Oscillatory Propagation of a Rich Premixed Spray Flame

L.S. Kagan; J.B. Greenberg; G.I. Sivashinsky

Mathematical Modelling of Natural Phenomena (2010)

  • Volume: 5, Issue: 5, page 36-45
  • ISSN: 0973-5348

Abstract

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Experimental evidence points to a rich variety of physical scenarios that arise when a laminar flame propagates through a pre-mixture of evaporating liquid fuel and a gaseous oxidant. In this paper new results of time-dependent numerical simulations of rich off-stoichiometric spray flame propagation in a two-dimensional channel are presented. A constant density model is adopted, thereby eliminating the Darrieus-Landau instability. It is demonstrated that there exists a narrow band of vaporization Damkohler numbers (the ratio of a characteristic flow time to a characteristic evaporation time) for which the flame propagation is oscillatory. For values outside this range steady state propagation is attained but with a curved (cellular) flame front. The critical range for the non-steady propagation is also found to be a function of the Lewis number of the deficient reactant.

How to cite

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Kagan, L.S., Greenberg, J.B., and Sivashinsky, G.I.. "Oscillatory Propagation of a Rich Premixed Spray Flame." Mathematical Modelling of Natural Phenomena 5.5 (2010): 36-45. <http://eudml.org/doc/197672>.

@article{Kagan2010,
abstract = {Experimental evidence points to a rich variety of physical scenarios that arise when a laminar flame propagates through a pre-mixture of evaporating liquid fuel and a gaseous oxidant. In this paper new results of time-dependent numerical simulations of rich off-stoichiometric spray flame propagation in a two-dimensional channel are presented. A constant density model is adopted, thereby eliminating the Darrieus-Landau instability. It is demonstrated that there exists a narrow band of vaporization Damkohler numbers (the ratio of a characteristic flow time to a characteristic evaporation time) for which the flame propagation is oscillatory. For values outside this range steady state propagation is attained but with a curved (cellular) flame front. The critical range for the non-steady propagation is also found to be a function of the Lewis number of the deficient reactant.},
author = {Kagan, L.S., Greenberg, J.B., Sivashinsky, G.I.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {spray flame; oscillatory combustion},
language = {eng},
month = {7},
number = {5},
pages = {36-45},
publisher = {EDP Sciences},
title = {Oscillatory Propagation of a Rich Premixed Spray Flame},
url = {http://eudml.org/doc/197672},
volume = {5},
year = {2010},
}

TY - JOUR
AU - Kagan, L.S.
AU - Greenberg, J.B.
AU - Sivashinsky, G.I.
TI - Oscillatory Propagation of a Rich Premixed Spray Flame
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/7//
PB - EDP Sciences
VL - 5
IS - 5
SP - 36
EP - 45
AB - Experimental evidence points to a rich variety of physical scenarios that arise when a laminar flame propagates through a pre-mixture of evaporating liquid fuel and a gaseous oxidant. In this paper new results of time-dependent numerical simulations of rich off-stoichiometric spray flame propagation in a two-dimensional channel are presented. A constant density model is adopted, thereby eliminating the Darrieus-Landau instability. It is demonstrated that there exists a narrow band of vaporization Damkohler numbers (the ratio of a characteristic flow time to a characteristic evaporation time) for which the flame propagation is oscillatory. For values outside this range steady state propagation is attained but with a curved (cellular) flame front. The critical range for the non-steady propagation is also found to be a function of the Lewis number of the deficient reactant.
LA - eng
KW - spray flame; oscillatory combustion
UR - http://eudml.org/doc/197672
ER -

References

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  9. J.B. Greenberg, L.S. Kagan, G.I. Sivashinsky. Stability of rich premixed spray flames. Atomization and Sprays, 19 (2009), No. 9, 863-872. 
  10. J.B. Greenberg, A.C. McIntosh. J. Brindley. Linear stability analysis of laminar premixed spray flames. Proc. R. Soc. Lond. A, 457 (2001), 1–31. Zbl1002.80016
  11. J.B. Greenberg. Stability boundaries of laminar premixed polydisperse spray flames. Atomization and Sprays, 12 (2002), 123–143. 
  12. C. Nicoli, P. Haldenwang, S. Suard. Analysis of pulsating spray flames propagating in lean two-phase mixtures with unity Lewis number. Combust. Flame, 143 (2005), 299–312. 
  13. C. Nicoli, P. Haldenwang, S. Suard. Effects of substituting fuel spray for fuel gas on flame stability in lean premixtures. Combust. Flame, 149 (2007), 295–313. 
  14. J.B. Greenberg, I. Silverman, Y. Tambour. On the origins of spray sectional conservation equations. Combust. Flame, 93 (1993), 90–96. 
  15. L. Kagan, G. Sivashinsky. Flame propagation and extinction in large-scale vertical flows. Combust. Flame, 120 (2000), 222–232. 
  16. L. Kagan, G. Sivashinsky. Self-fragmentation of nonadiabatic cellular flames. Combust. Flame108 (1997), 220–226. 
  17. L.S. Kagan, J.B. Greenberg, G.I. Sivashinsky, Propagation of lean premixed spray flames. Presented at the 4 European Combustion Meeting, Vienna, Austria, April, 2009.  

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