Comparison of three mathematical models of directional crystallization

A. O. Gusev


Abstract: The paper provides the comparison of three mathematical models of directional crystallization. The one-dimensional models of crystal growth assuming complete mixing in the melt and no mixing in the melt are examined. The mathematical model of crystallization process in cylindrical ampoule, which accounts for crystallization interface movement, convective heat and mass transfer in the solution, diffusion heat and mass transfer in the crystal, is considered. The ranges of growth regime parameters, for which the simplified models are valid, are determined numerically.

Keywords: Stefan problem, phase transition, Bridgman method, mathematical modeling.

DOI: 10.20948/prepr-2022-53