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Fingering instability in adhesion fronts

Published online by Cambridge University Press:  06 October 2022

M. L'Estimé ,
L. Duchemin Open the ORCID record for L. Duchemin [Opens in a new window] ,
É. Reyssat Open the ORCID record for É. Reyssat [Opens in a new window]  and
J. Bico Open the ORCID record for J. Bico [Opens in a new window]
M. L'Estimé
Affiliation:
Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), CNRS, ESPCI Paris, Université PSL, Sorbonne Université, Université de Paris, Paris, France
L. Duchemin
Affiliation:
Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), CNRS, ESPCI Paris, Université PSL, Sorbonne Université, Université de Paris, Paris, France
É. Reyssat
Affiliation:
Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), CNRS, ESPCI Paris, Université PSL, Sorbonne Université, Université de Paris, Paris, France
J. Bico*
Affiliation:
Laboratoire de Physique et Mécanique des Milieux Hétérogènes (PMMH), CNRS, ESPCI Paris, Université PSL, Sorbonne Université, Université de Paris, Paris, France
*
†Email address for correspondence: jose.bico@espci.fr
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Abstract

The adhesion of two surfaces relies on the propagation of an adhesion front. What is the dynamics of the front when both surfaces are coated with a thin layer of viscous liquid? Standard criteria from fingering instabilities would predict a stable front since viscous fluid pushes away air of low viscosity. Surprisingly, the front propagation may be unstable and generally leads to growing fingers. We demonstrate with model experiments where the two adhering surfaces are slightly tilted by an angle $\alpha$ that the origin of this interfacial instability relies on feeding the front from the surrounding thin film. We show experimentally that the typical wavelength of the instability is mainly dictated by the thickness of the oil layers $h$. In this wedge geometry, the propagation dynamics is found to follow a $t^{1/2}$ dependence and to saturate for an extension length of the order of $h/\alpha$.

JFM classification

Interfacial Flows (free surface): Fingering instability Interfacial Flows (free surface): Thin films
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 949 , 25 October 2022 , A46
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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