A SIMPLE DERIVATION OF ROTNE-PRAGER TENSOR AND HYDRODYNAMIC INTERACTIONS BETWEEN TWO SPHERES

被引:3
作者
Zhang, Qiyi [1 ]
Xiang, Xun [1 ]
机构
[1] Chongqing Univ Sci & Technol, Dept Math & Phys, Chongqing 401331, Peoples R China
来源
ACTA PHYSICA POLONICA B | 2012年 / 43卷 / 01期
基金
中国国家自然科学基金;
关键词
SPHERICAL-PARTICLES; PERMEABLE SPHERES; STOKES FLOWS; MOBILITY; NUMBER; FLUID;
D O I
10.5506/APhysPolB.43.111
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We have given a simpler derivation of the Rotrie-Prager tensor based on the exact fluid velocity formula for a uniform flow past a sphere in low Reynolds number regime. For two identical spheres in uniform flow, we have given the hydrodynamic interaction profiles for different distances and angles, which are formed between the flow directions and the connection lines of two spheres. The lift forces perpendicular to the flow directions are responsible for the migration phenomenon in the vorticity direction of a chiral object in shear flow.
引用
收藏
页码:111 / 119
页数:9
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