Creeping motion of a porous approximate sphere with an impermeable core in a spherical container

被引:9
作者
Srinivasacharya, D. [1 ]
Prasad, M. Krishna [1 ]
机构
[1] Natl Inst Technol, Dept Math, Warangal 506004, Andhra Pradesh, India
关键词
Porous approximate shell; Spherical container; Brinkman model; Stress jump boundary condition; Wall correction factor; STRESS JUMP CONDITION; BOUNDARY-CONDITION; HOMOGENEOUS FLUID; MOMENTUM-TRANSFER; VISCOUS-FLUID; CLEAR FLUID; STOKES-FLOW; PARTICLES; SHELL; CAVITY;
D O I
10.1016/j.euromechflu.2012.04.001
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The creeping motion of a porous approximate sphere with an impermeable core at the instant it passes the center of a spherical container is discussed. The flow in the spherical container is governed by the Stokes equation. The flow inside the porous approximate sphere is governed by Brinkman's equation. The boundary conditions used at the interface are stress jump condition for tangential stresses, continuity of the normal stresses and velocity components. The drag experienced by the porous approximate spherical particle is obtained. The wall correction factor is calculated. The variations of drag coefficient and wall correction factor are studied with respect to permeability, separation parameters, deformation parameters and stress jump coefficient. (C) 2012 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:104 / 114
页数:11
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