Self-organised dip-coating patterns of simple, partially wetting, nonvolatile liquids
Abstract
When a solid substrate is withdrawn from a bath of simple, partially wetting, nonvolatile liquid, one typically distinguishes two regimes, namely, after withdrawal the substrate is macroscopically dry or homogeneously coated by a liquid film. In the latter case, the coating is called a Landau-Levich film. Its thickness depends on the angle and velocity of substrate withdrawal. We predict by means of a numerical and analytical investigation of a hydrodynamic thin-film model the existence of a third regime. It consists of the deposition of a regular pattern of liquid ridges oriented parallel to the meniscus. We establish that the mechanism of the underlying meniscus instability originates from competing film dewetting and Landau-Levich film deposition. Our analysis combines a marginal stability analysis, numerical time simulations and a numerical bifurcation study via path-continuation.
Keywords
Cite
@article{arxiv.1906.00677,
title = {Self-organised dip-coating patterns of simple, partially wetting, nonvolatile liquids},
author = {Walter Tewes and Markus Wilczek and Svetlana V. Gurevich and Uwe Thiele},
journal= {arXiv preprint arXiv:1906.00677},
year = {2019}
}