Abstract
A numerical study of time-dependent free convective heat transfer from a solid sphere to an incompressible Newtonian fluid has been carried out for Grashof numbers between 0.05 and 12 500 and for Prandtl numbers of 0.72, 10 and 100. The energy and vorticity transport equations were solved using Peaceman and Rachford's ADI method and the stream function equation was solved using point iterative successive over-relaxation. From the late-time steady-state solutions it was observed that even at extremely low Grashof numbers, weak convection processes were present in the region close to the outer boundary. However, it was found that even at moderate Grashof numbers the dominant mode of vorticity transport close to the surface was by diffusion.
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