1974 Volume 38 Issue 5 Pages 426-433
When the molten metal is freezing unidirectionally by convectional heat transfer of the air, its heat equation can be expressed as follows:
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where h is the heat transfer coefficient, S is the heat transfer area, T is the temperature of sample, T∞ is the temperature of air at the infinity, M is the weight of sample, Cp is the specific heat at constant pressure, L is the latent heat of sample, t is the time, and fs is the fraction solidified.
The relation between t and T was obtained from the observed cooling curves of samples. After substituting them into the heat equation, the relation between fs and T was then calculated by graphically integrating the current equation.
The results obtained were compared with the relation between fs and T based on the equilibrium solidification or the nonequilibrium solidification proposed by Pfann et al.
It was found that fs was retarded compared to the two cases mentioned above. This was considered due to the solute built-up in the liquid at the solid-liquid interface during solidification as observed by E.P.M.A.