论文标题
重力如何影响固体表面上滴的冻结动力学
How does gravity influence freezing dynamics of drops on a solid surface
论文作者
论文摘要
水滴冷冻是我们日常生活中的常见现象。在自然场景和工业生产中,不同的表面倾向为冷冻液滴带来了独特的变形和冻结动力。我们探索不同债券数量制度的吊坠和无柄液滴的冻结。通过考虑液滴形态,冻结前动力学和冻结时间来分析重力对液滴冷冻过程的影响。发现重力可以通过塑造初始液滴来显着影响液滴冷冻过程,从而分别导致吊坠和无柄液滴的变平或伸长。我们表明,液滴初始几何是最重要的参数,它完全控制了液滴冷冻。尽管初始液滴形状有显着差异,但在小键和大键数上发现了吊坠和无柄液滴的显着相似之处。发现冷冻液滴的最终高度与其初始高度成正比。发现冰液 - 空气接触线的时间演变可复制幂律$ t^{0.5} $,但明显比Stefan 1-d 1-D结冰前传播更快。结果,冻结液滴的时间比Stefan模型所预测的要快,并且发现它取决于初始液滴高度和通过简单的幂律的基本半径。
Water droplet freezing is a common phenomenon in our daily life. In both natural scenarios and industrial production, different surface inclinations bring distinctive deformation and freezing dynamics to frozen droplets. We explore the freezing of pendent and sessile droplets at different Bond number regimes. The effect of gravity on the droplet freezing process is analyzed by considering droplet morphology, freezing front dynamics, and freezing time. It is found that gravity can significantly influence droplet freezing processes via shaping the initial droplet, resulting in the flattening or elongation of pendent and sessile droplets, respectively. We show that the droplet initial geometry is the most important parameter and it completely controls the droplet freezing. Despite the significant difference in the initial droplet shape several remarkable similarities have been found for pendent and sessile droplets at small and large Bond numbers. The final height of a frozen droplet is found to be linearly proportional to its initial height. The time evolution of the ice-liquid-air contact line is found to reproduce the power-law $t^{0.5}$, but noticeably faster than the Stefan 1-D icing front propagation. As a consequence, the time to freeze a droplet is faster than predicted by the Stefan model and it is found to be dependent on the initial droplet height and base radius through a simple power-law.