Multiscale simulations of sliding droplets

J. J. Derksen; A. E. Komrakova

doi:10.1007/s00707-018-2264-6

Multiscale simulations of sliding droplets

J. J. Derksen (Corresponding Author), A. E. Komrakova

Engineering

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Abstract

We study – through numerical simulations – a droplet sliding over a solid substrate as a result of a simple shear flow. We use a free-energy lattice-Boltzmann (LB) scheme and compare its results with those of molecular dynamics (MD) simulations. According to the MD, at sufficiently low Reynolds and capillary numbers, the dimensionless sliding speed is a unique function of the equilibrium contact angle. Reproducing the MD results with LB simulations requires the use of a non-equilibrium boundary condition at the substrate and tuning a free parameter in the boundary condition.

Original language	English
Pages (from-to)	657-666
Number of pages	10
Journal	Acta Mechanica
Volume	230
Issue number	2
Early online date	30 Oct 2018
DOIs	https://doi.org/10.1007/s00707-018-2264-6
Publication status	Published - Feb 2019

Keywords

wetting
immiscible liquids
interfacial tension
moving contact lines
molecular dynamics
free-energy lattice-Boltzmann method

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10.1007/s00707-018-2264-6Licence: CC BY

Multiscale simulations of sliding droplets
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Final published version, 1.58 MBLicence: CC BY

Cite this

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N2 - We study – through numerical simulations – a droplet sliding over a solid substrate as a result of a simple shear flow. We use a free-energy lattice-Boltzmann (LB) scheme and compare its results with those of molecular dynamics (MD) simulations. According to the MD, at sufficiently low Reynolds and capillary numbers, the dimensionless sliding speed is a unique function of the equilibrium contact angle. Reproducing the MD results with LB simulations requires the use of a non-equilibrium boundary condition at the substrate and tuning a free parameter in the boundary condition.

AB - We study – through numerical simulations – a droplet sliding over a solid substrate as a result of a simple shear flow. We use a free-energy lattice-Boltzmann (LB) scheme and compare its results with those of molecular dynamics (MD) simulations. According to the MD, at sufficiently low Reynolds and capillary numbers, the dimensionless sliding speed is a unique function of the equilibrium contact angle. Reproducing the MD results with LB simulations requires the use of a non-equilibrium boundary condition at the substrate and tuning a free parameter in the boundary condition.

KW - wetting

KW - immiscible liquids

KW - interfacial tension

KW - moving contact lines

KW - molecular dynamics

KW - free-energy lattice-Boltzmann method

UR - http://www.mendeley.com/research/multiscale-simulations-sliding-droplets

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SP - 657

EP - 666

JO - Acta Mechanica

JF - Acta Mechanica

SN - 0001-5970

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Multiscale simulations of sliding droplets

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