Slow motion of a slip spherical particle along the axis of a circular cylindrical pore in a micropolar fluid

被引：11

作者：

Sherief, H. H. ^{[1
]}

Faltas, M. S. ^{[1
]}

Ashmawy, E. A. ^{[1
,2
]}

Nashwan, M. G. ^{[1
]}

机构：

[1] Univ Alexandria, Fac Sci, Dept Math & Comp Sci, Alexandria, Egypt

[2] Beirut Arab Univ, Dept Math & Comp Sci, Fac Sci, Beirut, Lebanon

来源：

JOURNAL OF MOLECULAR LIQUIDS | 2014年 / 200卷

关键词：

Micropolar fluid; Cylindrical pore; Slip condition; Collocation technique; STOKES-FLOW; SURFACE; DROPLET; SPHERES; BODY; DRAG;

D O I：

10.1016/j.molliq.2014.10.030

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：

The quasi-steady translational motion of a slip spherical particle in a micropolar fluid along the centerline of a circular cylindrical pore is investigated theoretically in the limit of small Reynolds numbers. The general solution of the problem at hand is constructed using the superposition of fundamental solutions in both cylindrical and spherical coordinate systems. The imposed boundary conditions on the cylindrical and spherical boundaries are applied and a collocation technique is utilized. Numerical results for the normalized drag force exerted on the particle are obtained with good convergence for various values of the ratio of particle-to-pore radii, slip coefficient and micropolarity parameter. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：273 / 282

页数：10

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