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Title: Nanoscale fluid structure of liquid-solid-vapour contact lines for a wide range of contact angles
Authors: Nold, Andreas
Sibley, David N.
Goddard, Benjamin D.
Kalliadasis, Serafim
Keywords: Adsorption
Contact line
Simple fluid
Disjoining pressure
Issue Date: 2015
Publisher: © EDP Sciences. Published by Cambridge University Press.
Citation: NOLD, A. ... et al., 2015. Nanoscale fluid structure of liquid-solid-vapour contact lines for a wide range of contact angles. Mathematical Modelling of Natural Phenomena (MMNP), 10(4), pp.111-125.
Abstract: We study the nanoscale behaviour of the density of a simple fluid in the vicinity of an equilibrium contact line for a wide range of Young contact angles θY ∈ [40◦ , 135◦ ]. Cuts of the density profile at various positions along the contact line are presented, unravelling the apparent step-wise increase of the film height profile observed in contour plots of the density. The density profile is employed to compute the normal pressure acting on the substrate along the contact line. We observe that for the full range of contact angles, the maximal normal pressure cannot solely be predicted by the curvature of the adsorption film height, but is instead softened – likely by the width of the liquid-vapour interface. Somewhat surprisingly however, the adsorption film height profile can be predicted to a very good accuracy by the Derjaguin-Frumkin disjoining pressure obtained from planar computations, as was first shown in [Nold et al., Phys. Fluids, 26, 072001, 2014] for contact angles θY < 90◦ , a result which here we show to be valid for the full range of contact angles. This suggests that while two-dimensional effects cannot be neglected for the computation of the normal pressure distribution along the substrate, one-dimensional planar computations of the Derjaguin-Frumkin disjoining pressure are sufficient to accurately predict the adsorption height profile.
Description: This paper is in press in Mathematical Modelling of Natural Phenomena http://journals.cambridge.org/action/displayJournal?jid=MNP
Sponsor: ERC Advanced Grant No. 247031 and Imperial College through a DTG International Studentship
Version: Accepted for publication
DOI: 10.1051/mmnp/201510407
URI: https://dspace.lboro.ac.uk/2134/17222
Publisher Link: http://dx.doi.org/10.1051/mmnp/201510407
ISSN: 0973-5348
Appears in Collections:Published Articles (Maths)

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