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Title: Effects of background noises on nonlinear dynamics of a modelled thermoacoustic combustor
Authors: Li, Xinyan
Zhao, Dan
Li, Xuan
Keywords: Acoustics
Nonlinear Acoustics
Issue Date: 2018
Source: Li, X., Zhao, D., & Li, X. (2018). Effects of background noises on nonlinear dynamics of a modelled thermoacoustic combustor. Journal of the Acoustical Society of America, 143(1), 60-70.
Series/Report no.: Journal of the Acoustical Society of America
Abstract: In this work, the effects of background noises on nonlinear dynamics of a modelled standing-wave thermoacoustic system with subcritical Hopf bifurcation behaviors are studied. These noises include (1) pressure-coupled (acoustic), (2) velocity-coupled (flow), and (3) external combustion noise. It is found that these three types of background noises play important, but different roles in changing the hysteresis width and stability boundary. In addition, the stochastic transition from stability to instability is investigated, as the noise intensity is varied. Two different stochastic P-bifurcations are identified. One is related to a craterlike probability density distribution. The other is associated with a probability density distribution characterized with two peaks and one trough. With each type of noise affecting the system's stochastic behaviors being evaluated, the effect of two different types of noises is then studied. It is shown that the combined noises (types 1 and 2) cannot only destabilize global stable thermoacoustic system, but also stabilize linearly unstable system. This depends strongly on the superimposition form of the two types of noises. In addition, when the thermoacoustic system is disturbed by the combined noise (types 3 and 1 or types 3 and 2), the transition process is dominated by the combustion noise.
ISSN: 0001-4966
Rights: © 2018 Acoustical Society of America. This paper was published in The Journal of the Acoustical Society of America and is made available as an electronic reprint (preprint) with permission of Acoustical Society of America. The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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