A simplified numerical model is proposed to simulate the crystallization behavior of facet primary crystals of a hypereutectic Al–Si alloy. The alloy is assumed to be solidified in a cooling medium which is at a given temperature,
TB. The obtained results are summarized as follows: (1) The average crystal size,
d3, decreases as cooling rate,
R, increases. When
R exceeds a critical level, however,
d3 begins to converge to a constant value which depends on
TB. (2) The average crystal size depends on the maximum undercooling degree of the liquid phase, Δ
TLM. (3) The value of Δ
TLM is nearly equal to Δ
Tm which corresponds to the undercooling degree at the apparent onset of crystallization which is detected from the cooling curve.
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