A volume-of-fluid formulation for the study of co-flowing fluids governed by the Hele-Shaw equations
A volume-of-fluid formulation for the study of co-flowing fluids governed by the Hele-Shaw equations
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DOI：
10.1063/1.4817374
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发表时间：
2013-08
影响因子：
4.6
通讯作者：
S. Afkhami;Y. Renardy
中科院分区：
文献类型：
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作者：
S. Afkhami;Y. Renardy
我们提出了一个计算框架来解决两种不混溶粘性液体的流动，这两种液体共同流入一侧的浅矩形容器，并流出到另一侧的容纳容器中。基于域浅层深度的假设被用来将控制方程简化为 Hele-Shaw 类型之一。数值方法的显着特点是毛细管效应的精确建模。制定并实施了连续介质方法与流体体积公式相结合，用于计算界面运动并模拟 Hele-Shaw 流中的界面张力。该界面是用高度函数算法重建的。这些算法的组合是 Hele-Shaw 流研究的一项新颖发展。通过基准模拟讨论了该方法的精度等级和收敛特性。模拟与第二液体共同流动的流体带的微流体流动。我们证明对于小毛细管...
We present a computational framework to address the flow of two immiscible viscous liquids which co-flow into a shallow rectangular container at one side, and flow out into a holding container at the opposite side. Assumptions based on the shallow depth of the domain are used to reduce the governing equations to one of Hele-Shaw type. The distinctive feature of the numerical method is the accurate modeling of the capillary effects. A continuum approach coupled with a volume-of-fluid formulation for computing the interface motion and for modeling the interfacial tension in Hele-Shaw flows is formulated and implemented. The interface is reconstructed with a height-function algorithm. The combination of these algorithms is a novel development for the investigation of Hele-Shaw flows. The order of accuracy and convergence properties of the method are discussed with benchmark simulations. A microfluidic flow of a ribbon of fluid which co-flows with a second liquid is simulated. We show that for small capillary...