• DOI:10.1063/1.4959890
• Corpus ID: 53135189

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

@article{Lin2015BifurcationAO,
  title={Bifurcation analysis of the behavior of partially wetting liquids on a rotating cylinder},
  author={Te-Sheng Lin and Steven Rogers and Dmitri Tseluiko and Uwe Thiele},
  journal={Physics of Fluids},
  year={2015},
  volume={28},
  pages={082102}
}

• Te-Sheng Lin, S. Rogers, +1 author U. Thiele
• Published 4 November 2015
• Physics
• Physics of Fluids

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 change with changing wettability. We employ various numerical continuation techniques that allow us to track stable/unstable steady...