Coherence resonance and stochastic bifurcation behaviors of simplified standing-wave thermoacoustic systems

In this work, noise-induced motions (i.e., external fluctuations) in two modelled standing-wave thermoacoustic systems are studied when these systems are close to the deterministic stability boundary. These systems include (1) open-open (i.e., Rijke-type) and (2) closed-open boundary conditions. It...

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Main Authors: Li, Xinyan, Zhao, Dan, Shi, Baolu
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2019
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Online Access:https://hdl.handle.net/10356/87283
http://hdl.handle.net/10220/48135
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-872832023-03-04T17:12:05Z Coherence resonance and stochastic bifurcation behaviors of simplified standing-wave thermoacoustic systems Li, Xinyan Zhao, Dan Shi, Baolu School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering Acoustic Transducers Thermoacoustics In this work, noise-induced motions (i.e., external fluctuations) in two modelled standing-wave thermoacoustic systems are studied when these systems are close to the deterministic stability boundary. These systems include (1) open-open (i.e., Rijke-type) and (2) closed-open boundary conditions. It is found from the smooth transitions of the stationary probability density function that the thermoacoustic system is destabilized via stochastic P bifurcation, as the external noise intensity is continuously increased. In addition, the increased noise intensity can shift the hysteresis region, which makes the system more prone to quasi-periodic oscillations, but also reduces the hysteresis area. The noise-induced coherence motions are observed numerically in the open-open system, which is denoted by the occurrence of a bell-shaped signal to noise ratio (SNR). The SNR is shown to be applicable as a precursor. It becomes larger and the optimal noise intensity is decreased as the modelled thermoacoustic system approaches the critical bifurcation point. In addition, coherence resonance is observed in the closed-open system. To validate the findings, experimental studies are conducted on an open-open Rijke tube. Good qualitative agreements are obtained. The present study shed lights on the stochastic and coherence behaviors of the standing-wave thermoacoustic systems with different boundary conditions. NRF (Natl Research Foundation, S’pore) Published version 2019-05-09T02:14:15Z 2019-12-06T16:38:53Z 2019-05-09T02:14:15Z 2019-12-06T16:38:53Z 2019 Journal Article Li, X., Zhao, D., & Shi, B. (2019). Coherence resonance and stochastic bifurcation behaviors of simplified standing-wave thermoacoustic systems. The Journal of the Acoustical Society of America, 145(2), 692-702. doi:10.1121/1.5089214 0001-4966 https://hdl.handle.net/10356/87283 http://hdl.handle.net/10220/48135 10.1121/1.5089214 en The Journal of the Acoustical Society of America © 2019 Acoustical Society of America. All rights reserved. This paper was published in Journal of the Acoustical Society of America and is made available with permission of Acoustical Society of America. 11 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Mechanical engineering
Acoustic Transducers
Thermoacoustics
spellingShingle DRNTU::Engineering::Mechanical engineering
Acoustic Transducers
Thermoacoustics
Li, Xinyan
Zhao, Dan
Shi, Baolu
Coherence resonance and stochastic bifurcation behaviors of simplified standing-wave thermoacoustic systems
description In this work, noise-induced motions (i.e., external fluctuations) in two modelled standing-wave thermoacoustic systems are studied when these systems are close to the deterministic stability boundary. These systems include (1) open-open (i.e., Rijke-type) and (2) closed-open boundary conditions. It is found from the smooth transitions of the stationary probability density function that the thermoacoustic system is destabilized via stochastic P bifurcation, as the external noise intensity is continuously increased. In addition, the increased noise intensity can shift the hysteresis region, which makes the system more prone to quasi-periodic oscillations, but also reduces the hysteresis area. The noise-induced coherence motions are observed numerically in the open-open system, which is denoted by the occurrence of a bell-shaped signal to noise ratio (SNR). The SNR is shown to be applicable as a precursor. It becomes larger and the optimal noise intensity is decreased as the modelled thermoacoustic system approaches the critical bifurcation point. In addition, coherence resonance is observed in the closed-open system. To validate the findings, experimental studies are conducted on an open-open Rijke tube. Good qualitative agreements are obtained. The present study shed lights on the stochastic and coherence behaviors of the standing-wave thermoacoustic systems with different boundary conditions.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Li, Xinyan
Zhao, Dan
Shi, Baolu
format Article
author Li, Xinyan
Zhao, Dan
Shi, Baolu
author_sort Li, Xinyan
title Coherence resonance and stochastic bifurcation behaviors of simplified standing-wave thermoacoustic systems
title_short Coherence resonance and stochastic bifurcation behaviors of simplified standing-wave thermoacoustic systems
title_full Coherence resonance and stochastic bifurcation behaviors of simplified standing-wave thermoacoustic systems
title_fullStr Coherence resonance and stochastic bifurcation behaviors of simplified standing-wave thermoacoustic systems
title_full_unstemmed Coherence resonance and stochastic bifurcation behaviors of simplified standing-wave thermoacoustic systems
title_sort coherence resonance and stochastic bifurcation behaviors of simplified standing-wave thermoacoustic systems
publishDate 2019
url https://hdl.handle.net/10356/87283
http://hdl.handle.net/10220/48135
_version_ 1759854612520632320