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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.
|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◦
]. 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
|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|
|Publisher Link: ||http://dx.doi.org/10.1051/mmnp/201510407|
|Appears in Collections:||Published Articles (Maths)|
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