IJPAM: Volume 75, No. 4 (2012)

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

Bakai I. Olajuwon$^1$, Amos O. Popoola$^2$
$^1$Department of Mathematics
University of Agriculture
Abeokuta, NIGERIA
$^2$Department of Mathematical and Physical Sciences
Osun State University
Osogbo, NIGERIA


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.

Received: March 25, 2011

AMS Subject Classification:

Key Words and Phrases: stability, reaction order, temperature broadening exponent, sealed container

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 75
Issue: 4