Analysis of acoustic pressure response in hydrocarbon-oxygen strained diffusion flames

摘要

A general formulation is given for the analysis of planar counterflow hydrocarbon-oxygen diffusion flames subject to variable pressure and variable strain rate. A salient feature of the derivation is the introduction of a heat-conduction-weighted transverse coordinate that results in a compact transport operator in the conservation equations. The formulation is used for the analysis of the acoustic pressure response for a one-step chemistry model. Coupling functions allowing for general non-unity Lewis numbers of the fuel are introduced for the description of the fast-reaction limit. The results are used together with the Rayleigh criterion to identify frequency ranges of amplification and attenuation. The formulation is convenient for future investigations of effects of finite-rate chemistry.