STABILITY ANALYSIS OF TWO -VARIABLE MODEL FOR COMBUSTION IN SEALED CONTAINER
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Date
2012-01-01
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Publisher
International Journal of Pure and Applied Mathematics
Abstract
The paper studies a model for combustion of self heating chem-
icals 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.
Description
Staff Publication
Keywords
Stability,, Reaction order,, Temperature broadening exponent,, Sealed container