A numerical study of steady state exothermic reaction in a slab with convective boundary conditions

International Journal of Physical Sciences

A. M. K.Legodi¹ 

关键词: Rectangular slab;    reactant consumption;    thermal criticality;    Hermite-Padé;    series;    shooting method;    convective boundary conditions.;   

DOI  :  10.5897/IJPS11.307

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

In this paper, we considered a steady state, exothermic nth order oxidation chemical reaction in a slab with reactant consumption in the presence of convective heat and oxygen exchange with the surrounding ambient at the slab surface. The coupled nonlinear differential equations governing the system are obtained andare solved numerically using the standard Newton–Raphson shooting method along with a fourth-order Runge–Kutta integration algorithm. A perturbation methodtogether witha special type of Hermite-Padé series summation and improvement technique is also employed to tackle the problem. Important properties of the temperature field including the effects of embedded parameters on the thermal stability of the system are discussed.

【 授权许可】

CC BY