Self-similar Solutions in the Nonsteady Propellant Burning Rate Theory and their Stability Analysis

Abstract

The problem of the non-steady burning of the propellant for the decreasing pressure is considered. Self-similar solutions are obtained for two models of the burning: with constant surface temperature and with variable surface temperature. As is shown for the constant surface temperature model there are two solutions of the problem corresponding to the high and low nonsteadinesses. The stability analysis carried out by the small perturbation method showed that the stable solution is the second one only.