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MODELING EVAPORATION OF A SMALL DROP ON A HORIZONTAL SUBSTRATE

机译:在水平基材上对小滴的蒸发进行建模

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The evaporation of a small liquid drop on a solid substrate is not only a fundamental phenomenon in our daily life, but also of particular importance in a number of applications, such as particle synthesis, DNA/RNA arrangement and disease diagnosis. This phenomenon has been extensively discussed by many researchers, however, most of these studies considered only drops that are smaller than the capillary length (e.g., 2.7 mm for water droplets), and the gravity effects were thus neglected. So we attempt to make a detailed investigation of the gravity effects on the liquid drop evaporation on a horizontal substrate using the lattice Boltzmann method. In order to account for the variation of evaporation flux along the drop interface, an evaporation scheme is introduced into the framework of the multiphase lattice Boltzmann method. Our code is validated by some simple cases, and the simulated values agree well with analytical values. Then the drop shape changing rules and inside flow patterns of drops with or without gravity during evaporation at different contact angles are studied. The results show that the gravity impact decreases as the drop size decreases. When the drop size is lower than a critical value, the gravity impact is negligible, which is in accordance with our common sense. However, these critical values for water droplets with different wetting properties are found at least 25% lower than the value given by the classical theory of capillary. Therefore, many previous studies may need to be reconsidered.
机译:固体基质上微小液滴的蒸发不仅是我们日常生活中的基本现象,而且在许多应用中尤其重要,例如颗粒合成,DNA / RNA排列和疾病诊断。许多研究者对此现象进行了广泛的讨论,但是,这些研究中大多数都只考虑了小于毛细管长度的液滴(例如,水滴为2.7mm),因此重力效应被忽略了。因此,我们尝试使用晶格玻尔兹曼方法对重力对水平基板上液滴蒸发的影响进行详细研究。为了解决沿液滴界面的蒸发通量的变化,将蒸发方案引入了多相晶格玻尔兹曼方法的框架。我们的代码通过一些简单的案例进行了验证,并且模拟值与分析值非常吻合。然后研究了在不同接触角下蒸发过程中有无重力的液滴形状变化规律和内部流动规律。结果表明,重力影响随着液滴尺寸的减小而减小。当液滴尺寸小于临界值时,重力影响可以忽略不计,这与我们的常识相符。但是,发现具有不同润湿特性的水滴的这些临界值比经典毛细管理论给出的值低至少25%。因此,许多以前的研究可能需要重新考虑。

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