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Abstract
A numerical analysis is carried out about the thick boundary layer of steady laminar free convection around an isothermal sphere by a method quite similar to that of the previous study for a horizontal cylinder. The results for the average heat transfer coefficient for Pr = 0.7, 10, and 100 and Ra = 10-2, 102, and 106 are expressed within an accuracy of 1% as follows:
Num = 2 + 0.S07C(Pr) Ram
and C(Pr) is a function of Pr. This expression predicts values a little lower than experimental results in the moderate Rayleigh number range. Also discussed are the radial distributions of temperature and velocity components and the azimuthal distribution of local Nusselt number, and the results are compared with previous theoretical and experimental results for the average Nusselt number.