Thermal explosion with convection in porous media: A Mathematical Approach
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Date
2022-11-04
Journal Title
Journal ISSN
Volume Title
Publisher
University of Lagos, Nigeria
Abstract
This paper studies the interaction between natural convection and thermal explosion in
porous media. The model consists of the heat equation with a nonlinear source term
describing heat production due to an exothermic chemical reaction coupled with the Darcy
law. The conditions for the existence of unique solutions of the energy equation are
established by the Lipschitz continuity approach. The analytical solution is obtained via
Olayiwola’s generalized polynomial approximation method (OGPAM), which shows the
influence of the parameters involved on the system. The effect of changes in values of
parameters such as the Frank-Kamenetskii number, Rayleigh number, and inverse of Vadasz
number are presented graphically and discussed. The results revealed that convection can
change the conditions of thermal explosion.
Description
A journal publication
Keywords
convection, explosion, first-order reaction, OGPAM, porous medium, thermal explosion, mathematical approach
Citation
R. O. Olayiwola, S. I. Yusuf, A. D. Abubakar, K. J. Audu, I. B. S. Mohammed, E. O. Anyanwu, U. A. Abdullahi & J. P. Oyubu. (2022). Thermal explosion with convection in porous media: A Mathematical Approach. Journal of Mathematical Analysis and Modelling, 5(4), 95-108