Hostname: page-component-6bf8c574d5-7jkgd Total loading time: 0 Render date: 2025-02-21T23:19:45.782Z Has data issue: false hasContentIssue false

Effective and microscopic contact angles in thin film dynamics

Published online by Cambridge University Press:  01 April 2000

MICHIEL BERTSCH
Affiliation:
Dipartimento di Matematica, Università di Roma ‘Tor Vergata’, 00133 Roma, Italy
ROBERTA DAL PASSO
Affiliation:
Dipartimento di Matematica, Università di Roma ‘Tor Vergata’, 00133 Roma, Italy
STEPHEN H. DAVIS
Affiliation:
Department of Engineering Sciences and Applied Mathematics, Robert R. McCormick School of Engineering and Applied Science, Northwestern University, Evanston, IL 60208, USA
LORENZO GIACOMELLI
Affiliation:
Dipartimento di Matematica, Università di Roma ‘La Sapienza’, 00185 Roma, Italy
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We introduce and analyse a class of quasi-self-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.

Type
Research Article
Copyright
2000 Cambridge University Press