Abstract
Abstract The paper deals with the process of directional steady-state crystallization in the presence of a metastable phase transition region, where nucleation and crystal growth occur. A new analytical solution describing such a nonlinear heat and mass transfer phase transformation process is constructed on the basis of the saddle-point method for a Laplace-type integral. The crystal-size distribution function, supercooling and solid fraction in a moving metastable two-phase region are found analytically.
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