Fractional crystallization on cooled walls: Separation efficiency with a growing crystal layer, its diffusion washing, and partial melting

Abstract

The redistribution of components in the crystal layer-melt system at the main stages of fractional crystallization on cooled walls is studied. Mathematical solutions that can be used for calculating the fraction of trapped melt and the value of effective distribution (partition) coefficient in the crystallization of systems of different types are obtained. The kinetics of diffusion of impurities and migration of liquid inclusions under the action of temperature gradients at the growth and diffusion-washing stages of a two-phase crystal layer is studied. Simple relations for calculating the holdup of a melt and the maximal degree to which the main component can be purified in the partial melting (sweating) of crystal layers are derived. The theoretical results are compared with the experimental data obtained in the fractional crystallization of organic mixtures and freezing of aqueous solutions. Comparative analysis of the efficiency of the studied stages of fractional crystallization is accomplished and some practical recommendations are formulated.