Self-organized 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When a solid substrate is withdrawn from a bath of simple, partially wetting, nonvolatile liquid, one typically distinguishes two regimes, namely, after withdrawal the substrate is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.

Flow profiles near receding three-phase contact lines: influence of surfactants

“…14 Important work is done on advancing contact lines, especially in the framework of lubrication modeling approaches, 15,16 where the authors show an influence of surfactants on the spreading dynamics of drops. Similarly, gradient dynamics models 17,18 are developed to describe advancing and receding contact lines also for more complex wetting situations, like forming deposits behind receding contact lines 19 or on brushes. 18 When considering localized heterogeneities in the surfactant concentrations, surfactant-induced (i.e.…”

Two-dimensional patterns in dip coating - first steps on the continuation path

“…See Ref. [27] and references therein. Therefore we expect the results presented here to be relevant for the Landau-Levich system as well.…”

Dip-coating flow in the presence of two immiscible liquids

“…2008; Tewes et al. 2019) or textured (Seiwert, Clanet & Quére 2011) solid substrates, non-Newtonian liquids (Hurez & Tanguy 1990; Maillard et al. 2016), surface active molecules (Park 1991; Scheid et al.…”