2004•Journal of the Japan Institute of Metals and MaterialsOpen access

Analytical Model for Arrayed/Free Dendrite from Highly Supercooled Melt

Yasunori Miyata, Manabu Yamamoto, Yasusi Fukuzawa

Abstract

Arrayed growth of dendrite is studied analytically in highly supercooled melt.The proposed model takes into account the ef fect of interfacial shape of dendrite tip, the array of dendrite and the area of dendrite tip.Predictions are compared with ex perimental results in the solidification of organic alloy.A dendrite is shown to grow almost freely (unconstrained) with other den drites in lowly supercooled melt, but constrained in highly supercooled melt.

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Key concepts: Supercooling, Dendrite (mathematics), Materials science, Thermodynamics, Geometry, Physics, Mathematics