Effects of Nonlinear Modal Interactions on the Thermoacoustic Stability of Annular Combustors
Effects of Nonlinear Modal Interactions on the Thermoacoustic Stability of Annular Combustors
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DOI：
10.1115/1.4040768
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发表时间：
2018-06
期刊：
影响因子：
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通讯作者：
A. Orchini;G. A. Mensah;J. Moeck
中科院分区：
文献类型：
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作者：
A. Orchini;G. A. Mensah;J. Moeck
在理论和数值分析中，低阶网络模型被用来研究具有离散旋转对称性的热声系统。它的几何形状类似于MICCA燃烧室（EQUATOire EM 2C，CentraleSupplement）;分析中采用的火焰描述函数（FDF）是单燃烧器配置的火焰描述函数，并取自文献中报道的实验数据。我们展示了如何在MICCA实验中观察到的大多数动力学特征，包括所谓的倾斜模式，可以在这个框架内预测，当考虑纵向和方位角热声模式之间的相互作用。我们展示了这些解决方案如何与模型系统的方程中所包含的对称性有关。我们还讨论了如何考虑的情况下，两种模式是线性不稳定的妥协的稳定性标准在文献中的适用性。
In this theoretical and numerical analysis, a low-order network model is used to investigate a thermoacoustic system with discrete rotational symmetry. Its geometry resembles that of the MICCA combustor (Laboratoire EM2C, CentraleSupelec); the flame describing function (FDF) employed in the analysis is that of a single-burner configuration and is taken from experimental data reported in the literature. We show how most of the dynamical features observed in the MICCA experiment, including the so-called slanted mode, can be predicted within this framework, when the interaction between a longitudinal and an azimuthal thermoacoustic mode is considered. We show how these solutions relate to the symmetries contained in the equations that model the system. We also discuss how considering situations in which two modes are linearly unstable compromises the applicability of stability criteria available in the literature.