Stokes Flow past an Array of Annular Disks

2003 ◽  
Vol 30 (4) ◽  
pp. 367-380
Author(s):  
A. M. Gomilko ◽  
V. S. Malyuga ◽  
V. V. Meleshko ◽  
M. G. J. Verbruggen
Keyword(s):  
Stokes Flow ◽  
Flow Past ◽  
Annular Disks

Axisymmetric Stokes flow past a spherical cap

1976 ◽  
Vol 75 (2) ◽  
pp. 273-286 ◽  
Author(s):  
J. M. Dorrepaal ◽  
M. E. O'neill ◽  
K. B. Ranger
Keyword(s):  
Vortex Ring ◽  
Stokes Flow ◽  
Concave Surface ◽  
Local Velocity ◽  
Oncoming Flow ◽  
Spherical Cap ◽  
Stream Surface ◽  
Flow Past ◽  
Mainstream Flow

The axisymmetric streaming Stokes flow past a body which contains a surface concave to the fluid is considered for the simplest geometry, namely, a spherical cap. It is found that a vortex ring is attached to the concave surface of the cap regardless of whether the oncoming flow is positive or negative. A stream surface ψ = 0 divides the vortex from the mainstream flow, and a detailed description of the flow is given for the hemispherical cup. The local velocity and stress in the vicinity of the rim are expressed in terms of local co-ordinates.

scholarly journals Stokes flow past three spheres

2013 ◽  
Vol 245 ◽  
pp. 302-316 ◽  
Author(s):  
Helen J. Wilson
Keyword(s):  
Stokes Flow ◽  
Flow Past

Analytic solutions for Stokes flow past a partially encapsulated droplet

1997 ◽  
Vol 9 (5) ◽  
pp. 1218-1221 ◽  
Author(s):  
D. Palaniappan ◽  
Sangtae Kim
Keyword(s):  
Stokes Flow ◽  
Analytic Solutions ◽  
Flow Past

scholarly journals Analytical solutions of compacting flow past a sphere

2014 ◽  
Vol 746 ◽  
pp. 466-497 ◽  
Author(s):  
John F. Rudge
Keyword(s):  
Analytical Solutions ◽  
Stokes Flow ◽  
Solid Matrix ◽  
Rigid Sphere ◽  
Deformable Solid ◽  
Two Phase ◽  
Low Viscosity ◽  
Flow Past ◽  
Phase Medium ◽  
Flow Past A Sphere

AbstractA series of analytical solutions are presented for viscous compacting flow past a rigid impermeable sphere. The sphere is surrounded by a two-phase medium consisting of a viscously deformable solid matrix skeleton through which a low-viscosity liquid melt can percolate. The flow of the two-phase medium is described by McKenzie’s compaction equations, which combine Darcy flow of the liquid melt with Stokes flow of the solid matrix. The analytical solutions are found using an extension of the Papkovich–Neuber technique for Stokes flow. Solutions are presented for the three components of linear flow past a sphere: translation, rotation and straining flow. Faxén laws for the force, torque and stresslet on a rigid sphere in an arbitrary compacting flow are derived. The analytical solutions provide instantaneous solutions to the compaction equations in a uniform medium, but can also be used to numerically calculate an approximate evolution of the porosity over time whilst the porosity variations remain small. These solutions will be useful for interpreting the results of deformation experiments on partially molten rocks.

Stokes flow past a compound drop in a circular tube

2010 ◽  
Vol 22 (7) ◽  
pp. 072003 ◽  
Author(s):  
Yanxi Song ◽  
Jinliang Xu ◽  
Yongping Yang
Keyword(s):  
Stokes Flow ◽  
Circular Tube ◽  
Flow Past
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