- Douglass, R. W. and Shaughnessy, E. J. and Munson, B. R., SMALL REYNOLDS NUMBER CONVECTION IN ROTATING SPHERICAL ANNULI.,
Journal of Heat Transfer, Transactions ASME, vol. 101 no. 3
pp. 427 - 433 .
(last updated on 2007/04/06)
A fourth order regular perturbation expansion in powers of the Reynolds number is used to investigate the steady convection of a stratified Boussinesq fluid in rotating spherical annuli. The results include the primary and secondary flow patterns temperature distributions, total heat flux, and torque characteristics emphasizing their dependence on a wide range of radius and angular velocity ratios. Maximum usable Reynolds numbers were found and usually were larger than 10. The optimum configuration for convective heat transfer is a radius ratio of 0. 35 and an angular velocity ratio of plus 1/3. This same configuration gives the largest torque as well.
FLOW OF FLUIDS - Spheres;MATHEMATICAL TECHNIQUES - Perturbation Techniques;