Effective and microscopic contact angles in thin film dynamics

Michiel Bertsch*, Roberta Dal Passo, Stephen H Davis, Lorenzo Giacomelli

*Corresponding author for this work

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

We introduce and analyse a class of quasi-seif-similar solutions of the thin film equation to describe the dynamics of expanding liquid films on a solid surface. Using these solutions as intermediate asymptotics profiles, we obtain a quantitative expression for the shape of the film and a relation between the speed of the contact line and the macroscopic and microscopic contact angles.

Original languageEnglish (US)
Pages (from-to)181-201
Number of pages21
JournalEuropean Journal of Applied Mathematics
Volume11
Issue number2
DOIs
StatePublished - Jan 1 2000

ASJC Scopus subject areas

  • Applied Mathematics

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