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On the Space-Time Correlation of Heat Release Rate in Turbulent Premixed Flames

机译：湍流预混火焰中放热速率的时空相关性

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摘要

The spectral characteristics of combustion noise is dictated by the temporal correlation of the heat release rate fluctuation. This article investigates the two-point space-time correlation of heat release rate fluctuations by analyzing recent direct numerical simulation data of turbulent premixed flames. The results show that this correlation decays rapidly in both space and time due to the abrupt fluctuation of the heat release rate. The two-point space-time correlation can be modeled by Gaussian-type functions including the streamwise direction with strong convection. A flat low-frequency dependence is observed for the spectrum of the correlation function, which will allow the modeling of the spectral peak and the low-frequency spectral slope of combustion noise when multiplying the term omega(2) (omega is the angular frequency). This exploratory work shows the potential of this correlation function for capturing the spectral shape of combustion noise.
机译：燃烧噪声的频谱特性由放热速率波动的时间相关性决定。本文通过分析湍流预混火焰的直接数值模拟数据，研究了放热速率波动的两点时空相关性。结果表明，由于放热速率的突然波动，这种相关性在空间和时间上都迅速衰减。两点时空相关性可以通过高斯类型的函数建模，包括具有强对流的流向。观察到相关函数的频谱具有平坦的低频依赖性，这将在乘以项omega（2）时对燃烧噪声的频谱峰值和低频频谱斜率进行建模（ω是角频率） 。这项探索性工作显示了这种相关函数在捕获燃烧噪声频谱形状方面的潜力。

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