2013/07/31 by David N. Sibley, Andreas Nold, Nikos Savva +1 · 1 citation
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Fluid Dynamics and Thin Films #Nanomaterials and Printing Technologies #Surface Modification and Superhydrophobicity #math-ph #math.MP #physics.flu-dyn
paper · pdf · doi:10.1007/s10665-014-9702-9
29 pages, 3 figures, J. Eng. Math. 2014
openalex publication_date 2014/08/29 · arxiv created 2014/09/01 · arxiv updated 2014/09/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The motion of a contact line is examined, and comparisons drawn, for a variety of models proposed in the literature. Pressure and stress behaviours at the contact line are examined in the prototype system of quasistatic spreading of a thin two-dimensional droplet on a planar substrate. The models analysed include three disjoining pressure models based on van der Waals interactions, a model introduced for polar fluids, and a liquid-gas diffuse-interface model; Navier-slip and two non-linear slip models are investigated, with three microscopic contact angle boundary conditions imposed (two of these contact angle conditions having a contact line velocity dependence); and the interface formation model is also considered. In certain parameter regimes it is shown that all of the models predict the same quasistatic droplet spreading behaviour.