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Advances in Mathematical Physics
Volume 2016 (2016), Article ID 9384541, 6 pages
Research Article

Thermal Stability Investigation in a Reactive Sphere of Combustible Material

Department of Mathematics, Vaal University of Technology, Private Bag Box X021, Vanderbijlpark 1911, South Africa

Received 22 February 2016; Revised 17 June 2016; Accepted 10 July 2016

Academic Editor: Ricardo Weder

Copyright © 2016 R. S. Lebelo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An investigation of thermal stability in a stockpile of combustible material is considered. The combustible material is any carbon containing material that can react with oxygen trapped in a stockpile due to exothermic chemical reaction. The complicated process is modelled in a sphere and one-dimensional energy equation is used to solve the problem. The semi-implicit finite difference method (FDM) is applied to tackle the nonlinear differential equation governing the problem. Graphical solutions are displayed to describe effects of embedded kinetic parameters on the temperature of the system.