“…For isothermal melt solidification with recalescence, some numerical modeling results suggested that the solid volume fraction was around 0.02%-0.08% at nucleation ceasing [10,24], which is rather small. For recalescence-free solidification cases, due to the lack of precise nucleation ceasing mechanism, the early grain size prediction models have to be based on arbitrarily predetermined thickness of SSN, R [7] or 4.6R [10] (for spherical grains) around growing grains of radius R, which might give solid fraction of 12.5% and 0.6%, respectively, at nucleation ceasing. In our recent model based on the solute segregation stifling mechanism, the solid fraction values of a DC-cast 5182 alloy were predicted in the range of 0.28~0.55% varying with local cooling rate [12].…”