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


Faculty of Engineering,Ferdowsi University of Mashhad


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.