A method of analyzing interdendritic microsegregation was established using the finite difference method. The cross-sectional shape of dendrites and the fact that enrichment of the solute in the liquid phase at the solid-liquid interface restrains the advancement speed of the solid-liquid interface were considered. Directional solidification tests to examine interdendritic segregation were made to verify the method.
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Matsumiya, T., Kajioka, H., Mizoguchi, S., Ueshima, Y., & Esaka, H. (1984). MATHEMATICAL ANALYSIS OF SEGREGATIONS IN CONTINUOUSLY-CAST SLABS. Transactions of the Iron and Steel Institute of Japan, 24(11), 873–882. https://doi.org/10.2355/isijinternational1966.24.873