Three-dimensional lubrication model of a contact line corner singularity

L. Limat, H. A. Stone

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


Drops sliding along inclined planes in situations of partial wetting develop a "corner" at the back of the drop, similar to contact line shapes observed on plates withdrawn from a bath. We discuss, in the framework of lubrication theory, the 3D structure of this corner singularity: similarity solutions exist such that the interface adopts the shape of a cone, with well-defined relationships linking its two characteristic angles. Near both contact lines forming the corner, the solution reduces to the well-known lubrication solution for a single contact line, with an effective capillary number involving the normal component of the contact line velocity.

Original languageEnglish (US)
Pages (from-to)365-371
Number of pages7
Issue number3
StatePublished - Feb 2004
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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