TY - JOUR
T1 - Reduced-order modelling of thermoacoustic instabilities in a two-heater Rijke tube
AU - Bhattacharya, Chandrachur
AU - Mondal, Sudeepta
AU - Ray, Asok
AU - Mukhopadhyay, Achintya
N1 - Funding Information:
The work reported here has been supported in part by the U.S. Air Force Office of Scientific Research (AFOSR) [grant numbers FA9550-15-1-0400 and FA9550-18-1-0135] in the area of dynamic data-driven application systems (DDDAS). The authors also thank Indo-US Science and Technology Forum (IUSSTF) for granting the Research Internship for Science and Engineering (RISE) scholarship to the first author for collaboration between Pennsylvania State University and Jadavpur University.
PY - 2020/5/3
Y1 - 2020/5/3
N2 - The topic of thermoacoustic instabilities in combustors is well-investigated, as it is important in the field of combustion, primarily in gas-turbine engines. In recent years, much attention has been focused on monitoring, diagnosis, prognosis, and control of high-amplitude pressure oscillations in confined combustion chambers. The Rijke tube is one of the most simple, yet very commonly used, laboratory apparatuses for emulation of thermoacoustic instabilities, which is also capable of capturing the physics of the thermally driven acoustics. A Rijke tube apparatus can be constructed with an electrical heater acting as the heat source, thus making it more flexible to operate and safer to handle than a fuel-burning Rijke tube or a fuel-fired combustor. Augmentation of the heat source of the Rijke tube with a secondary heater at a downstream location facilitates better control of thermoacoustic instabilities. Along this line, much work has been reported on the investigation of thermoacoustics by using computational fluid dynamics (CFD) modelling as well as reduced-order modelling for both single-heater and two-heater Rijke tube systems. However, since reduced-order models are often designed and built upon certain empirical relations, they may not account for the dynamic behaviour of the heater itself, which is a critical factor in the analysis and synthesis of real-time robust control systems. This issue is addressed in the current paper, where modifications have been made to existing models by incorporating heater dynamics. The model results are systematically validated with experimental data, generated from an in-house (electrically heated) Rijke tube apparatus.
AB - The topic of thermoacoustic instabilities in combustors is well-investigated, as it is important in the field of combustion, primarily in gas-turbine engines. In recent years, much attention has been focused on monitoring, diagnosis, prognosis, and control of high-amplitude pressure oscillations in confined combustion chambers. The Rijke tube is one of the most simple, yet very commonly used, laboratory apparatuses for emulation of thermoacoustic instabilities, which is also capable of capturing the physics of the thermally driven acoustics. A Rijke tube apparatus can be constructed with an electrical heater acting as the heat source, thus making it more flexible to operate and safer to handle than a fuel-burning Rijke tube or a fuel-fired combustor. Augmentation of the heat source of the Rijke tube with a secondary heater at a downstream location facilitates better control of thermoacoustic instabilities. Along this line, much work has been reported on the investigation of thermoacoustics by using computational fluid dynamics (CFD) modelling as well as reduced-order modelling for both single-heater and two-heater Rijke tube systems. However, since reduced-order models are often designed and built upon certain empirical relations, they may not account for the dynamic behaviour of the heater itself, which is a critical factor in the analysis and synthesis of real-time robust control systems. This issue is addressed in the current paper, where modifications have been made to existing models by incorporating heater dynamics. The model results are systematically validated with experimental data, generated from an in-house (electrically heated) Rijke tube apparatus.
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U2 - 10.1080/13647830.2020.1714080
DO - 10.1080/13647830.2020.1714080
M3 - Article
AN - SCOPUS:85078588585
VL - 24
SP - 530
EP - 548
JO - Combustion Theory and Modelling
JF - Combustion Theory and Modelling
SN - 1364-7830
IS - 3
ER -