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spray flame

Mathematical Modelling of Natural Phenomena (1)

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Oscillatory Propagation of a Rich Premixed SprayFlame
L.S. Kagan, J.B. Greenberg, G.I. Sivashinsky
Journal:

Mathematical Modelling of Natural Phenomena / Volume 5 / Issue 5 / 2010

Published online by Cambridge University Press:

27 July 2010, pp. 36-45

Print publication:

2010
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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.