Journal article
Capillary-driven flow induced by a stepped perturbation atop a viscous film
Abstract
Thin viscous liquid films driven by capillarity are well described in the lubrication theory through the thin film equation. In this article, we present an analytical solution of this equation for a particular initial profile: a stepped perturbation. This initial condition allows a linearization of the problem making it amenable to Fourier analysis. The solution is obtained and characterized. As for a temperature step in the heat equation, …
Authors
Salez T; McGraw JD; Bäumchen O; Dalnoki-Veress K; Raphaël E
Journal
Physics of Fluids, Vol. 24, No. 10,
Publisher
AIP Publishing
Publication Date
October 1, 2012
DOI
10.1063/1.4763569
ISSN
1070-6631