MODEL OF DENDRITE GROWTH IN METALLIC ALLOYS

The aim of this study was to develop a model of dendrite growth. The model should emphasis on solute depletion around dendrite tip and its influence on dendrite growth rate. Prepared model can be used to predict dendrite growth rate in metallic alloy. It was assumed that dendrite while growing occupy a spherical envelope with radius R that consists of solid dendrite and interdendritic melt enclosed by dendrite arms. Set of differential equations that built the model can be solved with numerical methods. The solution allows determination of dendrite growth rate and alloy component distribution in the liquid adjected to the dendrite and inside the solid dendrite.