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Combustion, Explosion and Shock Waves

2015 year, number 5

On the Flame Shape in Diffusion Combustion of a Liquid Fuel Film on a Substrate

A. A. Korzhavin, I. G. Namyatov
Voevodskii Institute of Chemical Kinetics and Combustion, Siberian Branch, Russian Academy of Sciences, 630090 Novosibirsk, Russia
Keywords: горение, диффузионное пламя, задача Бурке-Шумана, combustion, diffusion flame, Burke-Schumann problem

Abstract

In this paper, we consider the classical Burke-Schumann problem as applied to the construction of a mathematical model of a diffusion flame spreading over a fuel film deposited on a thin substrate. This formulation is used to model the combustion of a gaseous fuel flowing from a thin slot (half-width xin and mixed with oxidizer flowing from a parallel slot (with the outer boundary xout). The key parameters determining the position of the flame front in the space are identified: the Peclet number Pe, the stoichiometric parameter A dependent on the equivalence ratio, and the geometric parameter Xin = xin/xout. The dependences of the flame length on these parameters, including xout → 8, are analyzed. Comparison shows good agreement between calculated and experimental