Optimal burning rate sequences for a nonlinearpulse combustion model

摘要

Within the context of a specific lumped parameter model of pulse combus-tion, the following issue is addressed: given a specific submodel for the reactant flowrate, can one exhibit a sequence of burning rates, which converge to a limiting burn-ing rate, and for which the associated pressure amplitudes converge to an amplitudethat is arbitrarily large while, at the same time, the associated periods of oscillationconverge to zero; the existence of such optimal burning rate sequences is establishedand it is also shown that there exist burning rate sequences for which the associatedpulse combustor pressure amplitudes converge to zero.