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Research Journal of Applied Sciences

ISSN: Online 1993-6079
ISSN: Print 1815-932x
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On the Effect of Reaction Order on Stability of Two-Variable Model for Combustion in Sealed Container

A.O. Popoola and R.O. Ayeni
Page: 908-912 | Received 21 Sep 2022, Published online: 21 Sep 2022

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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.


How to cite this article:

A.O. Popoola and R.O. Ayeni . On the Effect of Reaction Order on Stability of Two-Variable Model for Combustion in Sealed Container.
DOI: https://doi.org/10.36478/rjasci.2007.908.912
URL: https://www.makhillpublications.co/view-article/1815-932x/rjasci.2007.908.912