Free surface flows with large slopes: beyond lubrication theory
Fluid Dynamics
2007-05-23 v1
Abstract
The description of free surface flows can often be simplified to thin film (or lubrication) equations, when the slopes of the liquid-gas interface are small. Here we present a long wavelength theory that remains fully quantitative for steep interface slopes, by expanding about Stokes flow in a wedge. For small capillary numbers, the variations of the interface slope are slow and can be treated perturbatively. This geometry occurs naturally for flows with contact lines: we quantify the difference with ordinary lubrication theory through a numerical example and analytically recover the full Cox-Voinov asymptotic solution.
Cite
@article{arxiv.physics/0603265,
title = {Free surface flows with large slopes: beyond lubrication theory},
author = {Jacco H. Snoeijer},
journal= {arXiv preprint arXiv:physics/0603265},
year = {2007}
}
Comments
4 pages, 3 figures