论文标题
在不溶性表面活性剂存在下落下膜的三维动力学
Three-dimensional dynamics of falling films in the presence of insoluble surfactants
论文作者
论文摘要
我们研究不溶性表面活性剂对垂直垂直液膜波动力学的影响。我们使用三维数值模拟，并采用混合界面跟踪/水平集方法，考虑到由界面表面活性剂浓度梯度引起的Marangoni应力。我们对Park＆Nosoko（2003）的实验工作验证了无表面活性剂，三维波拓扑的进化的数值预测。发现添加表面活性剂会显着影响马蹄形波的发展。在低马龙尼的数字下，我们表明，在获得准二维形状之前，波浪前阵线表现出跨度的振荡。另外，发现马龙诺尼应力的存在抑制了行进波的峰和先前的毛细管波结构。在高的Marangoni数字下，观察到界面几乎完全刚化。
We study the effect of insoluble surfactants on the wave dynamics of vertically-falling liquid films. We use three-dimensional numerical simulations and employ a hybrid interface-tracking/level-set method, taking into account Marangoni stresses induced by gradients of interfacial surfactant concentration. Our numerical predictions for the evolution of the surfactant-free, three-dimensional wave topology are validated against the experimental work of Park & Nosoko (2003). The addition of surfactants is found to influence significantly the development of horseshoe-shaped waves. At low Marangoni numbers, we show that the wave fronts exhibit spanwise oscillations before eventually acquiring a quasi two-dimensional shape. In addition, the presence of Marangoni stresses are found to suppress the peaks of the travelling waves and preceding capillary wave structures. At high Marangoni numbers, a near complete rigidification of the interface is observed.
