On the swirling flow between rotating coaxial disks
Abstract
A system of ordinary differential equations which describe the steady flow of a NavierStokes fluid is considered. The fluid is contained between two parallel, infinite, plane disks. The disks are rotating about a common axis with constant angular velocities. A proof is provided concerning the existence of a solution of the differential equations for the case in which the larger angular velocity is less than a constant C, roughly equal to 1.5. A solution exists also if the disks rotate in the same direction and the difference of the squares of the angular velocities is less than the square of C.
 Publication:

Journal of Differential Equations
 Pub Date:
 July 1975
 DOI:
 10.1016/00220396(75)900728
 Bibcode:
 1975JDE....18..423E
 Keywords:

 Coaxial Flow;
 NavierStokes Equation;
 Parallel Plates;
 Rotating Disks;
 Steady Flow;
 Swirling;
 Angular Velocity;
 Boundary Value Problems;
 Differential Equations;
 Existence Theorems;
 Rotating Fluids;
 Turbulent Flow;
 Uniqueness Theorem;
 Fluid Mechanics and Heat Transfer