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

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.;
  • Item type:Article
    ID code:2086
    Dates:
    Date
    Event
    2002
    Published
    Keywords:wetting, dewetting, contact lines, film flows, singularities, lubrication theory, Mathematics, Physics and Astronomy(all)
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Strathprints Administrator
    Date deposited:07 Jan 2007
    Last modified:27 Sep 2022 02:56
    URI:https://strathprints.strath.ac.uk/id/eprint/2086
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