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Uplift of an elastic membrane by a viscous flow

Michael Berhanu, Adrien Guérin, Sylvain Courrech du Pont, Fiona Raoult, Rémi Perrier, and Chloé Michaut
Phys. Rev. E 99, 043102 – Published 4 April 2019

Abstract

The uplift of an initially flat elastic membrane by an upward viscous flow is investigated experimentally. The deformed shape of the membrane results from a balance between the flow pressure, the elastic response of the membrane, and the fluid weight. This last effect becomes non-negligible for a large enough deformed area. The usual theoretical approach supposes the presence of a prewetting film regularizing the viscous stresses according to Lister et al. [Phys. Rev. Lett. 111, 154501 (2013)]. Nevertheless, in our experiments without prewetting films, the measurements are correctly described with this theory in the elastic regime. Microscale roughness of membranes could introduce an equivalent characteristic scale in the problem. An alternative explanation could be provided by the appearance of a fluid lag filled with gas, for which a new theoretical framework has been recently proposed by Ball and Neufeld [Phys. Rev. Fluids 3, 074101 (2018)]. We compare the two approaches and find that both describe reasonably our experiments. However, consistency tests of both models show that the prewetting film model is more appropriate to describe our experimental data.

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  • Received 12 October 2018
  • Revised 21 December 2018

DOI:https://doi.org/10.1103/PhysRevE.99.043102

©2019 American Physical Society

Physics Subject Headings (PhySH)

Fluid DynamicsGeneral PhysicsCondensed Matter, Materials & Applied PhysicsPolymers & Soft Matter

Authors & Affiliations

Michael Berhanu, Adrien Guérin, and Sylvain Courrech du Pont

  • MSC, Université Paris Diderot, CNRS (UMR 7057), 75013 Paris, France

Fiona Raoult and Rémi Perrier

  • Université Paris Diderot, UFR de Physique, CNRS (UMR 7057), 75013 Paris, France

Chloé Michaut

  • Institut de Physique du Globe de Paris, Université Paris Diderot, 75013 Paris, France and LGTPE, Ens Lyon, CNRS (UMR 5276), 69007 Lyon, France

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Issue

Vol. 99, Iss. 4 — April 2019

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