Flickering candle flames and their collective behavior

Abstract

Oscillation and collective behavior of diffusion flames is a fascinating phenomena. Considering candle bundles with different sizes in variable oxygen concentration, the flickering dynamics of the flames are experimentally and theoretically investigated. Trends for the flickering frequency as a function of the candle number in the bundle and oxygen concentration is revealed for various topologies of the candles packing. The collective behavior of the flames as a function of their separation distance is studied by measuring an appropriate synchronization order parameter and trough the common oscillation frequency. In agreement with previous results we find a discontinuous phase transition between an in-phase synchronized state at small separation distance and a counter-phase synchronized state at larger separation distances. A previously used dynamical model is modified in order to accommodate our experimental findings.

arXiv comment13 pages, 11 Figures

References in corpus (4)

• Arrays of coupled chemical oscillators
• Vortex-dynamical Interpretation of Anti-phase and In-phase Flickering of Dual Buoyant Diffusion Flames
• Flickering candle flames and their collective behavior
• The rhythm of coupled metronomes

Cited by in corpus (7)

• Flickering candle flames and their collective behavior
• Dynamical Mode Recognition of Triple Flickering Buoyant Diffusion Flames: from Physical Space to Phase Space and to Wasserstein Space
• Vortex Interaction in Triple Flickering Buoyant Diffusion Flames
• Computational Identification and Stuart-Landau Modeling of Collective Dynamical Behaviors of Octuple Laminar Diffusion Flame Oscillators
• Oscillation and collective behavior in convective flows
• Bifurcation structure of the flame oscillation
• A Comprehensive Regime Diagram of Dynamical Modes of Triple Flickering Buoyant Diffusion Flames: Experimental and Model Investigations