Oscillatory Propagation of a Rich Premixed Spray Flame

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

^* Corresponding author. E-mail: grishas@post.tau.ac.il

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.