Similarity Solution in the Study of Flow and Heat Transfer Between Two Rotating Spheres with Constant Angular Velocities

Abstract

Abstract. The similarity solution of the steady-state motion and heat transfer of a viscous incompressible

uid contained between two concentric spheres, maintained at di erent temperatures and rotating about a common axis with di erent constant angular velocities, is considered. The resulting ow pattern, temperature distribution and heat transfer characteristics are presented for various cases. Aside from the energy equation, the same results as previous works are obtained for Navier-Stokes equations, but with less computational complexities.