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Bifurcation analysis of the behavior of partially wetting liquids on a rotating cylinder | | Te-Sheng Lin
; Steven Rogers
; Dmitri Tseluiko
; Uwe Thiele
; | | Date: |
4 Nov 2015 | | Abstract: | We discuss the behavior of partially wetting liquids on a rotating cylinder
using the model of Thiele [J. Fluid Mech. 671, 121-136 (2011)] 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 behaviour. 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 changes monotonically. We analyze in
detail the transition in the bifurcation behavior for partially wetting liquids
as the wettability of the liquid decreases, and, in particular, how the global
bifurcation related to the depinning of drops is created when increasing the
contact angle. We employ various numerical continuation techniques that allow
us to track stable/unstable steady and time-periodic states. We support our
findings by time-dependent numerical simulations and asymptotic analysis of
steady-state and time-periodic solutions for large rotation numbers. | | Source: | arXiv, 1511.1167 | | Services: | Forum | Review | PDF | Favorites | |
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