Hydrodynamic interactions between a sphere and a number of small particles

被引:6
|
作者
Ekiel-Jezewska, Maria L. [1 ]
Felderhof, B. U. [2 ]
机构
[1] Polish Acad Sci, Inst Fundamental Technol Res, Dept Mech & Phys Fluids, PL-02106 Warsaw, Poland
[2] Rhein Westfal TH Aachen, Inst Theorie Stat Phys, D-52056 Aachen, Germany
来源
JOURNAL OF CHEMICAL PHYSICS | 2015年 / 142卷 / 01期
关键词
LOW-REYNOLDS-NUMBER; RIGID SPHERES; MOBILITY; FLOW;
D O I
10.1063/1.4904981
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Exact expressions are derived for the pair and three-body hydrodynamic interactions between a sphere and a number of small particles immersed in a viscous incompressible fluid. The analysis is based on the Stokes equations of low Reynolds number hydrodynamics. The results follow by a combination of the solutions for flow about a sphere with no-slip boundary condition derived by Stokes and Kirchhoff and the result derived by Oseen for the Green tensor of Stokes equations in the presence of a fixed sphere. (C) 2015 AIP Publishing LLC.
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收藏
页数:5
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