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 1631-0705Full text not available in this repository. (Request a copy from the Strathclyde author)
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.
|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:||29 Apr 2016 07:27|