Transient Stokes flow in a wedge
Abstract
The transient flow in the sector region bounded by two intersecting planes and a circular cylinder is determined in the Stokes approximation. The plane boundaries are assumed to be at rest while the cylinder is rotating with a constant velocity starting at t = 0. The problem is solved by means of three different methods, a finite element, a finite difference, and a boundary element method. The corresponding problem in which the constant velocity boundary condition on the cylinder is replaced by a condition of constant stress is also solved by means of the finite element method.
 Publication:

ASME Journal of Applied Mechanics
 Pub Date:
 March 1987
 Bibcode:
 1987ATJAM..54..203X
 Keywords:

 Boundary Value Problems;
 Computational Fluid Dynamics;
 Rotating Cylinders;
 Stokes Flow;
 Transient Pressures;
 Wedge Flow;
 Boundary Conditions;
 Boundary Element Method;
 Finite Difference Theory;
 Finite Element Method;
 Shear Stress;
 Fluid Mechanics and Heat Transfer