Theoretical studies for calculating the detonation products and properties of explosives

In order to calculate the detonation products and parameters, Lagrange multiplier and Newton iterative method were used to predict detonation products. The state equation of BKW was used to predict detonation parameters. In a range of pressure from 0 to 600 GPa and temperature from 300 to 15000 K, diamond was intended as the elemental carbon product. Based on the principle of minimum free energy, the equilibrium compositions of detonation products were calculated by using Newton iterative method, which need not calculate the free energy of each composition. The parameters of the state equation of BKW were modified. α=0.5; β=0.298; θ=6620; κ=9.50. Using self-made program, the detonation properties at CJ point of PETN, whose density is 1.77 g/cm3, were calculated with the theory in this paper and the equation of Hugoniot. The results show satisfactory agreement with the experimental data, with the error less than 1%. The density of detonation products is also predicted easily. When the density of PETN is 1.77 g/cm3, the density of detonation products is 2.43 g/cm3. ©, 2015, Explosion and Shock Waves. All right reserved.