Authors : A.O. Popoola and R.O. Ayeni
Abstract: We study a two-step Arrhenius reaction in the multiple-step reaction that occurs during decomposition and combustion processes of a precursor chemical reagent. In order to enhance safety during manufacturing, storage and handling of the energetic materials, we revisit and analyze the equilibrium, stability and Hopf�s bifurcation of the two-variable model for combustion in sealed containers and investigate the effect of reaction order on stability of the equilibrium solution. The numerical result of Hopf�s bifurcation condition shows that the region of instability increases as the reaction order increases.
A.O. Popoola and R.O. Ayeni , 2007. On the Effect of Reaction Order on Stability of Two-Variable Model for Combustion in Sealed Container. Research Journal of Applied Sciences, 2: 908-912.