Incompressible flow in a rapidly rotating cylinder with a source/sink distribution in the lateral wall and a free inner boundary
Abstract
The flow of an incompressible fluid in a rapidly rotating right circular cylinder is considered. A source/sink mass distribution at the lateral wall, which is azimuthally uniform and symmetric across the midplane, causes a deviation from wheel flow. The container is only partially full and the inner free surface is allowed to deviate slightly from the vertical. A finitedifference solution of the full axisymmetric, nonlinear governing equations was used to obtain the flow field. A special implicit technique for the Coriolis terms which maintains geostrophy was developed and is described. The results obtained for a low Rossby number flow compare quite favourably with the linearized solution. Results are also presented for a case wherein the nonlinear terms are important.
 Publication:

International Journal for Numerical Methods in Fluids
 Pub Date:
 December 1983
 DOI:
 10.1002/fld.1650030602
 Bibcode:
 1983IJNMF...3..529R
 Keywords:

 Annular Flow;
 Circular Cylinders;
 Free Boundaries;
 Incompressible Flow;
 Rotating Fluids;
 Coriolis Effect;
 Finite Difference Theory;
 Flow Equations;
 Mass Distribution;
 Rotating Cylinders;
 Fluid Mechanics and Heat Transfer