On the depinning of a drop of partially wetting liquid on a rotating cylinder

Abstract

We discuss the analogy of the behaviour of films and drops of liquid on a rotating horizontal cylinder on the one hand and substrates with regular one-dimensional wettability patterns on the other hand. Based on the similarity between the respective governing long-wave equations we show that a drop of partially wetting liquid on a rotating cylinder undergoes a depinning transition when the rotation speed is increased. The transition occurs via a sniper bifurcation as in a recently described scenario for drops depinning on heterogeneous substrates.

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Cited by in corpus (7)

• Recent advances in and future challenges for mesoscopic hydrodynamic modelling of complex wetting
• Bifurcation analysis of the behavior of partially wetting liquids on a rotating cylinder
• Emergence of the bifurcation structure of a Langmuir-Blodgett transfer model
• On travelling wave solutions of a model of a liquid film flowing down a fibre
• What is active wetting?
• Steering droplets on substrates with plane-wave wettability patterns and deformations
• Dynamics of thin liquid films on vertical cylindrical fibers