INFLUENCE OF VISCOUS DISSIPATION IN A FLUID BETWEEN CONCENTRIC ROTATING SPHERES

The steady motion of a viscous fluid contained between two concentric spheres which rotate about a common axis with different angular velocities is considered. A second-order method which was introduced previously by the authors to obtain numerical solutions of a class of Navier-Stokes problems coupled with a superimposed thermal field is successfully extended here to investigate the influence of the internal generation of heat by viscous dissipation on the thermal field. The resulting thermal field solutions are presented for various values of the Eckert number and the rotation ratio. It is shown that the inclusion of heat generation by viscous dissipation significantly alters the thermal field behavior, while the relative rates of rotation of the two spheres do not change the general character of the thermal-field.