Stabilization of thermoacoustic oscillators by delay coupling
Stabilization of thermoacoustic oscillators by delay coupling
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通过延迟耦合稳定热声振荡器
DOI：
10.1103/physreve.98.052223
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发表时间：
2019
影响因子：
2.4
通讯作者：
T. Biwa
中科院分区：
文献类型：
--
作者：
H. Hyodo;T. Biwa
本文给出了延迟耦合热声振荡器振幅死亡的数值描述。振荡器是一个充满气体的谐振管，具有温度梯度。延迟耦合是通过连接振荡器的空心管引入的。热声振子及其连接管采用线性声学方程组建模。针对这两种耦合方式，分别进行了单管耦合和双管耦合的实验。对于单管耦合，当连接管长度为振荡频率的波长的四分之一或四分之三时，并且当管直径大于谐振管直径的62.5%时，发生振幅死亡。对于双管耦合，振幅死亡发生在由半波长的整数倍给出的管长度的特定组合中。所需的管直径小至谐振管直径的7.5%。从实验结果中验证了双管耦合的死区。与延迟耦合货车der Pol振荡器的比较突出了双管耦合的声学方面。
This paper presents a numerical description of amplitude death in delay-coupled thermoacoustic oscillators. An oscillator is a gas-filled resonance tube with a temperature gradient. Delay coupling is introduced by hollow tubes that connect the oscillators. Thermoacoustic oscillators and their connecting tubes are modeled by linear acoustic equations. For them, two coupling methods are tested: single-tube and double-tube coupling. For single-tube coupling, amplitude death occurs when the connecting tube length is one-quarter or three-quarters of the wavelength of the oscillation frequency and when the tube diameter is greater than 62.5% of the resonance tube diameter. For double-tube coupling, amplitude death occurs with specific combinations of the tube lengths given by integer multiples of the half-wavelength. The required tube diameter is as small as 7.5% of the resonance tube diameter. Death regions for the double-tube coupling are verified from the experimentally obtained results. Comparison with the delay-coupled van der Pol oscillators highlights acoustic aspects of the double-tube coupling.