In order to investigate the characteristics of the acoustic radiation induced by the interaction between high-temperature particles (Al₂O₃) and water from the underwater combustion of pyrotechnic composition, the bubble dynamic model was deduced based on heat transfer, mass transfer theory. The bubble radius and its growth velocity were calculated, and the bubble radius calculated and the literature results were compared also. Results show that with the high temperature particle continuous cooling, although bubble radius increases constantly, growth rate becomes slowly, and the calculated results agree well with literature.