论文标题
缓慢蒸发二元混合物的薄液膜的稳定性
The stability of slowly evaporating thin liquid films of binary mixtures
论文作者
论文摘要
我们认为薄液层的蒸发是由挥发性液体的二元混合物组成的。该混合物位于加热的底物的顶部，并与与二进制混合物相同的蒸气组成的气相接触。考虑了热毛细血管，溶质毛细血管和范德华相互作用的影响。我们得出了自由界面的长波演化方程以及控制层的二维稳定性的体积分数，并受到上述耦合机制的影响并执行线性稳定性分析。我们的结果证明了两种不稳定性模式，单调的不稳定性模式和振荡不稳定性模式。我们通过瞬态模拟来补充稳定性分析的结果，以检查非线性制度中的动力学，并分析这些不稳定性如何随时间发展。更准确地说，我们讨论了相对波动率的影响以及热量和溶质的marangoni效应之间的竞争如何定义由于一种成分的优先蒸发而导致液态蒸发过程中发展的不稳定性。
We consider the evaporation of a thin liquid layer which consists of a binary mixture of volatile liquids. The mixture is on top of a heated substrate and in contact with the gas phase that consists of the same vapour as the binary mixture. The effect of thermocapillarity, solutocapillarity and the van der Waals interactions are considered. We derive the long-wave evolution equations for the free interface and the volume fraction that govern the two-dimensional stability of the layer subject to the above coupled mechanisms and perform a linear stability analysis. Our results demonstrate two modes of instabilities, a monotonic instability mode and an oscillatory instability mode. We supplement our results from stability analysis with transient simulations to examine the dynamics in the nonlinear regime and analyse how these instabilities evolve with time. More precisely we discuss how the effect of relative volatility along with the competition between thermal and solutal Marangoni effect defines the mode of instability that develops during the evaporation of the liquid layer due to preferential evaporation of one of the components.
