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Evaporation of sessile droplets laden with particles and insoluble surfactants

机译:充满颗粒和不溶性表面活性剂的无蒂液滴的蒸发

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摘要

We consider the flow dynamics of a thin evaporating droplet in the presence of an insoluble surfactant and non-interacting particles in the bulk. Based on lubrication theory, we derive a set of evolution equations for the film height, the interfacial surfactant and bulk particle concentrations, taking into account the dependence of the liquid viscosity on the local particle concentration. An important ingredient of our model is that it takes into account the fact that the surfactant adsorbed at the interface hinders evaporation. We perform a parametric study to investigate how the presence of surfactants affects the evaporation process as well as the flow dynamics with and without the presence of particles in the bulk. Our numerical calculations show that the droplet life-time is affected significantly by the balance between the ability of surfactant to enhance spreading suppressing the effect of thermal Marangoni stresses-induced motion and to hinder the evaporation flux through the reduction of effective interfacial are of evaporation, which tend to accelerate and decelerate the evaporation process, respectively. For particle-laden droplets and in the case of dilute solutions, the droplet life-time is found to be weakly-dependent on the initial particle concentration. We also show that the particle deposition patterns are influenced strongly by the direct effect of surfactant on the evaporative flux; in certain cases, the ”coffee stain” effect is enhanced significantly. A discussion of the delicate interplay between the effects of capillary pressure, solutal and thermal Marangoni stresses, which drive the liquid flow inside the evaporating droplet giving rise to the observed results is provided herein.
机译:我们考虑了在本体中存在不溶性表面活性剂和非相互作用颗粒的情况下,细小的蒸发液滴的流动动力学。基于润滑理论,我们考虑了液体粘度对局部颗粒浓度的依赖性,得出了一组关于膜高,界面活性剂和整体颗粒浓度的演化方程。我们模型的重要组成部分是考虑到吸附在界面上的表面活性剂阻碍了蒸发这一事实。我们进行了一项参数研究,以研究表面活性剂的存在如何影响蒸发过程以及在有或没有大块颗粒的情况下的流动动力学。我们的数值计算表明,液滴的寿命受表面活性剂增强扩散的能力,抑制热马兰戈尼应力引起的运动的影响和通过减少有效界面作用的蒸发而阻碍蒸发通量之间的平衡的显着影响,它们分别倾向于加速和减速蒸发过程。对于载有颗粒的液滴以及在稀溶液的情况下,发现液滴的寿命与初始颗粒浓度之间的依赖性很小。我们还表明,颗粒沉积模式受表面活性剂对蒸发通量的直接影响强烈影响。在某些情况下,“咖啡渍”效果明显增强。本文提供了毛细管压力,溶质和热马兰戈尼应力之间的微妙相互作用的讨论,毛管压力,溶质和热马兰戈尼应力驱动蒸发液滴内部的液体流动,从而产生观察到的结果。

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