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Oscillatory Propagation of a Rich Premixed Spray Flame

Published online by Cambridge University Press:  27 July 2010

L.S. Kagan ,
J.B. Greenberg  and
G.I. Sivashinsky
L.S. Kagan
Affiliation:
Sackler Faculty of Exact Sciences, School of Mathematical Sciences Tel Aviv University, Tel Aviv 69978, Israel
J.B. Greenberg
Affiliation:
Faculty of Aerospace Engineering Technion – Israel Institute of Technology, Haifa, 32000, Israel
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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.

Keywords

spray flameoscillatory combustion
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 5: Reaction-diffusion waves , 2010 , pp. 36 - 45
Copyright
© EDP Sciences, 2010

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References

Polymeropoulos, C.E.. Flame propagation in a one-dimensional liquid fuel spray. Combust. Sci. Technol., 9 (1974), 197–207.CrossRefGoogle Scholar
Polymeropoulos, C.E., Das, S.. The effect of droplet size on the burning velocity of a kerosene-air spray. Combust. Flame, 25 (1975), 247–257.CrossRefGoogle Scholar
Mizutani, Y., Nakajima, A.. Combustion of fuel vapor-drop-air systems: Part I - open burner flames. Combust. Flame, 20 (1973), 343–350.CrossRefGoogle Scholar
Mizutani, Y., Nakajima, A.. Combustion of fuel vapor-drop-air systems: Part II - spherical flames in a vessel. Combust. Flame, 20 (1973),351–357. CrossRefGoogle Scholar
Hayashi, S., Kumagai, S.. Flame propagation in droplet-vapor-air mixtures. Fifteenth Symposium (International) on Combustion, The Combustion Institute, Pittsburgh, Penn., (1974), 445–452. Google Scholar
Hayashi, S., Kumagai, S., Sakai, T.. Propagation velocity and structure of flames in droplet-vapor-air mixtures. Combust. Sci. Technol., 15 (1976), 169–177. CrossRefGoogle Scholar
Ballal, D.R., Lefebvre, A.H.. Flame propagation in heterogeneous mixtures of fuel droplets, fuel vapour and air. Eighteenth Symposium (International) on Combustion, The Combustion Institute, Pittsburgh, Penn., (1981), 321–328. CrossRefGoogle Scholar
F. Atzler. Fundamental studies of aerosol combustion. Ph.D. Thesis, School of Mechanical Engineering, University of Leeds, Leeds, U.K., 1999.
Greenberg, J.B., Kagan, L.S., Sivashinsky, G.I.. Stability of rich premixed spray flames. Atomization and Sprays, 19 (2009), No. 9, 863-872.CrossRefGoogle Scholar
Greenberg, J.B., McIntosh, A.C.. Brindley, J.. Linear stability analysis of laminar premixed spray flames. Proc. R. Soc. Lond. A, 457 (2001), 1–31.CrossRefGoogle Scholar
Greenberg, J.B.. Stability boundaries of laminar premixed polydisperse spray flames. Atomization and Sprays, 12 (2002), 123–143.CrossRefGoogle Scholar
Nicoli, C., Haldenwang, P., Suard, S.. Analysis of pulsating spray flames propagating in lean two-phase mixtures with unity Lewis number. Combust. Flame, 143 (2005), 299–312.CrossRefGoogle Scholar
Nicoli, C., Haldenwang, P., Suard, S.. Effects of substituting fuel spray for fuel gas on flame stability in lean premixtures. Combust. Flame, 149 (2007), 295–313.CrossRefGoogle Scholar
Greenberg, J.B., Silverman, I., Tambour, Y.. On the origins of spray sectional conservation equations. Combust. Flame, 93 (1993), 90–96.CrossRefGoogle Scholar
Kagan, L., Sivashinsky, G.. Flame propagation and extinction in large-scale vertical flows. Combust. Flame, 120 (2000), 222–232.CrossRefGoogle Scholar
Kagan, L., Sivashinsky, G.. Self-fragmentation of nonadiabatic cellular flames. Combust. Flame 108 (1997), 220–226.CrossRefGoogle Scholar
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.