Experimental study of transition to instability in a Rijke tube with axially distributed heat source

Xi, Yunhe; Li, Xinyan; Wang, Yuanhao; Xu, Bo; Wang, Ningfei; Zhao, Dan

doi:10.1016/j.ijheatmasstransfer.2021.122157

Cited by 22 publications

(9 citation statements)

References 38 publications

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“…These trends are similar with the experimental measurement in Ref. 37. The main difference is the configuration with L h ¼ 20 mm, for two unstable regions are observed.…”

Section: Effects Of the Mean Flow Velocitysupporting

confidence: 91%

“…Following our previous experimental investigations in Ref. 37, this paper utilizes the method of numerical simulation to explore the internal mechanism for the large-amplitude pressure oscillation in the Rijke-type thermoacoustic system with an axially distributed heat source. Firstly, the geometric configuration and the numerical methodology are described Secondly, the effects of the axially distributed heater length, heater location, and the mean flow velocity on the stability of the thermoacoustic system as well as the related mechanisms are discussed.…”

Section: Introductionmentioning

confidence: 99%

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Investigation on the stability of the Rijke-type thermoacoustic system with an axially distributed heat source

Pang,

Wang,

et al. 2023

Journal of Low Frequency Noise, Vibration and Active Control

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Due to the incurred damages to the combustors, large-amplitude self-sustained thermoacoustic oscillations are unwanted in many propulsion systems, such as liquid/solid rocket motors and aero-engines. To suppress these thermoacoustic oscillations efficiently, the mechanism of thermoacoustic instability needs to be clarified. Following the previous experimental work, the transitions to instability in a Rijke-type thermoacoustic system with an axially distributed heat source are studied numerically in this paper. The URANS numerical method is utilized and verified by means of a mesh sensitivity analysis. The influences of the axially distributed heater length, the heater location, and the mean flow velocity on the nonlinear dynamic behaviors of thermoacoustic oscillations are evaluated. To explore the corresponding mechanism behind these influences, the principle of acoustic energy conservation has been applied. The acoustic energy gains from the thermal-acoustic coupling are quantified via Rayleigh’s integral, and their phase differences are calculated by the cross-correlation function. The acoustic damping induced by the vortex dissipation is qualitatively analyzed by the characteristics of the flow fields in the Rijke tube. Finally, as the heater length, the heater location, or the mean flow velocity is varied, three mechanisms of the transitions to instability in a Rijke-type thermoacoustic system are identified.

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“…These trends are similar with the experimental measurement in Ref. 37. The main difference is the configuration with L h ¼ 20 mm, for two unstable regions are observed.…”

Section: Effects Of the Mean Flow Velocitysupporting

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Investigation on the stability of the Rijke-type thermoacoustic system with an axially distributed heat source

Pang,

Wang,

et al. 2023

Journal of Low Frequency Noise, Vibration and Active Control

Self Cite

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“…[103][104][105][106][107][108][109][110][111][112][113][114] The acoustic damping performance of such coupled Helmholtz resonators is also related to the structures. [115][116][117][118][119] The conventional theoretical model 120,121 may not be applicable like the experimental 122,123 and numerical approaches 124,125 as discussed in the present work. modelling.…”

Section: Model Validationmentioning

confidence: 99%

Case studies on aeroacoustics damping performances of Coupled Helmholtz Resonators over low frequency ranges

Zhang

Win

2022

Journal of Low Frequency Noise, Vibration and Active Control

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Helmholtz resonators are widely applied in industries to reduce the transmission of unwanted noise and passively attenuate tonal noise in pipes/ducts. For example, internal combustion engines take advantage of Helmholtz resonators by combining air box, subwoofers and perforated pipes/plates to reduce engine noise emission nowadays. However, the main drawback of the conventional Helmholtz resonators includes a very narrow bandwidth. To broaden the effective noise damping frequency range of Helmholtz resonators, a number of different improved designs are reported and tested recently in the literature such as applying an array of separated resonators or implementing mechanical-coupled Helmholtz resonators. In this work, we conduct a brief review on the aeroacoustics damping performance of coupled Helmholtz resonators over low frequency range. The noise damping performances could be characterized and quantified in terms of transmission loss and sound absorption coefficient. Both definitions are discussed. Comparison is then made between the separately working resonators and the mechanical-coupled ones. This is achieved by replacing the sharable flexible sidewall with a rigid sidewall. The effect of the mean grazing flow is also discussed and examined on the noise damping performances. An experimental case study of the present authors is included. Additionally, to improve the noise damping performance further, an overview of the resonators neck with different noise damping materials inserted is conducted. Finally, 3D numerical approaches in simulating the aeroacoustics damping performances of coupled Helmholtz resonators are reviewed. This case study and brief overview provides a guidance on improving the design of coupled Helmholtz resonators and an array of Helmholtz resonators.

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“…2 of 15 random characteristics [22,23], especially when the thermoacoustic system is configured near stability boundaries. For example, the responses of a linearly stable thermoacoustic system are no longer a single state, as shown in deterministic analyses, but exhibit random pressure bursts.…”

Section: Introductionmentioning

confidence: 99%

Experimental Investigation on the Stochastically Forced Rijke-Type Supercritical Thermoacoustic Systems

Zhang¹,

WANG²,

Li³

et al. 2023

Preprint

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Intense thermoacoustic oscillations may lead to severe deterioration due to the induced intolerable damage to combustors. A better understanding of unstable behaviors is important to prevent or suppress these oscillations. Active thermoacoustic coupling in practical combustors is caused primarily by two approaches: inherent turbulent fluctuations and the flame response to acoustic waves. Turbulent fluctuations are generally characterized by random noise. This paper experimentally expands on previous analytic studies regarding the influence of colored disturbances on the thermoacoustic response near the supercritical bifurcation point. Therein, a laboratory-scale Rijke-type thermoacoustic system is established, and both supercritical and subcritical bifurcations are observed. Then, Ornstein–Uhlenbeck (OU)-type external colored noise is introduced near the supercritical bifurcation point, and the effects of the corresponding correlation time τc and noise intensity D are studied. The experimental results show that these variables of the colored noise significantly influence the dynamics of thermoacoustic oscillations in terms of the most probable amplitude, autocorrelation, and correlation time. A resonance-like behavior is observed as the noise intensity or the autocorrelation time of the colored noise is continuously varied, which means that the coherent resonance occurs in the thermoacoustic system. Finally, when the system is configured closer to the stability boundary, the extent of the coherence motion is intensified in the stochastic system response. Meanwhile, the Signal to Noise Ratios (SNRs) of the colored-noise-induced response are found to become more distinguished, the optimal colored noise intensity decreases, and the optimal autocorrelation time increases. This provides valuable guidance to predict the onset of thermoacoustic instabilities.

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Experimental study of transition to instability in a Rijke tube with axially distributed heat source

Cited by 22 publications

References 38 publications

Investigation on the stability of the Rijke-type thermoacoustic system with an axially distributed heat source

Investigation on the stability of the Rijke-type thermoacoustic system with an axially distributed heat source

Case studies on aeroacoustics damping performances of Coupled Helmholtz Resonators over low frequency ranges

Experimental Investigation on the Stochastically Forced Rijke-Type Supercritical Thermoacoustic Systems

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