Abstract
The acoustic pressure response coupled to finite-rate chemistry is analyzed for counterflow diffusion flames with one-step irreversible Arrhenius reactions. Particular attention is focused on the premixed-flame regime of the diffusion flame with an acoustic frequency of the same order of magnitude as the rate of strain. The acoustic response is obtained from a linear analysis involving activation-energy asymptotics and is found to result from two mechanisms, namely, oscillations of the reaction sheet induced by acoustic-produced fluctuations of the reaction rate and oscillations of the flow-field variables produced by the transport-zone response. The former is dominant near extinction, while the latter is dominant near equilibrium. The amplification rates near extinction are larger by an order of magnitude than those near equilibrium. Therefore, analyses of the acoustic response that do not consider finite reaction rates can underestimate amplification rates significantly.
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