2016
DOI: 10.2298/tam1601133a
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Adomian-Hermite-Padé approximation approach to thermal criticality for a reactive third grade fluid flow through porous medium

Abstract: 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 co… Show more

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Cited by 6 publications
(2 citation statements)
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“…The flow is assumed to be induced by an applied axial constant pressure gradient and bouyancy force. Neglecting the reacting viscous fluid consumption the model equations emanating from the momentum and heat balance can be written as [12,15,16]:…”
Section: Mathematical Formulationmentioning
confidence: 99%
“…The flow is assumed to be induced by an applied axial constant pressure gradient and bouyancy force. Neglecting the reacting viscous fluid consumption the model equations emanating from the momentum and heat balance can be written as [12,15,16]:…”
Section: Mathematical Formulationmentioning
confidence: 99%
“…To solve the momentum problem, the Laplace transform method was used. The contribution of non‐Newtonian components on thermal stability of porous medium and flow of reactive third‐grade fluid in a channel was investigated by Adesanya et al 9 Adomain Decomposition Technique was used in conjunction with the Padé approximation method to solve the governing nonlinear ODEs. Magnetofluids include plasma, liquid metals, and electrolytes.…”
Section: Introductionmentioning
confidence: 99%