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The emergence of collective dynamical behaviors in a complex system hasdistinct properties that its individuals do not have on their own. In thestudy, a series of circular arrays of octuple flickering laminar buoyantdiffusion flames were computationally investigated to understand theircollective behaviors. Five distinct dynamical modes, such as the merged,in-phase mode, rotation, flickering death, partially flickering death, andanti-phase modes, were identified and interpreted from the perspective ofvortex dynamics. All the modes were found to be controlled by the threedimensionless parameters, namely the normalized flame frequency f/f_0, theratio of the flame separation distance to the flame diameter, and the Grashofnumber Gr. A unified regime diagram was obtained in terms of f/f_0 and of acombined Reynolds-number-like parameter. In addition, the bifurcationtransition from the in-phase mode and the anti-phase mode to the totally orpartially flickering death occurs at 620+-50.

Computational Investigation on Collective Dynamical Behaviors of Flickering Laminar Buoyant Diffusion Flames in Circular Arrays