Chaotic fluctuations of soot particles in turbulent diffusion flames: Experimental data and logistic map models

M. P. Mengüç*, J. M. McDonough, S. Manickavasagam, S. Mukerji, S. Swabb, S. Ghosal

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we discuss an experimental and theoretical methodology to characterize soot volume fraction fluctuations in turbulent diffusion flames. The approach is based on the hypothesis that the fluctuations of properties in turbulent flames are deterministic in nature, rather than statistical. Experiments are conducted to measure the scattered light signals from fluctuating soot particles along the axis of an ethylene-air diffusion flame. Using these time series data, the corresponding power spectra and delay maps are determined. The results indicate a period doubling sequence, suggesting a route to chaos. The psds from experiments are modeled using a series of logistic maps. These logistic maps can be used in simulation of the fluctuations in these type of flames, without extensive computational effort or sacrifice of physical detail. Availability of accurate models of these kinds allows investigation of radiation-turbulence interactions at a more fundamental level than previously possible.

Original languageEnglish (US)
Pages (from-to)271-280
Number of pages10
JournalAmerican Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
Volume335
StatePublished - Dec 1 1996

ASJC Scopus subject areas

  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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