Abstract

The theory of directional crystallization with a phase transition region is developed taking into account convective heat and mass transfer in the melt in the case of arbitrary temperatures of the cooling boundary, intensity of convection, nonlinear liquidus line equation, temperature-dependent kinematic viscosity, and thermal expansion coefficients, as well as the arbitrary dependence of the thermal conductivity on the fraction of the solid phase. The solid phase fraction at the boundaries of the two-phase zone and the temperature profile are determined. Approximate analytical solutions correspond to various stages of the crystallization process with a two-phase zone.

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