Theory of volumetric crystallization of the undercooled melt

The model of volumetric crystallization of the undercooled melt is presented. This model consists in proper consideration of heat release, caused by phase transition, by means of substitution of real distribution of the temperature field, formed in the melt around the growing sites of a new phase, into the kinetic equations describing the process. Numerical solution to the problem was derived at the example of metal melt crystallization. The current model is compared with the isothermal model and the model, based on consideration of heat release in balance relationships.