Analytical Model for Arrayed/Free Dendrite from Highly Supercooled Melt

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