Linear Stability and Pressure-Driven Response Function of Solid Propellants with Phase Transition

An extension of the Zel’dovich–Novozhilov approach to adiabatic burning of solid energetic materials subjected to a concentrated phase transition is presented. The pressure-driven frequency response function and intrinsic stability boundary are obtained in the linear approximation of the problem. The intrinsic stability boundary is portrayed as a parametric representation of oscillatory burning frequency. The corresponding previous results are recovered as a special case for no phase transition. The surface-temperature sensitivity parameter r is deduced by assuming the Arrhenius surface pyrolysis law. It is shown that phase transition may strongly affect the frequency response function, notwithstanding its limited thermal effect, if the operating point moves closer to the stability boundary. Some typical results are discussed. To validate these theoretical expectations, accurate error estimates of experimental results are needed.

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