论文标题
用相图的理想谐振器中热声模式的分类
Categorization of Thermoacoustic Modes in an Ideal Resonator with Phasor Diagrams
论文作者
论文摘要
最近的一项研究（Yong，Silva和Polifke，燃烧228（2021））提出了使用相图图在具有紧凑的，速度敏感的火焰的理想谐振器中使用相分图对边缘稳定的模式进行分类。具有速度相位的模式将跨火焰逆转的模式归类为ITA模式。本研究将这一概念扩展到增长和衰减模式。换句话说，使用提出的方法，可以区分给定的热声模式（无论其稳定性如何）是否应归类为声学或ITA。提出的方法不依赖于任何参数扫描，而是基于与火焰跨速度相思相关的角度。这种分类方法揭示了在复杂平面中的不同区域，在该平面中，声学和ITA本特征频率是局部的。此外，我们分析了火焰位置的介质振荡，以构建对所提出的分类方法的物理直观理解。
A recent study (Yong, Silva, and Polifke, Combust. Flame 228 (2021)) proposed the use of phasor diagrams to categorize marginally stable modes in an ideal resonator with a compact, velocity-sensitive flame. Modes with velocity phasors that reverse direction across the flame were categorized as ITA modes. The present study extends this concept to growing and decaying modes. In other words, with the method proposed, it is possible to distinguish whether a given thermoacoustic mode -- regardless of its stability -- should be categorized as acoustic or ITA. The method proposed does not rely on any parametric sweep, but on the angle relating the velocity phasors across the flame. This method of categorization reveals distinct regions in the complex plane where acoustic and ITA eigenfrequencies are localized. Additionally, we analyze the medium oscillation at the flame location to construct a physically intuitive understanding of the proposed categorization method.
