The nonlinear splitdisc problem
Abstract
The paper gives a formal asymptotic analysis of the problem of the flow of an incompressible fluid between two infinite parallel disks, which are split into inner and outer portions rotating at slightly different angular velocities, when the Rossby number is large compared with the one quarter power of the Ekman number. A formal asymptotic expansion is developed within the complete flow field, and although precise solutions for the resultant equations cannot be found, the structure of the shear and Ekman is clearly given.
 Publication:

Quarterly Journal of Mechanics and Applied Mathematics
 Pub Date:
 November 1976
 Bibcode:
 1976QJMAM..29..399S
 Keywords:

 Boundary Layer Transition;
 Geostrophic Wind;
 Rossby Regimes;
 Rotating Disks;
 Rotating Fluids;
 Shear Layers;
 Angular Velocity;
 Asymptotic Methods;
 Asymptotic Series;
 Flow Distribution;
 Incompressible Fluids;
 Mathematical Models;
 NavierStokes Equation;
 Numerical Analysis;
 Fluid Mechanics and Heat Transfer