Geodesic
Oscillatory Propagation of a Rich Premixed Spray Flame
L.S. Kagan1 ; J.B. Greenberg2 ; G.I. Sivashinsky3
1 Sackler Faculty of Exact Sciences, School of Mathematical Sciences Tel Aviv University, Tel Aviv 69978, Israel
2 Faculty of Aerospace Engineering Technion – Israel Institute of Technology, Haifa, 32000, Israel
3
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 5, pp. 36-45

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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.
DOI : 10.1051/mmnp/20105503

L.S. Kagan 1 ; J.B. Greenberg 2 ; G.I. Sivashinsky 3

1 Sackler Faculty of Exact Sciences, School of Mathematical Sciences Tel Aviv University, Tel Aviv 69978, Israel
2 Faculty of Aerospace Engineering Technion – Israel Institute of Technology, Haifa, 32000, Israel
3 
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L.S. Kagan; J.B. Greenberg; G.I. Sivashinsky. Oscillatory Propagation of a Rich Premixed Spray Flame. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 5, pp. 36-45. doi: 10.1051/mmnp/20105503

[1] C.E. Polymeropoulos Flame propagation in a one-dimensional liquid fuel spray Combust. Sci. Technol. 1974 197 207

[2] C.E. Polymeropoulos, S. Das The effect of droplet size on the burning velocity of a kerosene-air spray Combust. Flame 1975 247 257

[3] Y. Mizutani, A. Nakajima Combustion of fuel vapor-drop-air systems: Part I - open burner flames Combust. Flame 1973 343 350

[4] Y. Mizutani, A. Nakajima Combustion of fuel vapor-drop-air systems: Part II - spherical flames in a vessel Combust. Flame 1973 351 357

[5] S. Hayashi, S. Kumagai Flame propagation in droplet-vapor-air mixtures Fifteenth Symposium (International) on Combustion, The Combustion Institute, Pittsburgh, Penn. 1974 445 452

[6] S. Hayashi, S. Kumagai, T. Sakai Propagation velocity and structure of flames in droplet-vapor-air mixtures Combust. Sci. Technol. 1976 169 177

[7] D.R. Ballal, A.H. Lefebvre 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

[8] F. Atzler. Fundamental studies of aerosol combustion. Ph.D. Thesis, School of Mechanical Engineering, University of Leeds, Leeds, U.K., 1999.

[9] J.B. Greenberg, L.S. Kagan, G.I. Sivashinsky Stability of rich premixed spray flames Atomization and Sprays 2009 863 872

[10] J.B. Greenberg, A.C. Mcintosh, J. Brindley Linear stability analysis of laminar premixed spray flames Proc. R. Soc. Lond. A 2001 1 31

[11] J.B. Greenberg Stability boundaries of laminar premixed polydisperse spray flames Atomization and Sprays 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 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 2007 295 313

[14] J.B. Greenberg, I. Silverman, Y. Tambour On the origins of spray sectional conservation equations Combust. Flame 1993 90 96

[15] L. Kagan, G. Sivashinsky Flame propagation and extinction in large-scale vertical flows Combust. Flame 2000 222 232

[16] L. Kagan, G. Sivashinsky Self-fragmentation of nonadiabatic cellular flames Combust. Flame 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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