We present a model for nonhomogeneous solid propellant combustion that treats the nonhomogeneity as a small random perturbation of a homogeneous deflagration. Our model is based on our previous work (Margolis and Armstrong, 1986) and, unlike most previous models which are quasi-steady and one dimensional, allows for a fully nonsteady, multidimensional response of the deflagration to both spatial and temporal nonhomogeneities. In one calculation, we assume a random spatial distribution for the solid pyrolysis rate coefficient and obtain fluctuation statistics for the burning propellant in terms of the statistics of the random propellant medium. In another calculation, we obtain the burning rate response to a deterministic external pressure fluctuation. Our results are particularly applicable to nitrocellulose/nitroglycerin propellants, which are typically #x201C;almost#x201D; homogeneous.
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