The formation of Stewartson layers in a rotating fluid
Abstract
The development of vertical shear layers in a slightly viscous rotating fluid is investigated analytically, formulating the problem in a simple splitdisk geometry. The flow due to a single infinite split disk in a rotating fluid is treated by transform methods and asymptotic approximation, demonstrating the singular nature of the solutions near the split. These results are then applied to the classical splitdisk geometry of Stewartson (1957) with two parallel planes; techniques for calculating the flow in the different shear layers at different times are presented; and the modification of the method to analyze the case of a slowly rotating disk is considered.
 Publication:

Quarterly Journal of Mechanics and Applied Mathematics
 Pub Date:
 November 1987
 Bibcode:
 1987QJMAM..40..575S
 Keywords:

 Flow Equations;
 Rotating Fluids;
 Shear Layers;
 Two Dimensional Flow;
 Viscous Fluids;
 Cylindrical Coordinates;
 Geostrophic Wind;
 Rossby Regimes;
 Singularity (Mathematics);
 Fluid Mechanics and Heat Transfer