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Theory for Electrochemical Heat Sources and Exothermic Explosions: The Akbari–Ganji Method

Authors :
Ramalingam Vanaja
Ponraj Jeyabarathi
Lakshmanan Rajendran
Michael Edward Gerard Lyons
Source :
Electrochem, Vol 4, Iss 3, Pp 424-434 (2023)
Publication Year :
2023
Publisher :
MDPI AG, 2023.

Abstract

A device that transforms chemical energy into electrical energy is an electrochemical cell. The reaction type inside the cell determines whether it is exothermic or endothermic. 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 derived by solving the nonlinear equation using the Akbari–Ganji technique. The mathematical model also numerically solved and simulated in the MATLAB® v2016b software. The new simple theoretical result is validated with previously identified analytical and numerical findings. The influence of the parameters of Frank-Kamenetskii number, activation energy and the numerical exponent on temperature is discussed. The Frank-Kamenetskii number is observed to drop as the temperature is found to decrease, while the activation energy parameter is shown to increase. The numerical exponent has little or no effect on the temperature. An extension of this model to cylinder and sphere geometry is also provided.

Details

Language :
English
ISSN :
26733293
Volume :
4
Issue :
3
Database :
Directory of Open Access Journals
Journal :
Electrochem
Publication Type :
Academic Journal
Accession number :
edsdoj.060efc07a024fbf921d79f486c242de
Document Type :
article
Full Text :
https://doi.org/10.3390/electrochem4030027