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On the equilibrium contact angle of sessile liquid drops from molecular dynamics

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Title: On the equilibrium contact angle of sessile liquid drops from molecular dynamics
Authors: Ravipati, S
Aymard, B
Kalliadasis, S
Galindo, A
Item Type: Journal Article
Abstract: We present a new methodology to estimate the contact angles of sessile drops from molec- ular simulations, by using the Gaussian convolution method of Willard and Chandler (J. Phys. Chem. B, Vol. 114, 1954-1958, 2010) to calculate the coarse-grained density from atomic coordinates. The iso-density contour with average coarse-grained density value equal to half of the bulk liquid density is identified as the average liquid-vapor (LV) inter- face. Angles between the unit normal vectors to the average LV interface and unit normal vector to the solid surface, as a function of the distance normal to the solid surface, are calculated. The cosines of these angles are extrapolated to the three-phase contact line to estimate the sessile drop contact angle. The proposed methodology, which is relatively easy to implement, is systematically applied to three systems: (i) a Lennard-Jones (LJ) drop on a featureless LJ 9 - 3 surface; (ii) an SPC/E water drop on a featureless LJ 9 - 3 sur- face; and (iii) an SPC/E water drop on a graphite surface. The sessile drop contact angles estimated with our methodology for the first two systems, are shown to be in good agree- ment with the angles predicted from Young’s equation. The interfacial tensions required for this equation are computed by employing the test-area perturbation method for the cor- responding planar interfaces. Our findings suggest that the widely adopted spherical-cap approximation should be used with caution, as it could take a long time for a sessile drop to relax to a spherical shape, of the order of 100 ns, especially for water molecules initiated in a lattice configuration on a solid surface. But even though a water drop can take a long time to reach the spherical shape, we find that the contact angle is well established much faster and the drop evolves towards the spherical shape following a constant-contact-angle relaxation dynamics. Making use of this observation, our methodology allows a good es- timation of the sessile drop contact angle values even for moderate system sizes (with e.g. 4 , 000 molecules), without the need for long simulation times to reach the spherical shape.
Issue Date: 28-Apr-2018
Date of Acceptance: 26-Mar-2018
URI: http://hdl.handle.net/10044/1/58618
DOI: https://dx.doi.org/10.1063/1.5021088
ISSN: 0021-9606
Publisher: AIP Publishing
Journal / Book Title: Journal of Chemical Physics
Volume: 148
Copyright Statement: © 2018 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Commission of the European Communities
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/E016340/1
247031
EP/J014958/1
EP/L020564/1
EP/L027186/1
Keywords: Science & Technology
Physical Sciences
Chemistry, Physical
Physics, Atomic, Molecular & Chemical
Chemistry
Physics
SMOOTHED PARTICLE HYDRODYNAMICS
LENNARD-JONES LIQUIDS
WETTING TRANSITION
TEXTURED SURFACES
WATER
NANODROPLETS
POTENTIALS
INTERFACES
GRAPHITE
TENSION
02 Physical Sciences
03 Chemical Sciences
09 Engineering
Chemical Physics
Publication Status: Published
Article Number: 164704
Online Publication Date: 2018-04-25
Appears in Collections:Faculty of Engineering
Chemical Engineering



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