IJPAM: Volume 75, No. 4 (2012)
FOR COMBUSTION IN SEALED CONTAINER



University of Agriculture
Abeokuta, NIGERIA

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
Download paper from here.
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