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

H.A. Stone, L. Limat, S.K. Wilson, J.M. Flesselles, T. Podgorski

Research output: Contribution to journalArticle

17 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)103-110
Number of pages7
JournalComptes Rendus Physique
Volume3
Issue number1
DOIs
Publication statusPublished - 2002

Keywords

  • wetting
  • dewetting
  • contact lines
  • film flows
  • singularities
  • lubrication theory

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