Heat transfer in rapidly solidifying supercooled pure melt during final transient

► We calculate the temperature in a rapidly solidifying melt during the final transient. ► It is presumed that the interface approaches a surface with a constant velocity V. ► It also presumed that V/VH<1, where VH is the velocity of thermal disturbances in matter. ► First we find the temperature within the scope of the hyperbolic model of heat conduction. ► The temperature within the scope of the parabolic model is found by the limiting transient V/VH→0.