Effect of Noise on a Model Thermoacoustic System at its Stability Boundary

Steinert, Richard

doi:10.1007/978-3-658-13823-3

Cited by 1 publication

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“…x f denotes the nondimensional axial location of the heat source from the upstream open end, which is normalized by the total length L. Here it is assumed that the unsteady pressure oscillation is dominated by a single mode. This assumption is widely applied in previous experimental and theoretical investigations, 23…”

Section: The Nonlinear Thermoacoustic Modelmentioning

confidence: 99%

“…Such shape of PDF has already been observed in the experimental measurements. 11,23 Further increasing the noise intensity (see point P 3 ) leads to the thermoacoustic system being "locked" in a large-amplitude limit cycle, and the peak at the local small amplitude disappears. Now the amplitude distribution becomes unimodal again.…”

Section: A Effect Of Each Type Of Background Noisesmentioning

confidence: 99%

“…It was found that increased noise can lead to a decrease in the hysteresis region. Steinert 23 experimentally investigated the effects of external noises on a combustor's response. Both the transition process of stochastic P-bifurcation and noise-induced coherence resonance were experimentally observed.…”

Section: Introductionmentioning

confidence: 99%

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Effects of background noises on nonlinear dynamics of a modelled thermoacoustic combustor

Zhao

2018

The Journal of the Acoustical Society of America

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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.

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Section: The Nonlinear Thermoacoustic Modelmentioning

confidence: 99%

Section: A Effect Of Each Type Of Background Noisesmentioning

confidence: 99%