International Journal of Science and Technology

International Journal of Science and Technology>> Volume 7, Number 9, September 2017

International Journal of Science and Technology

Modelling and Analytical Simulation of the Chemical Kinetics of a Laminar Premixed Flame

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Author R. O. Olayiwola , Ajala, O. A. , A. A. Mohammed , Cole, A. T. and M. D. Shehu
On Pages 125-131
Volume No. 3
Issue No. 2
Issue Date February, 2013
Publishing Date February, 2013
Keywords Chemical kinetics, Combustion, Hydrocarbon fuel, Limiting species, Premixed flame.


In this paper we present a mathematical model of the flame dynamics. We assume that fuel is the limiting species, so that the combustion is lean. Under this assumption, we consider the steady equations describing the flame dynamics in a combustor. We prove the existence and uniqueness of solution by actual solution and examine the properties of solution by transforming the dimensionless equation from infinite domain to finite domain. The equations are solved analytically using asymptotic expansions. The steady-state temperature and concentration distributions profiles are presented and discussed. It is discovered that the Frank-Kamenetskii number plays a crucial role in the flame dynamics and the temperature is increased and species is consumed in the spatial direction.

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