Asymptotics of critical conditions in one combustion model-Reference-Cited by-同舟云学术

Asymptotics of critical conditions in one combustion model

Published:2024-07-03 Issue:2 Volume:30 Page:12-19
ISSN:2712-8954
Container-title:Vestnik of Samara University. Natural Science Series
language:
Short-container-title:Vestnik of Samara University. Natural Science Series

Author:

Dolgova E. S.^ORCID

Abstract

The work is devoted to solving the problem of critical conditions for an autocatalytic combustion model, taking into account the consumption of reagent and oxidizer. By use the methods of geometric theory of singular perturbations, the analysis of the mathematical model of this process show that there are two main types of combustion modes: the slow combustion mode and the thermal explosion mode. The critical mode is intermediate between them. In the paper, the condition of the critical regime is obtained in the form of an asymptotic representation of the corresponding value of the system parameter reflecting the heat loss from the reaction phase

Publisher

Samara National Research University

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