Modeling of a mushy zone during quasi-stationary solidification of TiAl alloy

Mathematical modeling of solidification processes is used in metallurgy and materials science since such methods allow determining the main features of the physical and mechanical properties of solidified substances. In some cases of solidification, the temperature of the metastable zone may significantly differ from the temperature of the equilibrium phase transition due to the supercooling effects and the resulting specific structures close to the moving crystallization front, such as the formation and growth of dendrites and nucleation effects. Taking into account the compensatory effects of latent heat generation, we present the development of the model and the results of modeling of the mushy zone for the case of TiAl melt and quasi-stationary solidification regime.