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 ORCID: https://orcid.org/0000-0003-1549-3154 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 , 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:	Springer Verlag
ISSN:	0022-0833
Date of Acceptance:	9 April 2014
Last Modified:	27 Oct 2022 08:59
URI:	https://orca.cardiff.ac.uk/id/eprint/64016

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