Collapse of a hemicatenoid bounded by a solid wall: instability and dynamics driven by surface Plateau border friction

Abstract

The collapse of a catenoidal soap film when the rings supporting it are moved beyond a critical separation is a classic problem in interface motion in which there is a balance between surface tension and the inertia of the surrounding air, with film viscosity playing only a minor role. Recently [Goldstein et al., Phys. Rev. E, 2021, 104, 035105], we introduced a variant of this problem in which the catenoid is bisected by a glass plate located in a plane of symmetry perpendicular to the rings, producing two identical hemicatenoids, each with a surface Plateau border (SPB) on the glass plate. Beyond the critical ring separation, the hemicatenoids collapse in a manner qualitatively similar to the bulk problem, but their motion is governed by the frictional forces arising from viscous dissipation in the SPBs. We present numerical studies of a model that includes classical laws in which the frictional force fv for SPB motion on wet surfaces is of the form fv ∼ Can, where Ca is the capillary number. Our experimental data on the temporal evolution of this process confirms the expected value n = 2/3 for mobile surfactants and stress-free interfaces. This study can help explain the fragmentation of bubbles inside very confined geometries such as porous materials or microfluidic devices.

Graphical abstract: Collapse of a hemicatenoid bounded by a solid wall: instability and dynamics driven by surface Plateau border friction

Supplementary files

Article information

Article type
Paper
Submitted
23 Apr 2022
Accepted
10 Jun 2022
First published
22 Jun 2022
This article is Open Access
Creative Commons BY license

Soft Matter, 2022, Advance Article

Collapse of a hemicatenoid bounded by a solid wall: instability and dynamics driven by surface Plateau border friction

C. Raufaste, S. Cox, R. E. Goldstein and A. I. Pesci, Soft Matter, 2022, Advance Article , DOI: 10.1039/D2SM00516F

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