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A criterion f thermo-acoustic stability based on the flux of acoustic energy
Combustion and Flame ( IF 4.4 ) Pub Date : 2021-01-16 , DOI: 10.1016/j.combustflame.2021.01.014
Felix Schily , Thomas Komarek , Wolfgang Polifke

This paper introduces a conservative criterion for thermo-acoustic stability. By subdividing a thermo-acoustic system into a passive subsystem – containing no source of acoustic energy – and an active subsystem containing all sources, the criterion can be formulated as follows: For positive or zero growth rates, the passive subsystem cannot feed acoustic energy into the active part. If for a given frequency, the active subsystem absorbs acoustic energy at the interface, this stands in contradiction to the property of the passive subsystem to never feed into the active subsystem. Therefore the overall system cannot be unstable at that frequency. This holds without regard to the exact properties of the passive subsystem. This stability criterion may be regarded as a special case of the Acoustic Energy Dissipation/Production Potentiality introduced by Auregan and Starobinski (Acta Acustica united with Acustica 85 (6) 1999). Merely evaluating this criterion for all real-valued frequencies is insufficient. Instead, it is necessary to cover all positive growth rates, too. Finally, the present paper specifies an algorithm that avoids missing any instabilities in the (2D) complex plane, but allows the investigation of a 1D domain.



中文翻译:

基于声能通量的热声稳定性判据

本文介绍了热声稳定性的保守标准。通过将热声系统细分为不包含声能源的无源子系统和包含所有声源的有源子系统,可以将标准表示为:对于正或零增长率,无源子系统无法将声能馈入活动部分。如果对于给定的频率,有源子系统在界面处吸收声能,则这与无源子系统从不馈入有源子系统的特性相矛盾。因此,整个系统在该频率下不会不稳定。这与无源子系统的确切属性无关。该稳定性标准可以看作是Auregan和Starobinski引入的声学能量耗散/生产潜能的特例(Acta Acustica与Acustica 85(6)1999联合使用)。仅针对所有实值频率评估此标准是不够的。相反,也必须涵盖所有正增长率。最后,本文指定了一种算法,该算法可以避免丢失(2D)复杂平面中的任何不稳定性,但是可以研究一维域。

更新日期:2021-01-18
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