Low-order modeling of collective dynamics of four ring-coupled turbulent thermoacoustic oscillators

We investigate the low-order modeling of collective dynamics in a can-annular combustor consisting of four ring-coupled turbulent lean-premixed combustors. Each combustor is treated as an individual thermoacoustic oscillator, and the entire combustion system is modeled using four Van der Pol oscilla...

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Bibliographic Details
Published inNonlinear dynamics Vol. 112; no. 9; pp. 6897 - 6917
Main Authors Liao, Yu, Guan, Yu, Liu, Peijin, Moon, Kihun, Kim, Kyu Tae
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.05.2024
Springer Nature B.V
Subjects
Automotive Engineering
Classical Mechanics
Combustion chambers
Control
Coupling
Dynamical Systems
Dynamics
Engineering
Equivalence ratio
Feasibility studies
Frequency shift
Mechanical Engineering
Modelling
Original Paper
Oscillators
Parameter identification
Synchronism
Thermoacoustics
Turbulent combustion
Vibration
Collective dynamics
Low-order model
Can-annular combustor
Thermoacoustic instability
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Summary:We investigate the low-order modeling of collective dynamics in a can-annular combustor consisting of four ring-coupled turbulent lean-premixed combustors. Each combustor is treated as an individual thermoacoustic oscillator, and the entire combustion system is modeled using four Van der Pol oscillators ring-coupled with dissipative, time-delay, and reactive coupling terms. We show that this model, despite its simplicity, can reproduce many collective dynamics observed in experiments under various combinations of equivalence ratios and combustor lengths, such as 2-can anti-phase synchronization, alternating anti-phase synchronization, pairwise anti-phase synchronization, spinning azimuthal mode, and 4 steady thermoacoustic oscillators. The phase relationship in the majority of cases can be quantitatively modeled. Moreover, by incorporating a reactive coupling term, the model is able to reproduce the frequency shift observed experimentally. This study demonstrates the feasibility of using a simple low-order model to reproduce collective dynamics in complex turbulent combustion systems. This suggests that this model could be used (i) to facilitate the interpretation of experimental data within the synchronization framework, (ii) to identify potential parameter regimes leading to amplitude death, and (iii) to serve as a basis for modeling the collective dynamics observed in more complicated multi-combustors.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-024-09426-w