@inproceedings{scholars8120, note = {cited By 2; Conference of 2017 4th International Conference on Advanced Materials, Mechanics and Structural Engineering, AMMSE 2017 ; Conference Date: 22 September 2017 Through 24 September 2017; Conference Code:132654}, year = {2017}, title = {On Heat Transfer Analysis for a Sphere of Combustible Material of Variable Thermal Conductivity}, journal = {IOP Conference Series: Materials Science and Engineering}, number = {1}, doi = {10.1088/1757-899X/269/1/012062}, volume = {269}, publisher = {Institute of Physics Publishing}, issn = {17578981}, author = {Lebelo, R. S. and Mahlobo, R. K. and Adesanya, S. O. and Muthuvalu, M. S.}, abstract = {This article considers an exothermic chemical reaction taking place in a stockpile of reactive material with a thermal conductivity that is temperature dependent. The study is modeled in a spherical domain whose carbon-containing material reacts spontaneously with the oxygen trapped within the system. The combustion process results with a complicated process that is nonlinear in nature, and the energy equation used to govern the problem is tackled numerically with the semi-implicit finite difference method (FDM). The results are depicted graphically and discussed to give a theoretical understanding of the heat transfer analysis during combustion. {\^A}{\copyright} Published under licence by IOP Publishing Ltd.}, keywords = {Carbon; Combustion; Finite difference method; Heat transfer; Nonlinear equations; Structural design, Carbon-containing materials; Combustible materials; Combustion pro-cess; Exothermic chemical reaction; Heat transfer analysis; Semi-implicit finite difference methods; Temperature dependent; Variable thermal conductivity, Thermal conductivity}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85038419418&doi=10.1088\%2f1757-899X\%2f269\%2f1\%2f012062&partnerID=40&md5=b745f20d0382e882dcba8be8de85b5c3} }