Extinction Threshold in Random Heterogeneous Condensed Mixtures with an Extremely Small Amount of a Combustible View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2003-03

AUTHORS

O. S. Rabinovich, P. S. Grinchuk

ABSTRACT

A mathematical model describing the process of combustion of heterogeneous condensed mixtures with account for the randomness of the distribution of combustible particles over the system is proposed. The step dependence of the reaction rate on the temperature is used as a model of chemical kinetics. The case where the concentration of the particles is extremely low but the heat energy released in their combustion is high has been investigated. It is shown that for an adiabatic system there exists a concentration limit of combustion. The relation of this combustion limit to the geometric phase transition occurring in a heterogeneous condensed mixture with rare combustion inclusions has been demonstrated. An analytical approach to the evaluation of the threshold concentration of the combustible in such systems, based on the continual theory of percolation, is proposed. More... »

PAGES

325-334

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/a:1023653201567

DOI

http://dx.doi.org/10.1023/a:1023653201567

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1040702962


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