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Research Article Open Access

Radiative heat loss impact modelling on thermal decomposition analysis in a reactive slab of variable thermal conductivity   



Ramoshweu S. Lebelo*



Author-affiliation: Mathematics Department, Vaal University of Technology, Andries Potgieter Boulevard,
Vanderbijlpark, 1911, South Africa.

Adv. Mater. Proc., 2018, 3 (3), 151-154

DOI: 10.5185/amp.2018/983

Publication Date (Web):05 March 2018

Copyright © IAAM-VBRI Press



In this article, an investigation into the impact of radiative heat loss in a stockpile of combustible material is considered. The heat loss is due to exothermic chemical reaction when carbon containing material of the stockpile reacts automatically with oxygen trapped within the system. The study is modelled in a rectangular slab of thermal conductivity that varies with temperature and loses heat to the surrounding environment by radiation. The differential equations governing the problem are solved numerically using Runge-Kutta-Fehlberg (RKF) method coupled with shooting technique. The behaviour of each embedded kinetic parameter of the system due to variation with temperature, oxygen depletion (O2) and carbon dioxide emission (CO2), is analysed and results are graphically expressed and discussed appropriately. The results show that kinetic parameters which enhance exothermic chemical reaction correspondingly increase the temperature and CO2 emission of the combustion process. Copyright © 2018 VBRI Press.


Radiative heat loss, exothermic chemical reaction, reactive slab, oxygen depletion, carbon dioxide emission.