Viscous drag friction acting on a fluid drop confined in between two plates
Viscous drag friction acting on a fluid drop confined in between two plates
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DOI：
10.1039/c0sm01535k
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发表时间：
2011-01-01
期刊：
影响因子：
3.4
通讯作者：
Okumura, Ko
中科院分区：
文献类型：
--
作者：
Eri, Ayako;Okumura, Ko
近年来，在生物、化学和医学等许多领域的应用中，处理少量液体变得越来越重要。在这样的背景下，作用于受限几何形状的液滴的粘性阻力摩擦是一个不可或缺的基本问题，因为球体中的斯托克斯摩擦定律在许多物理过程中都是有用的。在这里，我们在准二维受限空间中(即在Hele-Shaw盒中)研究了这种与引力驱动相反的粘性阻力摩擦。因此，我们明确地建立了粘性阻力在不同区域的标度律。在受限几何中，这些比例定律取代了众所周知的斯托克斯摩擦定律。由于粘性流体力学中的最小耗散原理，尽管液滴和电池板之间存在液体薄膜的潜在微妙影响，但所提出的定律出人意料地简单。PAC数：47.55.D-液滴和气泡；89.75.Da体系服从标度律；68.15.+e液体薄膜；83.50.Lh滑移边界效应；47.57Bc泡沫和乳状液。
Dealing with a small amount of liquid has become increasingly important in recent applications in many fields such as biology, chemistry and medicine. In such a context, viscous drag friction acting on fluid drops in confined geometries is an indispensable fundamental issue, as the Stokes' friction law for a sphere in the bulk is useful in many physical processes. We study here, in a quasi two-dimensional confined space (i.e., in a Hele-Shaw cell), such viscous drag friction opposing gravitational drive. As a result, we establish in a clear way scaling laws for the viscous drag friction in different regimes. These scaling laws replace, in the confined geometry, the well-known Stokes' friction law. The proposed laws are unexpectedly simple in spite of the potential subtle effects of liquid thin films existing between the drop and the cell plates, thanks to the principle of minimal dissipation in viscous hydrodynamics. PACS numbers: 47.55.D-Drops and bubbles; 89.75.Da Systems obeying scaling laws; 68.15.+e Liquid thin films; 83.50.Lh Slip boundary effects; 47.57.Bc Foams and emulsions.