任意形状固着液滴的准静态弛豫
Quasi-static relaxation of arbitrarily shaped sessile drops
摘要：
我们研究了部分润湿状态下任意形状液滴在固体表面上的自发弛豫动力学。假设在接触线附近耗散的能量远大于在流体本体中耗散的能量。我们已经严格表明，在准静态松弛的情况下，使用耗散系统动力学的标准机械描述，引入与接触线长度成比例的耗散项，导致众所周知的局部接触线速度和动态接触角之间的关系在任意接触线形状的每一点。一个数值代码开发的3D滴研究的依赖性的松弛动力学的初始液滴形状。可用的渐近解进行了测试对所获得的数值数据。我们展示了在接触线的给定点处的松弛如何受到整个液滴的动力学的影响，这是非局部的表现。
英文摘要：
We study a spontaneous relaxation dynamics of arbitrarily shaped liquid drops on solid surfaces in the partial wetting regime. It is assumed that the energy dissipated near the contact line is much larger than that in the bulk of the fluid. We have shown rigorously in the case of quasi-static relaxation using the standard mechanical description of dissipative system dynamics that the introduction of a dissipation term proportional to the contact line length leads to the well known local relation between the contact line velocity and the dynamic contact angle at every point of an arbitrary contact line shape. A numerical code is developed for 3D drops to study the dependence of the relaxation dynamics on the initial drop shape. The available asymptotic solutions are tested against the obtained numerical data. We show how the relaxation at a given point of the contact line is influenced by the dynamics of the whole drop which is a manifestation of the non-local
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