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Oscillatory Propagation of a Rich Premixed SprayFlame

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 alaminar flame propagates through a pre-mixture of evaporating liquid fuel and a gaseousoxidant. In this paper new results of time-dependent numerical simulations of richoff-stoichiometric spray flame propagation in a two-dimensional channel are presented. Aconstant density model is adopted, thereby eliminating the Darrieus-Landau instability. Itis demonstrated that there exists a narrow band of vaporization Damkohler numbers (theratio of a characteristic flow time to a characteristic evaporation time) for which theflame propagation is oscillatory. For values outside this range steady state propagationis attained but with a curved (cellular) flame front. The critical range for thenon-steady propagation is also found to be a function of the Lewis number of the deficientreactant.

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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