关于接触线扩散界面模型的成分边界条件的评述
Comments on the compositional boundary condition for diffuse interface model of contact line
摘要：
Cahn-Hilliard-van der Waals扩散界面模型常用于研究多相流的各个方面，如液滴聚并和接触线动力学。Cahn-Hilliard-van der Waals的原始模型使用了一种近似，该近似忽略了系统自由能的一些表面贡献，并且通过观察区域与系统外表面之间的大距离来证明。当考虑固体表面上的接触线的动力学时，这不是先验准确的。提出了一种修正的所谓的自然组成边界条件，通过最小化的表面贡献的系统的自由能的汽-液界面的一个单一的组件和准不可压缩的二元混合物的部分互溶液体。结果是在热力学平衡的停滞流体中获得的，但如果可以假设局部热力学平衡，则在流动中应该是有效的。
英文摘要：
The diffuse interface model of Cahn-Hilliard-van der Waals is often used to study various aspects of multi-phase flows such as droplets coalescence and contact line dynamics. The original model of Cahn-Hilliard-van der Waals uses an approximation which neglects some surface contributions to the free energy of the system and is justified by the large distance between the region of observation and the outer surface of the system. This is not a priori accurate when considering the dynamics of the contact line on a solid surface. A modification of the so called natural compositional boundary conditions obtained by minimization of the surface contribution to the free energy of the system is proposed for the vapor-liquid interface of a single component and for a quasi-incompressible binary mixture of partially miscible liquids. The results are obtained for a stagnant fluid in thermodynamic equilibrium but should be valid in a flow if local thermodynamic equilibrium can be assumed.
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