- Douglass, R.W. and Munson, B.R. and Shaughnessy, E.J., Thermal convection in rotating spherical annuli. I. Forced convection,
Int. J. Heat Mass Transf. (UK), vol. 21 no. 12
pp. 1543 - 53 .
(last updated on 2007/04/06)
The steady forced convection of a viscous fluid contained between two concentric spheres which are maintained at different temperatures and rotate about a common axis with different angular velocities is considered. Approximate solutions to the governing equations are obtained in terms of a regular perturbation solution valid for small Reynolds numbers and a modified Galerkin solution for moderate Reynolds numbers. The resulting flow pattern, temperature distribution, and heat-transfer characteristics are presented for the various cases considered. The theoretical heat-transfer results for small and moderate Reynolds number flows within a spherical annulus with a stationary outer sphere are compared with previous experimental results for the large Reynolds number flow situation. The difference between conduction, Stokes flow, and boundary-layer convection is shown
boundary layers;convection in liquids;heat conduction;mathematical analysis;perturbation theory;rotational flow;temperature distribution;