Bifurcation analysis of the behavior of partially wetting liquids on a rotating cylinder
Bifurcation analysis of the behavior of partially wetting liquids on a rotating cylinder
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DOI：
10.1063/1.4959890
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发表时间：
2015-11
影响因子：
4.6
通讯作者：
Te-Sheng Lin;S. Rogers;D. Tseluiko;U. Thiele
中科院分区：
文献类型：
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作者：
Te-Sheng Lin;S. Rogers;D. Tseluiko;U. Thiele
我们使用考虑了重力、粘度、旋转、表面张力和润湿性影响的模型来讨论旋转圆柱体上部分润湿液体的行为。这样的系统可以被视为许多其他系统的原型，在这些系统中，空间异质性和一阶或二阶相变附近的横向驱动力的相互作用会导致复杂的行为。因此，随着旋转速度的增加，旋转圆筒上的部分润湿液滴会经历脱钉转变，而对于理想的润湿液体，该行为仅发生定量变化。我们分析了当旋转速度对于部分润湿液体的平衡接触角的几个值增加时发生的分叉。这使我们能够讨论整个分叉结构及其编码的流动行为如何随着润湿性的变化而变化。我们采用各种数值连续技术，使我们能够跟踪稳定/不稳定的稳定......
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...