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

Electrochem Pub Date : 2023-09-05 DOI:10.3390/electrochem4030027

Ramalingam Vanaja, P. Jeyabarathi, Lakshmanan Rajendran, M. E. G. Lyons

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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.

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电化学热源和放热爆炸理论:阿克巴里-甘吉法

把化学能转化为电能的装置是电化学电池。细胞内的反应类型决定了它是放热还是吸热。本文讨论了板坯放热爆炸的数学模型。该模型基于一个非线性方程，其中包含与Arrhenius，双分子和敏感反应动力学定律相关的非线性项。用Akbari-Ganji法求解非线性方程，可以得到绝对温度。并在MATLAB®v2016b软件中对数学模型进行了数值求解和仿真。新的简单理论结果与先前确定的分析和数值结果相验证。讨论了Frank-Kamenetskii数、活化能和数值指数等参数对温度的影响。随着温度的降低，Frank-Kamenetskii数降低，而活化能参数增加。数值指数对温度的影响很小或没有影响。将该模型推广到圆柱和球面几何。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electrochem

CiteScore

6.30

自引率

0.00%

发文量