Defence Technology

Defence Technology

Volume 18, Issue 10, October 2022, Pages 1842-1851
Defence Technology

Thermal explosion of a reactive gas mixture at constant pressure for non-uniform and uniform temperature systems

https://doi.org/10.1016/j.dt.2021.06.009Get rights and content
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Abstract

In this study, the approximate and exact solutions for the stationary-state of the solids model with neglecting reactant consumption for both non-uniform and uniform temperature systems were applied on gas ignition under a constant pressure condition. The criticality conditions for a slab, an infinite cylinder, and a sphere are determined and discussed using dimensionless temperatures under constant ambient and surface temperatures for a non-uniform temperature system. Exact solution for a Semenov model with convection heat loss was also presented. The solution of the Semenov problem for constant volume or density as a solid and constant pressure were compared. The critical parameter δ is calculated and compared with those of Frank-Kamenetskii solution values. The validation of the calculated ignition temperatures with other exact solution and experimental results were offered. The relation between critical parameters form Semenov and F.K. models solution was introduced.

Keywords

Thermal explosion
Approximate solution
Critical conditions
Distributed and uniform temperature systems

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Peer review under responsibility of China Ordnance Society