The initial development of a tulip flame

Moshe Matalon, Jennifer L. McGreevy

Research output: Contribution to journalArticle

Abstract

The initial development of a "tulip flame," often observed during flame propagation in closed tubes, isattributed to a combustion instability. The roles of hydrodynamic and of the diffusional-thermal processes on the onset of instability are investigated through a linear stability analysis in which the growth or decay of small disturbances, superimposed on an otherwise smooth and planar flame front, are followed. A range of the Markstein parameter, related to the mixture composition through an appropriately defined Lewis number, has been identified where a tulip flame could be observed. For a given value of the Markstein parameter within this range, a critical wavelength is identified as the most unstable mode. This wavelength is directly related to the minimal aspect ratio of the tube where a tulip flame could be observed. The time of onset of instability is identified as the time when the most unstable disturbance, associated with the critical wavelength, grows at a faster rate than the flame front itself and exceeds a certain threshold. This occurs after the flame has propagated a certain distance down the tube: a value which has been explicitly determined in terms of the relevant parameters. Experimental records on the tulip flame phenomenon support the findings of the analysis. That is, the tulip flame forms after the flame has traveled half the tube's length, it does not form in short tubes, and its formation depends on the mixture composition and on the initial pressure in the tube.

Original languageEnglish (US)
Pages (from-to)1407-1413
Number of pages7
JournalSymposium (International) on Combustion
Volume25
Issue number1
DOIs
StatePublished - 1994
Externally publishedYes

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flames
Wavelength
tubes
flame propagation
Linear stability analysis
Chemical analysis
Aspect ratio
Hydrodynamics
disturbances
wavelengths
combustion stability
Lewis numbers
aspect ratio
hydrodynamics
thresholds
decay
Hot Temperature

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Fuel Technology
  • Energy Engineering and Power Technology
  • Mechanical Engineering
  • Physical and Theoretical Chemistry
  • Fluid Flow and Transfer Processes

Cite this

The initial development of a tulip flame. / Matalon, Moshe; McGreevy, Jennifer L.

In: Symposium (International) on Combustion, Vol. 25, No. 1, 1994, p. 1407-1413.

Research output: Contribution to journalArticle

Matalon, Moshe ; McGreevy, Jennifer L. / The initial development of a tulip flame. In: Symposium (International) on Combustion. 1994 ; Vol. 25, No. 1. pp. 1407-1413.
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