scholarly journals Stokes-Flow Problem Solved Using Maple

2005 ◽  
pp. 667-670 ◽  
Author(s):  
Pratibha ◽  
D. J. Jeffrey
Keyword(s):  
Stokes Flow ◽  
Flow Problem

Slow steady rotation of axially symmetric bodies in a viscous fluid

1961 ◽  
Vol 10 (1) ◽  
pp. 17-24 ◽  
Author(s):  
R. P. Kanwal
Keyword(s):  
Angular Velocity ◽  
Flow Field ◽  
Viscous Fluid ◽  
Stokes Flow ◽  
Flow Problem ◽  
Analytic Solutions ◽  
The Body ◽  
Axially Symmetric ◽  
Steady Rotation ◽  
Axis Of Symmetry

The Stokes flow problem is considered here for the case in which an axially symmetric body is uniformly rotating about its axis of symmetry. Analytic solutions are presented for the heretofore unsolved cases of a spindle, a torus, a lens, and various special configurations of a lens. Formulas are derived for the angular velocity of the flow field and for the couple experienced by the body in each case.

Plane Stokes flows with time-dependent free boundaries in which the fluid occupies a doubly-connected region

2000 ◽  
Vol 11 (3) ◽  
pp. 249-269 ◽  
Author(s):  
S. RICHARDSON
Keyword(s):  
Surface Tension ◽  
Stokes Flow ◽  
Flow Problem ◽  
Rotational Symmetry ◽  
Time Dependent ◽  
Two Dimensional ◽  
Free Boundaries ◽  
Free Surfaces ◽  
Simply Connected ◽  
Surface Tension Model

Consider the two-dimensional quasi-steady Stokes flow of an incompressible Newtonian fluid occupying a time-dependent region bounded by free surfaces, the motion being driven solely by a constant surface tension acting at the free boundaries. When the fluid region is simply-connected, it is known that this Stokes flow problem is closely related to a Hele-Shaw free boundary problem when the zero-surface-tension model is employed. Specifically, if the initial configuration for the Stokes flow problem can be produced by injection at N points into an empty Hele-Shaw cell, then so can all later configurations. Moreover, there are N invariants; while the N points at which injection must take place move, the amount to be injected at each of these points remains the same. In this paper, we consider the situation when the fluid region is doubly-connected and show that, provided the geometry has an appropriate rotational symmetry, the same results continue to hold and can be exploited to determine the solution of the Stokes flow problem.

A Stokes flow problem between two non‐concentric cylinders

Mathematika ◽  
1963 ◽  
Vol 10 (2) ◽  
pp. 147-156
Author(s):  
K. B. Ranger
Keyword(s):  
Stokes Flow ◽  
Flow Problem ◽  
Concentric Cylinders
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