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Bifurcation analysis of the behavior of partially wetting liquids on a rotating cylinder

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posted on 28.07.2016, 10:51 authored by Te-Sheng Lin, Steven Rogers, Dmitri TseluikoDmitri Tseluiko, Uwe Thiele
We discuss the behavior of partially wetting liquids on a rotating cylinder using a model that takes into account the effects of gravity, viscosity, rotation, surface tension and wettability. Such a system can be considered as a prototype for many other systems where the interplay of spatial heterogeneity and a lateral driving force in the proximity of a first- or second-order phase transition results in intricate behavior. So does a partially wetting drop on a rotating cylinder undergo a depinning transition as the rotation speed is increased, whereas for ideally wetting liquids the behavior only changes quantitatively. We analyze the bifurcations that occur when the rotation speed is increased for several values of the equilibrium contact angle of the partially wetting liquids. This allows us to discuss how the entire bifurcation structure and the flow behavior it encodes changes with changing wettability. We employ various numerical continuation techniques that allow us to track stable/unstable steady and time-periodic film and drop thickness profiles. We support our findings by time-dependent numerical simulations and asymptotic analyses of steady and time-periodic profiles for large rotation numbers.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physics of Fluids

Citation

LIN, T-S. ...et al., Bifurcation analysis of the behavior of partially wetting liquids on a rotating cylinder. Physics of Fluids, 28 (8), article 082102.

Publisher

© AIP Publishing

Version

NA (Not Applicable or Unknown)

Acceptance date

05/07/2016

Publication date

2016

Notes

This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in "LIN, T-S. ...et al., Bifurcation analysis of the behavior of partially wetting liquids on a rotating cylinder. Physics of Fluids, 28 (8), article 082102" and may be found at http://dx.doi.org/10.1063/1.4959890

ISSN

0031-9171

Language

en

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