Nature of buoyancy-driven flows in a reduced-gravity environment

The role of buoyancy-driven convection in reduced-gravity environments has been emphasized. It is shown that for some materials-processing experiments the values of the fundamental dimensionless parameters such as Gr or Ra are shifted from the very large (ground-based values) to moderately large (space-based values). As a consequence, in cases where approximate analytical solutions are desired, the accuracy of the usual asymptotic (boundary-layer) analysis in which infinitely large parametric ranges are assumed is reduced. Approximate analytical techniques for refinement of the asymptotic solutions are identified that will extend the accuracy to the moderately large parametric ranges associated with space-based processing.