1976 Volume 2 Issue 4 Pages 347-354
Hydrodynamical characteristics of viscous, incompressible flows in cavities may be required to design scraper-type heat exchangers and reactors often used for processing very highly viscous fluids.
In this work, stream functions and velocity components are obtained numerically by mean of a relaxation technique, for two-dimensional viscous flows in annular sectors bounded by a pair of co-axial circular walls (radii ratio, η) and by two radial walls (opening angle, 2α), of which the outer circular wall is rotating at a constant angular velocity.
Results obtained here can be shown with some typical flow patterns according to the aspect ratio (1-η)/2α. In each flow pattern the circulation rate, location of the vortex center and stream functions are correlated with the radii ratio and the opening angle of the angle sector by the special values of the circulation rate, location of the vortex center and others.