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Journal Articles Physical Review Fluids Year : 2021

Instability of the one-dimensional thickness profile at the edge of a horizontal foam film and its Plateau border

Isabelle Cantat

Abstract

The thinning of the liquid films separating bubbles in a foam or in a bubbly liquid controls the coalescence process and the foam stability, and is highly relevant in many industrial processes. The spatiotemporal evolution of the film thickness is governed by highly nonlinear equations, the solution properties of which are still mostly unknown. For a flat film in contact with a meniscus at a lower pressure, a classical theoretical solution is the appearance, deepening and widening of a pinched region, uniform along the meniscus. However, film thinning has been shown to be mainly controlled by nonuniform marginal regeneration, for which no clear explanation has been provided to date. In this article, we establish experimentally that the theoretical uniform film thickness profile is unstable, even in a horizontal film, and we measure the instability wavelength along the meniscus. We show that the Poiseuille flow can be neglected during the destabilization process, and, taking advantage of this scale separation, we build an original equation set leading to the prediction of the instability wavelength.
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Dates and versions

hal-03464485 , version 1 (14-12-2021)

Licence

Attribution - NonCommercial - CC BY 4.0

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C. Tregouet, Isabelle Cantat. Instability of the one-dimensional thickness profile at the edge of a horizontal foam film and its Plateau border. Physical Review Fluids, 2021, 6 (11), pp.114005. ⟨10.1103/PhysRevFluids.6.114005⟩. ⟨hal-03464485⟩
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