Math. Model. Nat. Phenom.
Volume 5, Number 5, 2010Reaction-diffusion waves
|Page(s)||36 - 45|
|Published online||27 July 2010|
Oscillatory Propagation of a Rich Premixed Spray Flame
Sackler Faculty of Exact Sciences, School of Mathematical Sciences Tel
Aviv University, Tel
2 Faculty of Aerospace Engineering Technion – Israel Institute of Technology, Haifa, 32000, Israel
* Corresponding author. E-mail:
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.
Mathematics Subject Classification: 80A25 / 80A32
Key words: spray flame / oscillatory combustion
© EDP Sciences, 2010
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