Theory for Electrochemical Heat Sources and Exothermic Explosions: Akbari-Ganji’s Method

Ramalingam Vanaja; Ponraj Jeyabarathi; Lakshmanan Rajendran; Michael Edward Gerard Lyons

doi:10.20944/preprints202307.1500.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 5 July 2023 / Approved: 21 July 2023 / Online: 21 July 2023 (10:49:40 CEST)

This paper discusses the mathematical modelling of exothermic explosions in a slab. This model is based on a nonlinear equation containing a nonlinear term related to Arrhenius, bimolecular, and sensitised laws of reaction kinetics. The absolute temperature can be obtained by solving the nonlinear equation using Akbari-Ganji’s method. The influence of the parameters Frank-Kamenetskii, activation energy and numerical exponent on temperature is discussed. The analytical results are compared with previous available analytical and numerical results ( Matlab). A satisfactory agreement is noted.

electrochemical heat sources; exothermic explosions; mathematical modelling; nonlinear equation; Akbari-Ganji’s method

Chemistry and Materials Science, Electrochemistry

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Theory for Electrochemical Heat Sources and Exothermic Explosions: Akbari-Ganji’s Method

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