Scaling crossover in thin-film drag dynamics of fluid drops in the Hele-Shaw cell.
Scaling crossover in thin-film drag dynamics of fluid drops in the Hele-Shaw cell.
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DOI：
10.1038/srep31395
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发表时间：
2016-08-26
影响因子：
4.6
通讯作者：
Okumura K
中科院分区：
文献类型：
--
作者：
Yahashi M;Kimoto N;Okumura K
我们从实验和理论上研究了在两个平行板之间的受限空间中，即在Hele-Shaw池中，被另一不相容流体包围的液滴由于重力而产生的下降运动。结果，我们发现了粘性液体中非线性阻力摩擦的一种新的标度区域，它取代了著名的斯托克斯阻力，这要归功于标度定律对实验数据的明显破坏。在新的区域中，液滴和细胞壁之间形成的液体薄膜中的耗散控制了动力学。清楚地证明了这一标度区与另一种以液滴内部耗散为主的标度区的交叉，并给出了分离这些标度区的相图。
We study both experimentally and theoretically the descending motion due to gravity of a fluid drop surrounded by another immiscible fluid in a confined space between two parallel plates, i.e., in the Hele-Shaw cell. As a result, we show a new scaling regime of a nonlinear drag friction in viscous liquid that replaces the well-known Stokes’ drag friction through a clear collapse of experimental data thanks to the scaling law. In the novel regime, the dissipation in the liquid thin film formed between the drop and cell walls governs the dynamics. The crossover of this scaling regime to another scaling regime in which the dissipation inside the droplet is dominant is clearly demonstrated and a phase diagram separating these scaling regimes is presented.