Abstract
The present paper is concerned with analytical description of self-similar crystallization regime in the presence of a phase transition layer (two-phase zone or mushy layer) filled with the growing solid phase and liquid. A nonlinear heat and mass transfer model is simplified to describe the case of small variations of the solid phase fraction in the two-phase zone. An exact analytical solution of simplified model is obtained. We show that this solution is in good agreement with the previously known theory. An important point is that the obtained solution has a wider scope of applicability than the asymptotic solution previously found in the vicinity of the bifurcation point.
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