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题名

Fokker-Planck modeling of the stochastic dynamics of a Rijke tube

作者
通讯作者Li, Larry K. B.
发表日期
2024-08-01
DOI
发表期刊
ISSN
1054-1500
EISSN
1089-7682
卷号34期号:8
摘要
We derive and numerically validate a low-order oscillator model to capture the stochastic dynamics of a prototypical thermoacoustic system (a Rijke tube) undergoing a subcritical Hopf bifurcation in the presence of additive noise. We find that on the fixed-point branch before the bifurcation, the system is dominated by the first duct mode, and the Fokker-Planck solution for the first Galerkin mode can adequately predict the stochastic dynamics of the overall system. We also find that this analytical framework predicts well the dominant mode on the limit-cycle branch, but underperforms in the hysteretic bistable zone where the role of nonlinearities is more pronounced. Besides offering new insights into stochastic thermoacoustic behavior, this study shows that an analytical framework based on the Fokker-Planck equation can facilitate the early detection of thermoacoustic instabilities in a Rijke-tube model subjected to noise.
相关链接[来源记录]
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语种
英语
学校署名
其他
资助项目
Research Grants Council of Hong Kong["16200220","16215521"]
WOS研究方向
Mathematics ; Physics
WOS类目
Mathematics, Applied ; Physics, Mathematical
WOS记录号
WOS:001293737200004
出版者
ESI学科分类
PHYSICS
来源库
Web of Science
引用统计
成果类型期刊论文
条目标识符http://sustech.caswiz.com/handle/2SGJ60CL/804658
专题工学院_力学与航空航天工程系
南方科技大学
作者单位
1.Hanbat Natl Univ, Dept Mech Engn, Daejeon 34158, South Korea
2.Hong Kong Univ Sci & Technol, Dept Mech & Aerosp Engn, Clear Water Bay, Hong Kong, Peoples R China
3.Southern Univ Sci & Technol, Guangdong Hong Kong Macao Joint Lab Data Driven Fl, Shenzhen 518055, Peoples R China
4.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China
5.Hong Kong Univ Sci & Technol, Guangdong Hong Kong Macao Joint Lab Data Driven Fl, Clear Water Bay, Hong Kong, Peoples R China
推荐引用方式
GB/T 7714
Lee, Minwoo,Gupta, Vikrant,Li, Larry K. B.. Fokker-Planck modeling of the stochastic dynamics of a Rijke tube[J]. CHAOS,2024,34(8).
APA
Lee, Minwoo,Gupta, Vikrant,&Li, Larry K. B..(2024).Fokker-Planck modeling of the stochastic dynamics of a Rijke tube.CHAOS,34(8).
MLA
Lee, Minwoo,et al."Fokker-Planck modeling of the stochastic dynamics of a Rijke tube".CHAOS 34.8(2024).
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