论文标题
漏斗中稀薄的液体膜的不稳定性
Instabilities of a thin liquid film in a funnel
论文作者
论文摘要
我们探索漏斗中完全润湿的液体的流动，特别关注流体前沿的接触线不稳定性。尽管漏斗中的流量可能与许多其他流程构型有关，但由于存在额外的方位角曲率以及由于几何形状施加的趋同流量效应，因此了解其稳定性是复杂的。流动的收敛性会导致膜的增厚，因此影响其稳定性。在这项工作中，我们通过结合物理实验，渐近建模，自相似类型的分析和数值模拟来分析这些稳定性。我们表明，从实验，仿真和线性稳定性分析的输入中支持的适当基于长波的模型，从倾斜平面向下流出的线性稳定性分析起源提供了一个基本的见解，从而可以理解接触线不稳定性和新兴长度尺度的发展。
We explore flow of a completely wetting fluid in a funnel, with particular focus on contact line instabilities at the fluid front. While the flow in a funnel may be related to a number of other flow configurations as limiting cases, understanding its stability is complicated due to the presence of additional azimuthal curvature, as well as due to convergent flow effects imposed by the geometry. Convergent nature of the flow leads to thickening of the film, therefore influencing its stability properties. In this work, we analyze these stability properties by combining physical experiments, asymptotic modeling, self-similar type of analysis and numerical simulations. We show that appropriate long-wave based model supported by the input from experiments, simulations and linear stability analysis origination from the flow down an incline plane provides a basic insight allowing to understand the development of contact line instability and emerging lengthscales.
