Two-dimensional patterns in dip coating -- first steps on the continuation path
arXiv:2001.10438 · doi:10.1016/j.physd.2020.132485
Abstract
We present a brief comparative investigation of the bifurcation structure related to the formation of two-dimensional deposition patterns as described by continuum models of Cahn-Hilliard type. These are, on the one hand a driven Cahn-Hilliard model for Langmuir-Blodgett transfer of a surfactant layer from the surface of a bath onto a moving plate and on the other hand a driven thin-film equation modelling the surface acoustic wave-driven coating of a plate by a simple liquid. In both cases, we present selected two-dimensional steady states corresponding to deposition patterns and discuss the main structure of the corresponding bifurcation diagrams.
References in corpus (6)
- Relaxation of a dewetting contact line Part 1: A full-scale hydrodynamic calculation
- Gradient dynamics models for liquid films with soluble surfactant
- Modelling the formation of structured deposits at receding contact lines of evaporating solutions and suspensions
- Morphological transitions of sliding drops: Dynamics and bifurcations
- Thin film dynamics with surfactant phase transition
- Effects of time-periodic forcing in a Cahn-Hilliard model for Langmuir-Blodgett transfer