Finite element solution of the NavierStokes 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, threedimensional and axisymmetric NavierStokes 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;
 NavierStokes Equation;
 Rotating Fluids;
 Axisymmetric Flow;
 Incompressible Flow;
 Isoparametric Finite Elements;
 Laminar Flow;
 Shrouds;
 Three Dimensional Flow;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer