Numerical studies of slow viscous rotating flow past a sphere. II. III
Abstract
The NavierStokes equations are linearized using the Oseen approximation. Two parameters, namely the Reynolds number Re and the Reynolds number with respect to rotation Re(omega), enter the linearized equations. These equations are solved by the PeacemanRachford ADI (PRADI) method and the resulting algebraic equations are solved by the SOR method. Streamlines are plotted and compared with the Oseen solution for the nonrotating case. Then, the flow of steady incompressible viscous fluid rotating about the zaxis and moving along the zaxis past a sphere is considered. For small values of Re(omega), the linear and nonlinear problems are equivalent. Both these cases are solved by the PRADI method. The streamlines are drawn for Re(omega) = 0.05, 0.24, 0.5 and the effects of rotation on the Stokes drag for both linear and nonlinear cases are compared. The magnitudes for the vorticity vector at z = 0.2 for both cases are drawn and compared.
 Publication:

International Journal for Numerical Methods in Fluids
 Pub Date:
 November 1989
 DOI:
 10.1002/fld.1650091102
 Bibcode:
 1989IJNMF...9.1307R
 Keywords:

 Computational Fluid Dynamics;
 Incompressible Fluids;
 NavierStokes Equation;
 Numerical Flow Visualization;
 Rotating Fluids;
 Viscous Flow;
 Angular Velocity;
 Oseen Approximation;
 Reynolds Number;
 Steady Flow;
 Fluid Mechanics and Heat Transfer