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research-article

The combined effect of heat loss and reversibility on the propagation of planar premixed counterflow flames

[+] Author and Article Information
Faisal Al-Malki

Department of Mathematics and Statistics, Taif University, Saudi Arabia
falmalki@tu.edu.sa

1Corresponding author.

ASME doi:10.1115/1.4040657 History: Received March 23, 2018; Revised May 29, 2018

Abstract

We study in this paper the combined effect of heat loss and reversibility on the propagation of planar flames formed within the counterflow configura- tion. The problem has been formulated first using the thermo-diffusive model with constant density and then solved numerically using finite elements. The impact of four main parameters, namely the reversibility r, the heat loss ?, the strain rate ? and the activation energy ß, on the propagation of planar flames has been discussed in details. The study has shown that planar flames under reversible conditions behave qualitatively similar to those observed for irreversible reactions, which agree with the asymptotic findings. In the pres- ence of heat loss, the problem exhibits multiplicity of solutions whose number and stability were found to vary according to the strain rate ?. In addition, the study has predicted the existence of a certain value of the reversibility pa- rameter r beyond which the impact of reversibility becomes negligible. Finally, we have examine the stability of the solutions and determined the domain of stability of solutions and their multiplicity for this problem.

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