耦合热声解析分析：模型双流同轴燃烧室
Coupled thermoacoustic resolvent analysis of a model two-stream coaxial combustor
- State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences（中国科学院力学研究所非线性力学国家重点实验室）
- Department of Mechanical Engineering, National University of Singapore（新加坡国立大学机械工程系）
- School of Engineering Sciences, University of Chinese Academy of Sciences（中国科学院大学工程科学学院）
机构由 AI 辅助整理，请以论文原文为准。
中文总结 AI 辅助
本研究推导耦合热声解析算子，分析双流同轴燃烧室火焰-声学耦合效应，识别最优强迫与响应，发现声学共振及非秩一性质，并提出灵敏度分析识别敏感模态，为热声控制提供新策略。
中文摘要 AI 辅助
我们推导了一个解析算子，用于分析模型双流同轴燃烧室中的火焰-声学耦合效应。该理论分析同时考虑了活性火焰的流体动力学效应、燃烧室声学效应及其耦合效应。利用耦合热声解析，我们能够识别不同机制的最优强迫及其对应的最优响应。当这一新建模工具应用于双流同轴模型燃烧室时，它揭示了耦合系统与纯流体动力学线性系统相比截然不同的强迫-响应特性。观察到声能峰值，表明存在共振。此外，研究发现声学强迫不保持秩一性质。进一步地，通过一种新颖的灵敏度分析方法，可以识别对火焰-声学耦合效应最敏感的模态。有趣的是，通过采用耦合热声解析，我们证明了可以设计强迫来抵消或中和由另一种属性的强迫引起的扰动，这可能有助于开发有效的热声控制策略。
英文摘要
We derived a resolvent operator to analyze the coupled flame-acoustic effect in a model two-stream coaxial combustor. The theoretical analysis accommodates both the hydrodynamic effect of the active flame and chamber acoustic effect, as well as their coupling effect. Utilizing the coupled thermoacoustic resolvent, we are able to identify the optimal forcing of different mechanisms and their corresponding optimal responses. When this new modeling tool is applied to a two-stream coaxial model combustor, it reveals distinctly different forcing-response characteristics in the coupled system compared to those in a purely hydrodynamic linear system. Acoustic energy peaks, indicative of resonance, are observed. Additionally, it has been found that the acoustic forcing does not maintain a rank-one property. Furthermore, the modes most receptive to the flame-acoustic coupling effect can be identified using a novel sensitivity analysis approach. Interestingly, by employing the coupled thermoacoustic resolvent, we demonstrate that forcing can be designed to negate or counteract perturbations caused by the forcing of another attribute, potentially aiding in the development of effective thermoacoustic control strategies.
