Axisymmetric Stokes Flow Due to a Point Force near a Circular Disk

1983 ◽  
Vol 52 (2) ◽  
pp. 449-455 ◽  
Author(s):  
Moon-Uhn Kim
Keyword(s):  
Stokes Flow ◽  
Circular Disk ◽  
Point Force

scholarly journals Axisymmetric Stokes flow due to a point-force singularity acting between two coaxially positioned rigid no-slip disks

2020 ◽  
Vol 904 ◽  
Author(s):  
Abdallah Daddi-Moussa-Ider ◽  
Alexander R. Sprenger ◽  
Yacine Amarouchene ◽  
Thomas Salez ◽  
Clarissa Schönecker ◽  
...  
Keyword(s):  
Stokes Flow ◽  
Point Force

Abstract

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

The separation of Stokes flows

1977 ◽  
Vol 80 (4) ◽  
pp. 785-794 ◽  
Author(s):  
D. H. Michael ◽  
M. E. O'Neill
Keyword(s):  
Global Solution ◽  
Stream Function ◽  
Stokes Flow ◽  
Axisymmetric Flow ◽  
Circular Disk ◽  
Dominant Mode ◽  
The Body ◽  
Spherical Lens ◽  
Local Boundary ◽  
Flow Past

A study is made of the extent to which local boundary geometry can influence separation in a two-dimensional or an axisymmetric Stokes flow. It is shown that a Stokes flow can separate from a point on a smooth body at an arbitrary angle, which can be determined only by reference to the global solution for the flow past the body, and the dominant mode in the stream function near a point of separation is O(r3) in the distance r from the separation point. When the body has a protruding cusped edge it is shown that separation can occur at an arbitrary inclination to the edge which must again be determined from the global solution. In this case the stream function is O(r3/2) near the edge. When the flow is locally within a wedge-shaped region of angle β, where β ≠ π or 2π, and β > 146·3°, it is shown that the dominant modes near the vertex of the wedge are non-separating modes. It follows that, in general, a Stokes flow around such a wedge cannot separate from the vertex. This conclusion is illustrated by reference to the global solution for uniform axisymmetric flow past a spherical lens, in which the structure of the flow near the rim is examined in detail. In the case of a body having a sharp edge of small but non-zero angle protruding into the flow, so that β is very close to 2π, it is shown that separation occurs exceedingly near to the edge. This happens, for example, in the flow past a thin concave-convex lens, for which separation occurs near the rim on the concave side. The analysis also suggests that a similar separation occurs very near the rim on the flatter side of a thin asymmetric biconvex lens. However, for the symmetric biconvex lens, and, as a special case, the circular disk, no separation occurs on either side near the rim. For β < 146·3·, streaming flow into the vertex of a wedge does not occur because of the presence of an infinite set of vortices, and the possibility of separation at the vertex in the sense discussed here does not arise.

The velocity of a circular disk moving edgewise in quasi-steady Stokes flow toward a plane boundary

1999 ◽  
Vol 11 (9) ◽  
pp. 2463-2470 ◽  
Author(s):  
Jeffrey F. Trahan ◽  
R. G. Hussey ◽  
R. P. Roger
Keyword(s):  
Stokes Flow ◽  
Circular Disk ◽  
Plane Boundary

Stokes flow for a shrinking pore

2015 ◽  
Vol 788 ◽  
pp. 228-245 ◽  
Author(s):  
Christopher A. Aubin ◽  
Rolf J. Ryham
Keyword(s):  
Velocity Field ◽  
Viscous Fluid ◽  
Unsteady Flow ◽  
Drag Coefficient ◽  
Stokes Flow ◽  
Small Angle ◽  
Circular Disk ◽  
Dissipation Function ◽  
Exact Form ◽  
Bulk Fluid

We consider a sphere with a circular pore embedded in an unbounded viscous fluid, where the rim of the pore moves in such a way that the radius of the sphere is constant. Away from the pore, the surface area stretches or compresses uniformly. An exact form for the axisymmetric velocity field which describes the quasi-static motion of the bulk fluid is calculated. The resulting dissipation function yields an analytical value for the aqueous drag coefficient for the sphere with a shrinking pore. Additionally, we examine the small hole and small angle limits, which converge to the unsteady flow for the expansion of a hole in a plane wall, and for the contraction of a circular disk.

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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