Relationship of gain and phase in the transfer function of swirling flames

Relationship of gain and phase in the transfer function of swirling flames
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旋转火焰传递函数中增益与相位的关系

DOI:
10.1016/j.proci.2020.06.304
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发表时间:
2021
影响因子:
3.4
通讯作者:
Fei Qi
Fei Qi
中科院分区:
工程技术1区
文献类型:
--
作者:
Guoqing Wang;Jianyi Zheng;Lei Li;Xunchen Liu;Fei Qi

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火焰传递函数的增益和相位是评价非稳态火焰响应的两个关键特性。很少有研究FTF的增益和相位之间的相关性相比,广泛的文献中的增益特性。在这项研究中,我们测量了声激励旋流火焰的增益和相位与不同的流量,燃料,当量比,和燃烧器结构上的单喷嘴预混旋流燃烧器。我们首次发现,FTF的增益和相位导数在很宽的声学频率范围内的一致变化,并揭示了增益和相位导数的极值频率之间的基本线性关系,证明了FTF的增益和相位不是独立的。我们进一步提出了周期振荡旋流火焰的解析分解,其中FTF等于所有扰动机制的组合复矢量。基于矢量分解的双矢量模型可以解释不同火焰和声激励下增益和相位导数的同步变化特性。扰动矢量的时间滞后和角速度由火焰尖端和底部的不同空间位置决定。FTF模和相位导数的局部极值是由子矢量的相位干扰引起的。高频下应考虑多个复矢量对热释放速率的影响。
Gain and phase are two key characteristics of flame transfer function (FTF) in evaluating unsteady flame response. Few studies have investigated the correlation between gain and phase of FTF compared to the extensive literature on the gain characteristics. In this study, we measured the gain and phase of acoustic-excited swirling flames with different flow rates, fuels, equivalence ratios, and burner structures on a single nozzle premixed swirl burner. We identified, for the first time, the consistent variation of FTF gain and derivative of phase over a wide range of acoustic frequencies, and revealed an essential linear relationship between the extremal frequencies of gain and phase derivative, demonstrating that the gain and phase of FTF are not independent. We further proposed an analytical decomposition of the periodically oscillated swirling flame in which FTF equals the combined complex vector of all the perturbing mechanisms. The synchronized variation characteristics of the gain and phase derivative for different flames and acoustic excitations can be explained using a two vector model based on vector decomposition. The distinct time lags and angular velocities of the perturbing vectors were determined by the different spatial positions of the flame tip and base. The local extrema of the FTF modulus and phase derivative are caused by the phase interference of the sub-vectors. Multiple complex vectors affecting heat release rate should be considered under high frequency.
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