Couette流中的润湿破坏和接触线动力学
Wetting failure and contact line dynamics in a Couette flow
摘要：
研究了具有两种任意粘度不互溶流体的二维Couette系统的液-液润湿破坏。这个问题是解决了精确地使用尖锐的界面处理的流体力学（润滑理论）的毛细管数，粘性比和分离的规模，即滑移长度与宏观尺度的系统的函数。根据系统的有关参数，详细分析了临界速度的存在性，在临界速度以上没有稳态解。与现有的其他几何形状的分析进行了比较。数值分析方法也提出了，从多相扩展的晶格玻尔兹曼方程（LBE）的扩散界面模型的基础上。尖锐的界面和扩散界面模型进行定量比较面对面的扩散界面模型的适用性的正确限制。
英文摘要：
Liquid-liquid wetting failure is investigated in a two-dimensional Couette system with two immiscible fluids of arbitrary viscosity. The problem is solved exactly using a sharp interface treatment of hydrodynamics (lubrication theory) as a function of the capillary number, viscous ratio and separation of scale, i.e. slip length versus macroscopic scale of the system. The existence of critical velocities, above which no stationary solutions are found, is analyzed in detail in terms of the relevant parameters of the system. Comparisons with existing analysis for other geometries are also carried out. A numerical method of analysis is also presented, based on diffuse interface models obtained from multiphase extensions of the lattice Boltzmann equation (LBE). Sharp interface and diffuse interface models are quantitatively compared face to face indicating the correct limit of applicability of the diffuse interface models.
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