Lattice-Boltzmann simulations of the dynamics of liquid barrels

Ruiz Gutierrez, Elfego and Ledesma Aguilar, Rodrigo (2020) Lattice-Boltzmann simulations of the dynamics of liquid barrels. Journal of Physics: Condensed Matter, 32 (21). p. 214007. ISSN 0953-8984

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Ruiz-Gutiérrez+et+al_2020_J._Phys.__Condens._Matter_10.1088_1361-648X_ab7034.pdf - Accepted Version
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Official URL: https://doi.org/10.1088/1361-648x/ab7034

Abstract

We study the relaxation towards equilibrium of a liquid barrel—a partially wetting droplet in a wedge geometry—using a diffuse-interface approach. We formulate a hydrodynamic model of the motion of the barrel in the framework of the Navier-Stokes and Cahn-Hilliard equations of motion. We present a lattice-Boltzmann method to integrate the diffuse-interface equations, where we introduce an algorithm to model the dynamic wetting of the liquid on smooth solid boundaries. We present simulation results of the over-damped dynamics of the liquid barrel. We find that the relaxation of the droplets is driven by capillary forces and damped by friction forces. We show that the friction is determined by the contribution of the bulk flow, the corner flow near the contact lines and the motion of the contact lines by comparing simulation results for the relaxation time of the barrel. Our results are in broad agreement with previous analytical predictions based on a sharp interface model.

Item Type: Article
Uncontrolled Keywords: Confined droplets, droplet motion, lattice-Boltzmann simulations, capillary flows, liquid bridges
Subjects: F200 Materials Science
F300 Physics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Elena Carlaw
Date Deposited: 28 Jan 2020 15:27
Last Modified: 30 Mar 2020 15:00
URI: http://nrl.northumbria.ac.uk/id/eprint/41977

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