chemical Process Engineering, University of Stuttgart, Boeblinger Str. 78, 70199 Stuttgart, Germany b Department of Earth Sciences, Faculty of Geosciences, Utrecht University, P.O. Box 80021, 3508 TA Utrecht, The Netherlands article info Article history: Received 17 July 2015 Received in revised form 18 January 2016 Accepted 23 January 2016 Available online 26 January 2016 Keywords: SPH Two-phase ?ow Surface tension Moving contact line Dynamic contact angle CSF CLF abstract The description of wetting phenomena is a challenging problem on every considerable length-scale. The behavior of interfaces and contact lines on the continuum scale is caused by intermolecular interactions like the Van der Waals forces. Therefore, to describe surface tension and the resulting dynamics of interfaces and contact lines on the continuum scale, appropriate formulations must be developed. While the Continuum Surface Force (CSF) model is well-engineered for the description of interfaces, there is still a lack of treatment of contact lines, which are de?ned by the intersection of an ending ?uid interface and a solid boundary surface. In our approach we use a balance equation for the contact line and extend the Navier–Stokes equations in analogy to the extension of a two-phase interface in the CSF model. Since this model depicts a physically motivated approach on the continuum scale, no ?tting parameters are introduced and the deterministic description leads to a dynamical evolution of the system. As veri?cation of our theory, we show a Smoothed Particle Hydrodynamics (SPH) model and simulate the evolution of dro