TY - JOUR
T1 - Computational identification and Stuart-Landau modeling of collective dynamical behaviors of octuple laminar diffusion flame oscillators
AU - Yang, Tao
AU - Ma, Yuan
AU - Zhang, Peng
PY - 2025/5
Y1 - 2025/5
N2 - Annular combustion chambers, consisting of multiple flame nozzles, are commonly used in gas turbine engines, particularly in aircraft engines and industrial power generation systems. In the study, we proposed a novel approach to the problem of annular combustion with emphasis on the collective dynamical behaviours that its individuals do not have. A series of circular arrays of octuple flickering laminar buoyant diffusion flames were investigated computationally and theoretically. Five distinct dynamical modes, such as the merged, in-phase, rotation, flickering death, partially flickering death, and anti-phase modes, were computationally identified and interpreted from the perspective of vortex dynamics. These modes were classified into three regimes. A unified regime diagram was obtained in terms of the normalized flame frequency ƒ/ƒ0 and the combined parameter (α − 1)Gr1/2, where α = l/D is the ratio of the flame separation distance l to the flame nozzle size D and Gr is the Grashof number. The bifurcation transition between the in-phase and anti-phase regimes occurs at (α − 1)Gr1/2 = 655 ± 55, where flames present the totally or partially flickering death. In addition, a Stuart-Landau model with a nearest neighbor time-delay coupling was utilized to reproduce the general features and collective modes of the octuple oscillator flame systems. © 2025 The Combustion Institute. Published by Elsevier Inc.
AB - Annular combustion chambers, consisting of multiple flame nozzles, are commonly used in gas turbine engines, particularly in aircraft engines and industrial power generation systems. In the study, we proposed a novel approach to the problem of annular combustion with emphasis on the collective dynamical behaviours that its individuals do not have. A series of circular arrays of octuple flickering laminar buoyant diffusion flames were investigated computationally and theoretically. Five distinct dynamical modes, such as the merged, in-phase, rotation, flickering death, partially flickering death, and anti-phase modes, were computationally identified and interpreted from the perspective of vortex dynamics. These modes were classified into three regimes. A unified regime diagram was obtained in terms of the normalized flame frequency ƒ/ƒ0 and the combined parameter (α − 1)Gr1/2, where α = l/D is the ratio of the flame separation distance l to the flame nozzle size D and Gr is the Grashof number. The bifurcation transition between the in-phase and anti-phase regimes occurs at (α − 1)Gr1/2 = 655 ± 55, where flames present the totally or partially flickering death. In addition, a Stuart-Landau model with a nearest neighbor time-delay coupling was utilized to reproduce the general features and collective modes of the octuple oscillator flame systems. © 2025 The Combustion Institute. Published by Elsevier Inc.
KW - Circular array
KW - Collective behavior
KW - Flickering flame
KW - Stuart-Landau model
KW - Vortex dynamics
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85218859919&origin=recordpage
U2 - 10.1016/j.combustflame.2025.114090
DO - 10.1016/j.combustflame.2025.114090
M3 - RGC 21 - Publication in refereed journal
SN - 0010-2180
VL - 275
JO - Combustion and Flame
JF - Combustion and Flame
M1 - 114090
ER -