Statics and dynamics of liquid barrels in wedge geometries

Ruiz-Gutierrez, Elfego, Semprebon, Ciro, McHale, Glen and Ledesma Aguilar, Rodrigo (2018) Statics and dynamics of liquid barrels in wedge geometries. Journal of Fluid Mechanics, 842. pp. 26-57. ISSN 0022-1120

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Official URL: https://doi.org/10.1017/jfm.2018.116

Abstract

We present a theoretical study of the statics and dynamics of a partially wetting liquid droplet, of equilibrium contact angle , confined in a solid wedge geometry of opening angle . We focus on a mostly non-wetting regime, given by the condition , where the droplet forms a liquid barrel – a closed shape of positive mean curvature. Using a quasi-equilibrium assumption for the shape of the liquid–gas interface, we compute the changes to the surface energy and pressure distribution of the liquid upon a translation along the symmetry plane of the wedge. Our model is in good agreement with numerical calculations of the surface energy minimisation of static droplets deformed by gravity. Beyond the statics, we put forward a Lagrangian description of the droplet dynamics. We focus on the overdamped limit, where the driving capillary force is balanced by the frictional forces arising from the bulk hydrodynamics, the corner flow near the contact lines and the contact-line friction. Our results provide a theoretical framework to describe the motion of partially wetting liquids in confinement, and can be used to gain further understanding on the relative importance of dissipative processes that span from microscopic to macroscopic length scales.

Item Type: Article
Uncontrolled Keywords: capillary flows, contact lines, liquid bridges
Subjects: F200 Materials Science
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Becky Skoyles
Date Deposited: 15 Mar 2018 09:03
Last Modified: 11 Dec 2018 13:02
URI: http://nrl.northumbria.ac.uk/id/eprint/33748

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