Mathematical simulation of the Lagrange ballistic problem for high-velocity systems

The problem of a piston being pushed by expanding gases released during rapid burnup of a charge is simulated mathematically. The model includes the laws of conservation of the dynamics of a two-phase medium, supplemented by the equation of kinetics with a linear dependence of the combustion rate on the pressure. The results of calculations for three types of ballistic systems showed good agreement with experimental data. Analysis of the calculations indicated that the complete gasdynamic picture must be taken into account when the projection velocity is increased and that the simplified models used earlier are inapplicable.