Diffuse interface simulation of ternary fluids in contact with solid

Diffuse interface simulation of ternary fluids in contact with solid
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三元流体与固体接触的扩散界面模拟

DOI:
10.1016/j.jcp.2015.12.054
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发表时间:
2016-03
影响因子:
4.1
通讯作者:
Yan-Ling Wu
Yan-Ling Wu
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Chun-Yu Zhang;Hang Ding;Peng Gao;Yan-Ling Wu

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本文提出了一种适用于含运动接触线的三元流体扩散界面模拟的几何润湿条件。在存在三元流体流的情况下基材的润湿性由多个接触角表示,对应于相应流体和基材之间的不同材料性质。三元流体在基底上的流动位移导致了三条动接触线相交的动接触点的出现。我们提出了一个加权接触角模型,以取代接触角的跳跃在接触点的接触角的一个相对平滑的过渡区域的“扩散接触点”的有限大小。在此基础上,将动接触线两相流润湿条件的几何表述推广到动接触线三元流。结合该润湿条件、Navier-Stokes方程求解器和三元流体模型,模拟了复合液滴在基底上的二维扩散过程,并与解析解进行了比较,验证了液滴平衡时形状的数值结果。我们还检查了收敛速度的模拟研究轴对称液滴在毛细管中的蔓延。最后,我们将该模型应用到各种具有实际意义的应用中,包括圆柱体进入两层不同流体的池中的冲击和剪切流中三维复合液滴的滑动。
In this article we developed a geometrical wetting condition for diffuse-interface simulation of ternary fluid flows with moving contact lines. The wettability of the substrate in the presence of ternary fluid flows is represented by multiple contact angles, corresponding to the different material properties between the respective fluid and the substrate. Displacement of ternary fluid flows on the substrate leads to the occurrence of moving contact point, at which three moving contact lines meet. We proposed a weighted contact angle model, to replace the jump in contact angle at the contact point by a relatively smooth transition of contact angle over a region of ‘diffuse contact point’ of finite size. Based on this model, we extended the geometrical formulation of wetting condition for two-phase flows with moving contact lines to ternary flows with moving contact lines. Combining this wetting condition, a Navier–Stokes solver and a ternary-fluid model, we simulated two-dimensional spreading of a compound droplet on a substrate, and validated the numerical results of the drop shape at equilibrium by comparing against the analytical solution. We also checked the convergence rate of the simulation by investigating the axisymmetric drop spreading in a capillary tube. Finally, we applied the model to a variety of applications of practical importance, including impact of a circular cylinder into a pool of two layers of different fluids and sliding of a three-dimensional compound droplet in shear flows.
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期刊: PHYSICAL REVIEW E
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