Finite element solution of the Navier-Stokes equations in rotating flow
Abstract
The problem of viscous, incompressible rotating flow in a shrouded rotor geometry is solved by the finite element method using the complete, three-dimensional and axisymmetric Navier-Stokes equations. Solutions to classical as well as to previously unsolved rotating flow problems are given and discussed, including: (1) a disk confined in a cylindrical container; (2) two infinite disks; (3) a circular cylinder enclosed in a cylindrical container; (4) concentric circular cylinders; (5) concentric spheres; (6) a conical rotor; and (7) a gyroscope configuration.
- Publication:
-
International Journal for Numerical Methods in Engineering
- Pub Date:
- August 1981
- DOI:
- 10.1002/nme.1620170802
- Bibcode:
- 1981IJNME..17.1123B
- Keywords:
-
- Computational Fluid Dynamics;
- Finite Element Method;
- Flow Geometry;
- Navier-Stokes Equation;
- Rotating Fluids;
- Axisymmetric Flow;
- Incompressible Flow;
- Isoparametric Finite Elements;
- Laminar Flow;
- Shrouds;
- Three Dimensional Flow;
- Viscous Flow;
- Fluid Mechanics and Heat Transfer