STABILITY ANALYSIS OF TWO -VARIABLE MODEL FOR COMBUSTION IN SEALED CONTAINER

Olajuwon, B.I. and Popoola, A.O. and Gbadamosi, Babatunde and Adebimpe, O. and Akinola, E.I. and Olapade, I.A. (2012) STABILITY ANALYSIS OF TWO -VARIABLE MODEL FOR COMBUSTION IN SEALED CONTAINER. International Journal of Pure and Applied Mathematics, 75 (4). pp. 403-411. ISSN 1311-8080

[img] Text
2.pdf - Published Version
Download (110kB)
Official URL: http://www.ijpam.eu

Abstract

The paper studies a model for combustion of self heating chemicals which are in drums inside a sealed shipping container. The stability of interacting drums of chemicals is a problem of great importance for the safety of manufacturers, users and handlers of the energetic material. Since the rate of reaction varies rapidly with temperature, the paper objectively examines the role of temperature on stability of the energetic materials and specifically investigates the effect of temperature broadening exponent called numerical exponent on its stability. The criteria for which stable focus, unstable focus and Hopf’s bifurcation may occur in the new model are established. Of major interest is a criterion on the numerical exponent for which maximum ambient temperature could be attained. Key Words: stability, reaction order, temperature broadening exponent, sealed container

Item Type: Article
Subjects: Q Science > QA Mathematics
Depositing User: Mr DIGITAL CONTENT CREATOR LMU
Date Deposited: 02 Oct 2019 14:11
Last Modified: 02 Oct 2019 14:11
URI: https://eprints.lmu.edu.ng/id/eprint/2477

Actions (login required)

View Item View Item
Landmark University Repository is powered by EPrints 3 which is developed by the School of Electronics and Computer Science at the University of Southampton. More information and software credits.