Numerical simulation of the axisymmetric periodic flow in a cylindrical cavity
Abstract
The full unsteady axisymmetric Navier-Stokes equations written in the vorticity-stream functions formulation have been solved in order to simulate the flow in a cylindrical tank with a rotating bottom. A critical Reynolds number in the 2300-2600 range is identified beyond which the flow becomes periodic. Examination of the flow structure during one period shows the development and vanishing of one or two recirculation zones along the axis of symmetry.
- Publication:
-
Academie des Sciences Paris Comptes Rendus Serie Sciences Mathematiques
- Pub Date:
- February 1989
- Bibcode:
- 1989CRASM.308..463D
- Keywords:
-
- Axisymmetric Flow;
- Channel Flow;
- Computerized Simulation;
- Cylinders;
- Unsteady Flow;
- Incompressible Flow;
- Stream Functions (Fluids);
- Transition Flow;
- Viscous Flow;
- Vorticity;
- Fluid Mechanics and Heat Transfer