Modeling and simulation of dynamics of three-component flows on solid surface
Modeling and simulation of dynamics of three-component flows on solid surface
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DOI：
10.1007/s13160-014-0151-7
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发表时间：
2014-10
影响因子：
0.9
通讯作者：
Yi Shi;Xiaoping Wang
中科院分区：
文献类型：
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作者：
Yi Shi;Xiaoping Wang
本文提出了固体表面三元不混溶流动动力学的相场模型。该模型是由Cahn-Hilliard Navier-Stokes方程和广义Navier边界条件组成的二元相场模型的推广。将该方法推广到三相问题需要一些额外的一致性条件，以使模型给出物理相关的结果。我们制定的边界条件，使用拉格朗日乘子执行的一致性条件。然后，我们开发了一种有效的自适应网格细化技术来解决该系统。给出了浮力驱动液滴通过液-液界面、四相接触线的形成以及剪切流作用下复合液滴在固体表面上的动力学等数值结果。
In this paper, we propose a phase field model for the dynamics of three-component immiscible flows on solid surface. The model is an extension of the two-component phase field model consists of the Cahn–Hilliard Navier–Stokes equations with the generalized Navier boundary condition. The generalization of the approach to the three phase problem requires some extra consistency conditions for the system in the bulk and at the boundary in order for the model to give physically relevant results. We formulate the boundary conditions that enforce the consistency conditions using the Lagrangian multipliers. We then develop an efficient adaptive mesh refinement technique to solve the system. Several numerical results are given, including the buoyancy-driven droplet through a fluid–fluid interface, formation of four-phase contact line and dynamics of a compound droplet on solid surface under shear flow.