R.S.  Lebelo, B.R.  Mabuza, 
    Numerical Investigation of Thermal Stability in Media of
Different Physical Geometries,
    Journal of Engineering and Applied Sciences,
    Volume 12,Issue 24,
    2017,
    Pages 7555-7561,
    ISSN 1816-949x,
    jeasci.2017.7555.7561,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2017.7555.7561)
    Abstract: Spontaneous combustion in stockpiles of combustible materials is due to exothermic chemical
reaction taking place within the system, where the trapped oxygen reacts automatically with the material
containing carbon or hydrocarbons. The chemical reaction results with heat as one of the products. Should the
rate of heat production exceed that of heat release to the ambient, the system’s temperature increases rapidly
and may lead to thermal runaway that ultimately causes self-ignition. In this study, effects of kinetic parameters
such as activation energy and rate of reaction on the temperature of the system are investigated. These
parameters are embedded on the differential equation governing the problem. The combustion reaction results
with complicated reaction mechanism that is nonlinear and as a result the nonlinear differential equation is
tackled using numerical methods. Runge-Kutta-Fehlberg (RKF45) method coupled with shooting technique is
used to solve the equation with the help of Maple Software.
    Keywords: Thermal stability;reactive slab;reactive cylinder;reactive sphere;Runge-kutta Fehlberg method;embedded