Quantifying the liquid flow between a soap film and a vertical meniscus

Alexandre Vigna-Brummer; Simon Cox; Médéric Argentina; Christophe Brouzet; Christophe Raufaste

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arXiv · 2605.27108

Quantifying the liquid flow between a soap film and a vertical meniscus

Alexandre Vigna-Brummer·Simon Cox·Médéric Argentina·Christophe Brouzet·Christophe Raufaste

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Abstract

Fluid exchange between a soap film and its bounding menisci governs film drainage and stability, with direct implications for the lifetime of surface bubbles and liquid foams. Despite recent advances, a quantitative characterization of this coupling, associated with the phenomenon of marginal regeneration, remains incomplete. The volumetric flux per unit length of contact follows a well-established scaling law involving geometrical parameters such as the film height and the meniscus radius of curvature. However, the dimensionless prefactor of this relation - the flux coefficient - remains difficult to determine for vertical menisci because of the complex and intermittent flows occurring at the film-meniscus interface. Here, we quantify this flux into the meniscus generated by inserting a solid plate into a vertical soap film. We consider both vertical and inclined plates and further investigate the effects of plate inclination, height, and width. Focusing on the dynamics of the growth of the meniscus driven by liquid supplied by the film, we analyze both steady and transient regimes resulting from the interplay between capillary pressure, gravity, and liquid exchange. Combining experiments, numerical simulations, and theoretical modelling, we determine the flux coefficient using three independent methods and show that it remains constant over the range of parameters explored.

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Alexandre Vigna-Brummer, Simon Cox, Médéric Argentina, Christophe Brouzet, Christophe Raufaste. 2026-05-26. Quantifying the liquid flow between a soap film and a vertical meniscus. https://arxiv.org/abs/2605.27108

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