THE EFFECT OF SYMMETRIC AND ASYMMETRIC VARIOUS BOUNDARY CONDITIONS IN PARALLEL PLATES

Abstract

This paper considers a combination of symmetric and asymmetric boundary conditions on thermal explosion with Arrhenius kinetics for a slab (parallel plates); the formulated energy equation was non-dimensionalized. Some realistic assumptions will convert the energy conservation equation into dimensionless form, and the resulting nonlinear ordinary differential equation under various boundary conditions will be analytically solved using Frank-Kamanetskii's methods. Variable separation and integration embedded in MAPLE 17 Platform. The graphical display of the effect of the emerging parameters (Dimensionless surface temperature, critical maximum and critical Frank-Kamenetskii numbers are presented. The result shows that the maximum critical temperature increases with increasing dimensionless temperature and decreasing critical Fran-Kamenetskii number for asymmetric model. The symmetric model was found to serve as limiting case to the asymmetric. The study concluded that changing the boundary conditions model was of the parallel Plates significantly alters the critical maximum temperature and the critical Frank-Kamenetskii number. The results were compared with previous studies in literature.