NONLINEAR EVOLUTION-EQUATIONS FOR THIN LIQUID-FILMS WITH INSOLUBLE SURFACTANTS
NONLINEAR EVOLUTION-EQUATIONS FOR THIN LIQUID-FILMS WITH INSOLUBLE SURFACTANTS
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DOI：
10.1063/1.868058
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发表时间：
1994-10-01
影响因子：
4.6
通讯作者：
CHRISTOV, CI
中科院分区：
文献类型：
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作者：
DEWIT, A;GALLEZ, D;CHRISTOV, CI
采用基于膜厚度、表面活性剂浓度和膜中流体切向速度三个非线性演化方程的简单模型，研究了含不溶性表面活性剂的自由液膜的动力学过程直至膜破裂。该模型是由自由膜的完整Navier-Stokes方程渐近导出的，并结合了由于表面张力梯度引起的范德华引力、毛细力和马兰戈尼力的影响。在周期边界条件和固定边界条件以及若干初始条件下，用数值方法观察了不同的稳定性状态。此外，评估了相关参数（Hamaker常数、张力、Marangoni数）对破裂时间的作用，并与固体基质上含有不溶性表面活性剂的液体膜的流动动力学进行了比较。
The dynamics of a free-liquid film with insoluble surfactants is followed until film rupture with a simple model based on three nonlinear evolution equations for the film thickness, the surfactants concentration and the tangential velocity of the fluid in the film. This model is derived asymptotically from the full Navier-Stokes equations for free films and incorporates the effect of van der Waals attraction, capillary forces and Marangoni forces due to gradients of surface tension. Different stability regimes are observed numerically for periodic and fixed boundary conditions and several initial conditions. Furthermore, the role of the relevant parameters (Hamaker constant, tension, Marangoni number) on the rupture time is assessed and comparison is made with the flow dynamics for a liquid film with insoluble surfactants on a solid substrate.