A comparison of slip, disjoining pressure, and interface formation models for contact line motion through asymptotic analysis of thin two-dimensional droplet spreading

作者：Sibley David N; Nold Andreas; Savva Nikos; Kalliadasis Serafim^*

来源：Journal of Engineering Mathematics, 2015, 94(1): 19-41.

DOI：10.1007/s10665-014-9702-9

• Contact line
• Diffuse interface
• Disjoining pressure
• Interface formation
• Precursor film
• Slip

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.

• 出版日期2015-10