Tseluiko_1.4959890.pdf (2.21 MB)
Bifurcation analysis of the behavior of partially wetting liquids on a rotating cylinder
journal contribution
posted on 2016-07-28, 10:51 authored by Te-Sheng Lin, Steven Rogers, Dmitri TseluikoDmitri Tseluiko, Uwe ThieleWe 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 FluidsCitation
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 PublishingVersion
- NA (Not Applicable or Unknown)
Acceptance date
2016-07-05Publication date
2016Notes
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/10.1063/1.4959890ISSN
0031-9171Publisher version
Language
- en