The diffusion-controlled growth of dendrite arrays is analyzed using an approach similar to that of Jackson and Hunt for rod eutectic growth. The growth rate is found to be determined by the diffusion coefficient, the size and spacing of the dendrites, and the differences of the interface concentration from that in bulk liquid and in the crystal. Relative to the model of an isolated dendrite, the results of the present analysis provide an improved description of the crystallization of a 0.10 K2O-0.90 SiO2composition. © 1975.
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