The motion of a spherical particle in the stokes flow outside a circular orifice

1989 ◽  
Vol 10 (9) ◽  
pp. 829-841
Author(s):  
Shan Hui-xian ◽  
Yan Zong-yi
Keyword(s):  
Spherical Particle ◽  
Stokes Flow ◽  
Circular Orifice

Stokes flow of a rotating sphere around the axis of a circular orifice or a circular disk

1995 ◽  
Vol 11 (4) ◽  
pp. 307-317 ◽  
Author(s):  
Feng Jianjun ◽  
Zhang Benzhao ◽  
Wu Wangyi
Keyword(s):  
Stokes Flow ◽  
Circular Disk ◽  
Rotating Sphere ◽  
Circular Orifice

Axisymmetric Stokes flow through a circular orifice in a tube

2005 ◽  
Vol 17 (5) ◽  
pp. 053602 ◽  
Author(s):  
Jae-Tack Jeong ◽  
Sung-Ryul Choi
Keyword(s):  
Stokes Flow ◽  
Circular Orifice ◽  
Flow Through

scholarly journals On the hydrodynamics of ‘slip–stick’ spheres

2008 ◽  
Vol 606 ◽  
pp. 115-132 ◽  
Author(s):  
JAMES W. SWAN ◽  
ADITYA S. KHAIR
Keyword(s):  
Reynolds Number ◽  
Shear Flow ◽  
Spherical Particle ◽  
Stokes Flow ◽  
Velocity Gradient ◽  
Slip Length ◽  
Rotational Velocity ◽  
Spherical Particles ◽  
Force Density ◽  
Translational Velocity

The breakdown of the no-slip condition at fluid–solid interfaces generates a host of interesting fluid-dynamical phenomena. In this paper, we consider such a scenario by investigating the low-Reynolds-number hydrodynamics of a novel ‘slip–stick’ spherical particle whose surface is partitioned into slip and no-slip regions. In the limit where the slip length is small compared to the size of the particle, we first compute the translational velocity of such a particle due to the force density on its surface. Subsequently, we compute the rotational velocity and the response to an ambient straining field of a slip–stick particle. These three Faxén-type formulae are rich in detail about the dynamics of the particles: chiefly, we find that the translational velocity of a slip–stick sphere is coupled to all of the moments of the force density on its surface; furthermore, such a particle can migrate parallel to the velocity gradient in a shear flow. Perhaps most important is the coupling we predict between torque and translation (and force and rotation), which is uncharacteristic of spherical particles in unbounded Stokes flow and originates purely from the slip–stick asymmetry.

Thermal Buoyancy-Aided Flow around a Heated/Cooled Spherical Particle

2011 ◽  
Vol 42 (8) ◽  
pp. 689-710 ◽  
Author(s):  
P. P. Gopmandal ◽  
Somnath Bhattacharyya
Keyword(s):  
Spherical Particle ◽  
Thermal Buoyancy

Chaotic Advection by Two-Dimensional Stokes Flow in a Semicircle

2004 ◽  
Vol 31 (4) ◽  
pp. 344-357
Author(s):  
T. A. Dunaeva ◽  
A. A. Gourjii ◽  
V. V. Meleshko
Keyword(s):  
Stokes Flow ◽  
Chaotic Advection ◽  
Two Dimensional
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