Adomian-Hermite-Padé approximation approach to thermal criticality for a reactive third grade fluid flow through porous medium

This paper investigates the effect of non-Newtonian material effect on the thermal stability of a reactive fluid flow through a channel saturated with porous medium by using Brinkman model. Approximate solution of the dimensionless nonlinear ordinary differential equation governing the fluid flow is obtained by using Adomian decomposition method together with special Hermite-Pad e approximant. Effects of various non-Newtonian fluid parameters on both the velocity and temperature fields are constructed and discussed.

On the Critical Behaviour of Exothermic Explosions in Class A Geometries

The aim of this work is to apply the homotopy perturbation method for solving the steady state equations of the exothermic decomposition of a combustible material obeying Arrhenius, Bimolecular, and Sensitised laws of reaction rates. These equations are formulated on some Class A geometries (an infinite cylinder, an infinite slab, and a sphere). We also investigate the effect of Frank-Kamenetskii parameter on bifurcation and thermal criticality by means of the Domb-Sykes graphical method.

Analysis of Non-Newtonian Reactive Flow in a Cylindrical Pipe

In this paper, a mathematical investigation on the effect of convective cooling on a reactive third-grade fluid flowing steadily through a cylindrical pipe is performed. It is assumed that the system exchange heat, with the ambient following Newton’s cooling law and the reaction, is exothermic under Arrhenius kinetics, neglecting the consumption of the material. The simplified governing nonlinear equations of momentum and energy are obtained and solved using a special type of the Hermite–Padé approximation technique. The important properties of the overall flow structure including velocity field, temperature field, bifurcations, and thermal criticality conditions are discussed.