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

Published online by Cambridge University Press:  26 January 2011

UWE THIELE
UWE THIELE*
Affiliation:
Department of Mathematical Sciences, Loughborough University, Leicestershire LE11 3TU, UK
*
†Email address for correspondence: [email protected]
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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. On the basis of 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.

JFM classification

Nonlinear Dynamical Systems: Bifurcation Interfacial Flows (free surface): Interfacial Flows (free surface) Low-Reynolds-number flows: Lubrication theory
Type
Papers
Information
Journal of Fluid Mechanics , Volume 671 , 25 March 2011 , pp. 121 - 136
Copyright
Copyright © Cambridge University Press 2011

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