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

16 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.
LanguageEnglish
Pages103-110
Number of pages7
JournalComptes Rendus Physique
Volume3
Issue number1
DOIs
Publication statusPublished - 2002

Fingerprint

teeth
lubrication
solid surfaces
wetting
cones
slopes
symmetry
liquids
thin films

Keywords

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

Cite this

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title = "Singularite anguleuse d'une ligne de contact en movement sur un substrat solide (Corner singularity of a contact line moving on a solid substrate)",
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.",
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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.; Limat, L.; Wilson, S.K.; Flesselles, J.M.; Podgorski, T.

In: Comptes Rendus Physique, Vol. 3, No. 1, 2002, p. 103-110.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Singularite anguleuse d'une ligne de contact en movement sur un substrat solide (Corner singularity of a contact line moving on a solid substrate)

AU - Stone, H.A.

AU - Limat, L.

AU - Wilson, S.K.

AU - Flesselles, J.M.

AU - Podgorski, T.

PY - 2002

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AB - 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.

KW - wetting

KW - dewetting

KW - contact lines

KW - film flows

KW - singularities

KW - lubrication theory

UR - http://dx.doi.org/10.1016/S1631-0705(02)01288-4

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