A. Tilgner, HIGH-RAYLEIGH-NUMBER CONVECTION IN SPHERICAL-SHELLS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(5), 1996, pp. 4847-4851
Convection in a self-gravitating spherical shell is simulated numerica
lly for Prandtl numbers between 10 and 0.06. This geometry introduces
asymmetries between the boundary layers whose influence on the scaling
properties of the Nusselt and Reynolds numbers is investigated. The o
bserved Prandtl number dependences are compared with predictions from
mixing length theory and more recent theories which describe the ''har
d turbulence'' regime of convection. [S1063-651X(96)03605-7]