Abstract
A model of dendritic growth in both supercooled pure and alloy melts is presented. In a pure melt, dendrite morphology is determined by the value of the dimensionless parameter sigma = 2 alpha (L)d(o)/sq Rr(t) whereas, in an alloy melt it is determined by the parameter sigma = 2 lambda (c)D(L)/sq Rr(t). The application of the above analysis to cylindrical and spherical growth morphologies obtained in highly supercooled melts has been discussed. An upper and lower bound for the particle or tip radius in this case has been obtained in terms of the growth rate and the initial bath supercooling.
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