caa a22 4500 60616667X CHVBK 20210128100659.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s10665-014-9702-9 doi (NATIONALLICENCE)springer-10.1007/s10665-014-9702-9 A comparison of slip, disjoining pressure, and interface formation models for contact line motion through asymptotic analysis of thin two-dimensional droplet spreading [Elektronische Daten] [David Sibley, Andreas Nold, Nikos Savva, Serafim Kalliadasis] 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. Springer Science+Business Media Dordrecht, 2014 Contact line nationallicence Diffuse interface nationallicence Disjoining pressure nationallicence Interface formation nationallicence Precursor film nationallicence Slip nationallicence Sibley David Department of Chemical Engineering, Imperial College London, SW7 2AZ, London, UK aut Nold Andreas Department of Chemical Engineering, Imperial College London, SW7 2AZ, London, UK aut Savva Nikos School of Mathematics, Cardiff University, Senghennydd Road, CF24 4AG, Cardiff, UK aut Kalliadasis Serafim Department of Chemical Engineering, Imperial College London, SW7 2AZ, London, UK aut Journal of Engineering Mathematics Springer Netherlands 94/1(2015-10-01), 19-41 0022-0833 94:1<19 2015 94 10665 https://doi.org/10.1007/s10665-014-9702-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10665-014-9702-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sibley David Department of Chemical Engineering, Imperial College London, SW7 2AZ, London, UK aut NATIONALLICENCE 700 1- Nold Andreas Department of Chemical Engineering, Imperial College London, SW7 2AZ, London, UK aut NATIONALLICENCE 700 1- Savva Nikos School of Mathematics, Cardiff University, Senghennydd Road, CF24 4AG, Cardiff, UK aut NATIONALLICENCE 700 1- Kalliadasis Serafim Department of Chemical Engineering, Imperial College London, SW7 2AZ, London, UK aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 94/1(2015-10-01), 19-41 0022-0833 94:1<19 2015 94 10665