Numerical simulation of drop and bubble dynamics with soluble surfactant
Numerical simulation of drop and bubble dynamics with soluble surfactant
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DOI：
10.1063/1.4872174
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发表时间：
2014-05
影响因子：
4.6
通讯作者：
Qiming Wang;M. Siegel;M. Booty
中科院分区：
文献类型：
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作者：
Qiming Wang;M. Siegel;M. Booty
本文通过数值计算研究了表面活性剂对粘性流体中轴对称液滴或气泡在外加线性应变流作用下的变形和破裂的影响。在典型的流体-表面活性剂系统中，在体Peclet数Pe的高值处，在界面附近存在薄的过渡层，在该过渡层中表面活性剂浓度迅速变化。大的表面活性剂梯度的解决使用一个快速和准确的“混合”数值方法，将一个单独的，奇异摄动分析的动态过渡层到一个完整的数值解的自由边界问题。该方法被用来调查的依赖性的液滴变形的参数，表征表面活性剂的溶解度。我们还计算解决的tipstreaming的例子，并研究其依赖于参数，如流速和散装表面活性剂浓度。
Numerical computations are presented to study the effect of soluble surfactant on the deformation and breakup of an axisymmetric drop or bubble stretched by an imposed linear strain flow in a viscous fluid. At the high values of bulk Peclet number Pe in typical fluid-surfactant systems, there is a thin transition layer near the interface in which the surfactant concentration varies rapidly. The large surfactant gradients are resolved using a fast and accurate “hybrid” numerical method that incorporates a separate, singular perturbation analysis of the dynamics in the transition layer into a full numerical solution of the free boundary problem. The method is used to investigate the dependence of drop deformation on parameters that characterize surfactant solubility. We also compute resolved examples of tipstreaming, and investigate its dependence on parameters such as flow rate and bulk surfactant concentration.