Abstract
Using the integral‐balance method, the Stefan problem is solved for simply shaped crystals (a prism, a cylinder, and a sphere) grown in a supercooled melt. It is shown that the rate of crystal growth increases with the surface‐to‐volume ratio (in passage from a prism to a cylinder and a sphere). For all the three shapes of crystals studied the dependence of the speed of motion of the crystallization front on the supercooling is nonlinear and is characterized by a progressive increase.
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Samoilovich, Y.A., Timoshpol'skii, V.I. & Trusova, I.A. Analysis of Crystallization of a Supercooled Melt by the Integral‐Balance Method. Journal of Engineering Physics and Thermophysics 74, 199–207 (2001). https://doi.org/10.1023/A:1016658827880
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DOI: https://doi.org/10.1023/A:1016658827880