Critical Reaction Conditions for Materials with Distributed Reactivity. The Semenov Model
I. G. Donskoy
Melentiev Energy Systems Institute, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
Keywords: thermal explosion, reactivity distribution, DAEM, mathematical modeling
Abstract
The reaction of a material with a Gaussian reactivity distribution undergoing exothermic decomposition is considered. Using a number of approximations, critical conditions for simple heat transfer between the reacting system and the environment can be obtained. The approximate formula reduces to the classical condition for a small reactivity variance. The results of numerical modeling of the burnout dynamics of materials with distributed reactivity are presented.
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