On the stability of planar premixed flames under non adiabatic conditions and preferential diffusion

[+] Author and Article Information
Eman Al-Sarairah

Department of Mathematics Al-Hussein Bin Talal University Ma’an, Jordan

Bilal Al-Hasanat

Department of Mathematics Al-Hussein Bin Talal University Ma’an, Jordan

Ahmed Amine Hachicha

Sustainable and Renewable Energy Engineering Department University of Sharjah Sharjah, United Arab Emirates

1Corresponding author.

ASME doi:10.1115/1.4035938 History: Received May 30, 2016; Revised October 23, 2016


In this paper, we provide a numerical study of the stability analysis of a planar premixed flame. The interaction of pref- erential diffusion and heat loss for a planar premixed flame is investigated using a thermal diffusive (constant density) model. The flame is studied as a function of three non- dimensional parameters namely, Damko ̈ hler number (ratio of diffusion time to chemical time), Lewis number (ratio of thermal to species diffusivity) and heat loss. Maximum of four steady state solutions are identified in some cases, two of which are stable. The behavior of the eigenvalues of the system, is also discussed. For low Lewis number the heat loss is playing a major role in stabilizing the flame for some moderately high values of Damk ̈o hler number. The results show the effect of increasing or decreasing Lewis number on adiabatic and non-adiabatic flames temperature and reaction rate as well as the range of heat loss at which flames can survive.

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