A mathematical model of high-temperature synthesis of nickel aluminide Ni$_3$Al by thermal shock of a powder mixture of pure elements

Within the framework of model concepts of the structure of a nickel-aluminum powder mixture a mathematical model was constructed for the high-temperature synthesis of nickel aluminide Ni$_3$Al by thermal shock according to the equilibrium state diagram of the aluminum-nickel system and using the equations of the diffusion kinetics of intermetallic-compound formation at the interface of the components under continuous heating by an external energy source. The main characteristics of thermal shock in the aluminum-nickel system were calculated numerically as a function of the size distribution of the nickel component of the starting stoichiometric powder mixture.