Journal
JOURNAL OF ENGINEERING MATHEMATICS
Volume 94, Issue 1, Pages 19-41Publisher
SPRINGER
DOI: 10.1007/s10665-014-9702-9
Keywords
Contact line; Diffuse interface; Disjoining pressure; Interface formation; Precursor film; Slip
Funding
- ERC Advanced Grant [247031]
- Imperial College London through a DTG International Studentship
- Engineering and Physical Sciences Research Council [1369606] Funding Source: researchfish
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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.
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