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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

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