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The acoustic response of Burke-Schumann counterflow flames

机译：Burke-Schumann逆流火焰的声学响应

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摘要

The acoustic response of strained nonpremixed flames is investigated using as a canonical model problem the planar counterflow configuration subject to small harmonic fluctuations of the stagnation-point pressure and strain rate. To focus on effects of modified transport rates the analysis employs the limit of infinitely fast reaction for a general non-unity Lewis number of the fuel, including values of interest in hydrogen-oxygen and hydrocarbon-oxygen systems. For both acoustic-pressure and acoustic-velocity response, differential-diffusion effects are shown to promote the fluctuations of the flame location and reactant consumption rates (while in the pressure response, distinct behaviors of the flame temperature were observed depending on stoichiometry). The results are used, together with the Rayleigh criterion, to investigate the frequency dependence of the amplification/attenuation rate relevant in computations of acoustic instabilities. The analysis predicts acoustic amplification for all frequencies in the pressure response, whereas a critical crossover frequency is identified in the strain response demarcating the transition from attenuation to amplification of acoustic energy. (C) 2018 The Combustion Institute. Published by Elsevier Inc. All rights reserved.
机译：以标准模型问题研究了应变非预混火焰的声学响应，该问题是滞流点压力和应变率的谐波波动较小的平面逆流构造。为了关注改进的传输速率的影响，该分析采用了对于燃料的一般非统一路易斯数的无限快速反应的限制，包括氢-氧和碳氢-氧系统中感兴趣的值。对于声压响应和声速响应，都显示出差分扩散效应来促进火焰位置和反应物消耗速率的波动（而在压力响应中，根据化学计量，观察到了火焰温度的不同行为）。将结果与瑞利标准一起用于调查与声学不稳定性计算相关的放大/衰减率的频率依赖性。该分析预测了压力响应中所有频率的声放大，而在应变响应中确定了一个临界交叉频率，从而划定了从声能衰减到放大的过渡。 （C）2018年燃烧研究所。由Elsevier Inc.出版。保留所有权利。

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