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Nanoscale fluid structure of liquid-solid-vapour contact lines for a wide range of contact angles

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journal contribution
posted on 10.04.2015, 10:04 by Andreas Nold, David Sibley, Benjamin D. Goddard, Serafim Kalliadasis
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.

Funding

ERC Advanced Grant No. 247031 and Imperial College through a DTG International Studentship

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Mathematical Modelling of Natural Phenomena (MMNP)

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.

Publisher

© EDP Sciences. Published by Cambridge University Press.

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2015

Notes

This paper is in press in Mathematical Modelling of Natural Phenomena http://journals.cambridge.org/action/displayJournal?jid=MNP

ISSN

0973-5348

Language

en