Numerical Simulation of a Contaminated Water Drop Sinking in a Oil by a Front-tracking Method
Numerical Simulation of a Contaminated Water Drop Sinking in a Oil by a Front-tracking Method
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DOI：
10.1299/jcst.2.246
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
Yasufumi Yamamoto;M. Yamauchi;T. Uemura
中科院分区：
文献类型：
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作者：
Yasufumi Yamamoto;M. Yamauchi;T. Uemura
在这项研究中，一个前沿跟踪（FT）的方法结合求解器的界面输运的表面活性剂被提出来分析受污染的界面流动。由于FT方法中界面的显式表达，界面上的对流扩散方程易于处理，且求解精度高。在这项研究中，一个计划，完全保持表面活性剂的总量被构建。考虑到浓度引起的Marangoni效应，对硅油中水滴下沉进行了数值模拟。三个参数的影响-阻尼系数的界面张力，扩散系数，和表面活性剂的总量进行了评价。计算结果与实验结果进行了比较，并在非常好的协议与变量，包括停滞帽的大小，流动分离点，和剪切应力的峰值。因此，我们可以预期，我们的模拟可以估计界面处的表面活性剂的条件。
In this study, a front-tracking (FT) method combined with a solver for the interfacial transport of surfactant is proposed to analyze interfacial flows affected by contamination. Because the interfaces are expressed explicitly in the FT method, the advection-diffusion equation on the interface can be treated easily and can be solved with high accuracy. In this study, a scheme that completely conserves the total amount of surfactant was constructed. Numerical simulations of a water drop sinking in silicone oil were performed, taking into account the Marangoni effect caused by concentrations. The effects of three parameters—a damping coefficient of interfacial tension, a diffusion coefficient, and the total amount of surfactant—were evaluated. Calculated results were compared with experimental results and were in very good agreement with variables including the stagnant cap size, the flow separation point, and the peak of shear stress. We can therefore expect that our simulations can estimate the conditions of surfactant at the interfaces.