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微通道中多体水动力相互作用的精确多极方法。

Precise multipole method for calculating many-body hydrodynamic interactions in a microchannel.

机构信息

Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5B, 02-106 Warsaw, Poland.

出版信息

J Chem Phys. 2010 Oct 21;133(15):154105. doi: 10.1063/1.3496481.

DOI:10.1063/1.3496481
PMID:20969368
Abstract

We introduce a novel and precise method for computing many-body hydrodynamic interactions in a cylindrical microchannel. The method is generic in the sense that we can easily change the radius and the character of particles (hard spheres, droplets, permeable spheres, etc.). These features are not available in any of the existing methods. Comparison with the available results validates our method. In particular we obtain excellent agreement with the analytically known expression for the single particle friction coefficient. Additionally we observe negative hydrodynamic coupling for finite particles which are consistent with the recently reported effect for point particles. As an example we compute the velocities of polymeric chains of particles in parabolic flow and compare them to unbounded space. The method will be helpful in the understanding of physical and physicochemical processes in a wide range of bio-, geophysical, and microfluidic systems.

摘要

我们介绍了一种新颖而精确的方法,用于计算圆柱微通道中的多体流体动力学相互作用。该方法具有通用性,因为我们可以轻松更改粒子的半径和特性(硬球、液滴、可渗透球等)。这些功能在任何现有方法中都不可用。与现有结果的比较验证了我们的方法。特别是,我们获得了与单个粒子摩擦系数的解析表达式非常吻合的结果。此外,我们观察到有限粒子的负流体动力耦合,这与最近报道的点粒子效应一致。作为一个例子,我们计算了抛物线流中粒子聚合物链的速度,并将其与无界空间进行了比较。该方法将有助于理解广泛的生物、地球物理和微流系统中的物理和物理化学过程。

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