论文标题
用于建模层状燃烧器中热声不稳定性的同步框架
Synchronization framework for modeling transition to thermoacoustic instability in laminar combustors
论文作者
论文摘要
我们在此提出了一个基于同步框架来描述热声系统并捕获这种系统经历的多个分叉的新模型。该新模型没有将功能描述功能描述为火焰对声学扰动的反应，而是将不稳定的热量释放速率描述为一对非耦合阻尼振荡器的声场和不稳定的热量释放速率。通过改变耦合强度，可以捕获多种动力学行为，包括极限周期振荡，准周期性振荡，奇怪的非chaos和混乱。此外，该模型能够定性地复制Kabiraj等人在实验中观察到的层流热声系统的不同行为。通过分析在不同动力学状态下热释放速率振荡与压力振荡之间相位差的时间变化，我们表明动力状态的特征取决于两个信号之间同步的性质，这与先前的实验结果一致。
We, herein, present a new model based on the framework of synchronization to describe a thermoacoustic system and capture the multiple bifurcations that such a system undergoes. Instead of applying flame describing function to depict the unsteady heat release rate as the flame's response to acoustic perturbation, the new model considers the acoustic field and the unsteady heat release rate as a pair of nonlinearly coupled damped oscillators. By varying the coupling strength, multiple dynamical behaviors, including limit cycle oscillation, quasi-periodic oscillation, strange nonchaos, and chaos can be captured. Furthermore, the model was able to qualitatively replicate the different behaviors of a laminar thermoacoustic system observed in experiments by Kabiraj et al.~[Chaos 22, 023129 (2012)]. By analyzing the temporal variation of the phase difference between heat release rate oscillations and pressure oscillations under different dynamical states, we show that the characteristics of the dynamical states depend on the nature of synchronization between the two signals, which is consistent with previous experimental findings.
