Parameters of an accelerating spherical deflagration

A numerical analysis of an accelerating spherical deflagration is performed. It is shown that the deviations of the deflagration parameters from steady values are determined by the degree of increase in velocity in the law of motion for the flame front rather than by the acceleration value. Maximum deviations are observed at a front velocity equal to $\approx$0.1 of the sound velocity in the starting mixture. Analytical relations are obtained for the main parameters of the resulting flow for velocities up to a front velocity a factor of 1.5 higher than the sound velocity in the starting mixture.