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arXiv 2102.08727physics.flu-dyn
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挥发性混合物液膜中的Taylor色散:Marangoni收缩的定量模型

Taylor Dispersion in Thin Liquid Films of Volatile Mixtures: A Quantitative Model for Marangoni Contraction

Olinka Ramirez-Soto, Stefan Karpitschka

摘要:

当挥发性液体的二元混合物被放置在高能表面上时,会发生固着液滴的马兰戈尼收缩。虽然表面被混合物及其组分完全润湿,但观察到准静态非零接触角。这种表面上的矛盾是由Marangoni流引起的,Marangoni流是由液滴边缘附近的挥发性组分的蒸发耗尽驱动的。在这里,我们表明,这种液滴的组成是由泰勒分散,扩散和强内部剪切流的后果。我们表明,泰勒色散自然会出现在一个自洽的长波膨胀挥发性液体混合物。再加上扩散限制蒸发,该模型定量再现不仅明显的形状的Marangoni收缩液滴,但也其内部流动。

英文摘要:

The Marangoni contraction of sessile droplets occurs when a binary mixture of volatile liquids is placed on a high-energy surface. Although the surface is wetted completely by the mixture and its components, a quasi-stationary non-vanishing contact angle is observed. This seeming contradiction is caused by Marangoni flows that are driven by evaporative depletion of the volatile component near the edge of the droplet. Here we show that the composition of such droplets is governed by Taylor dispersion, a consequence of diffusion and strong internal shear flow. We demonstrate that Taylor dispersion naturally arises in a self-consistent long wave expansion for volatile liquid mixtures. Coupled to diffusion limited evaporation, this model quantitatively reproduces not only the apparent shape of Marangoni-contracted droplets, but also their internal flows.

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