Rotating flow in a cylinder with a circular barrier on the bottom
Abstract
The relative flow of a homogeneous, slightly viscous fluid in a rotating cylinder is induced by differential rotation of the bottom disk, on which a thin circular strip of small height is fixed. The axis of symmetry of the strip coincides with the rotation axis of the cylinder. At the strip a Stewartson layer exists which is partially free, partially attached to the strip. The structure of the Stewartson Etoexponent1/4layer (E being the Ekman number) is not affected by the height of the strip, but the Etoexponent1/3layer problem has to be solved in the two separate intervals. The fact that both solutions do not match at the strip edge necessitates the presence of an intermediate region that exhibits some characteristic features of an Ekman layer.
 Publication:

Journal of Engineering Mathematics
 Pub Date:
 April 1979
 DOI:
 10.1007/BF00042750
 Bibcode:
 1979JEnMa..13..153V
 Keywords:

 Boundary Layer Flow;
 Rotating Cylinders;
 Rotating Fluids;
 Uniform Flow;
 Viscous Fluids;
 Atmospheric Boundary Layer;
 Boundary Value Problems;
 Circular Cylinders;
 Fourier Series;
 Fluid Mechanics and Heat Transfer