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

Sibley, David N., Nold, Andreas, Savva, Nikos and Kalliadasis, Serafim 2015. A comparison of slip, disjoining pressure, and interface formation models for contact line motion through asymptotic analysis of thin two-dimensional droplet spreading. Journal of Engineering Mathematics 94 (1) , pp. 19-41. 10.1007/s10665-014-9702-9

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Abstract

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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: SpringerLink
ISSN: 0022-0833
Last Modified: 13 Mar 2019 12:32
URI: http://orca.cf.ac.uk/id/eprint/64016

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