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FDF-based combustion instability analysis for evolution of mode shapes and eigenfrequency in the multiple flame burner

机译:基于FDF的燃烧稳定性分析,用于多火焰燃烧器中的模式形状和特征频率的演变

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In this work, the FDF (flame describing function)-based combustion instability analysis together with the Helmholtz solver has been made for the wide range of velocity perturbation and plenum length in the multiple premixed burner. The Helmholtz solver is based on the commercial software COMSOL and the present numerical analysis is made for the two-dimensional axisymmetric geometry. This study has been mainly motivated to systematically analyze the effects of the velocity perturbation on the detailed evolution of eigenfrequency and mode transformation characteristics versus the variation of the plenum length. Due to the realistic treatment for the acoustic boundary conditions as well as the pressure jump condition across the perforated plate, the present study is able to predict the continuous transformation of the mode shapes according to the variation of the plenum length. To precisely analyze the nonlinear combustion instability phenomena in the multiple flame combustor, computations are made for the wide range of velocity perturbation and plenum length. In terms of stable and unstable ranges of frequency, numerical results yield the comparable results with measurements. Moreover, the present numerical results for the higher velocity perturbation ratios clearly reveal the frequency locking phenomenon which does not change the eigenfrequency even for the condition transforming the acoustic modes several times. Based on numerical results, the detailed discussions are made for effects of the velocity perturbation on the evolution of eigenfrequency and mode transformation characteristics versus the variation of the plenum length. (C) 2017 Elsevier Ltd. All rights reserved.
机译:在这项工作中,已经为多个预混合燃烧器中的速度扰动和增压率的宽范围速度和增压器进行了基于燃烧不稳定分析的FDF(对照功能)。 Helmholtz求解器基于商业软件COMSOL,并且对二维轴对称几何形状进行了本发明的数值分析。本研究主要是有动力,系统地分析了速度扰动对特征频率和模式变换特性的详细演变的影响与增压室长度的变化。由于声边界条件的现实处理以及穿孔板上的压力跳转状态,本研究能够根据增压室长度的变化来预测模式形状的连续变换。为了精确地分析多个火焰燃烧器中的非线性燃烧不稳定现象,为广泛的速度扰动和增压长度进行计算。就频率稳定和不稳定的频率范围而言,数值结果产生了测量的可比结果。此外,较高速度扰动比的本数值结果清楚地揭示了频率锁定现象,即使对于几次变换声学模式,也不会改变特征频率的频率锁定现象。基于数值结果,对速度扰动的效果进行了详细的讨论对特征频率和模式转化特性的演化与增压室长度的变化的影响。 (c)2017 Elsevier Ltd.保留所有权利。

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