Singularite anguleuse d'une ligne de contact en movement sur un substrat solide (Corner singularity of a contact line moving on a solid substrate)

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Stone, H.A. and Limat, L. and Wilson, S.K. and Flesselles, J.M. and Podgorski, T. (2002) Singularite anguleuse d'une ligne de contact en movement sur un substrat solide (Corner singularity of a contact line moving on a solid substrate). Comptes Rendus Physique, 3 (1). pp. 103-110. ISSN 1631-0705 (http://dx.doi.org/10.1016/S1631-0705(02)01288-4)

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Abstract

In conditions of partial wetting and at sufficiently high capillary number Ca, a dynamic contact line that recedes on a solid surface assumes a 'saw-tooth' shape. We show that the flow inside this liquid 'corner' is a similarity solution of the lubrication equations governing steady thin-film flows in which the free surface is cone shaped. The interface slope Φ#169; defined in its symmetry plane is linked to the corner angle 2φ by the approximate relationship Φ#169;3≈(3/2) Catan2φ. We also suggest a possible explanation of droplet emission from the corner which occurs when φ reaches π/6.

ORCID iDs

Stone, H.A., Limat, L., Wilson, S.K. ORCID logoORCID: https://orcid.org/0000-0001-7841-9643, Flesselles, J.M. and Podgorski, T.;
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