Geodesic
Adomian--Hermite--Padé approximation approach to thermal criticality for a reactive third grade fluid flow through porous medium
Theoretical and applied mechanics, Tome 43 (2016) no. 1, p. 133 .

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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.
DOI : 10.2298/TAM1601133A
Classification : 80A20, 76S05, 76A05
Keywords: thermal criticality, third grade fluid, multiple solutions, Arrhenius kinetics 
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     title = {Adomian--Hermite--Pad\'e approximation approach to thermal criticality for a reactive third grade fluid flow through porous medium},
     journal = {Theoretical and applied mechanics},
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Samuel O. Adesanya; J. A. Falade; J. C. Ukaegbu; Oluwole D. Makinde. Adomian--Hermite--Padé approximation approach to thermal criticality for a reactive third grade fluid flow through porous medium. Theoretical and applied mechanics, Tome 43 (2016) no. 1, p. 133 . doi : 10.2298/TAM1601133A. http://geodesic.mathdoc.fr/articles/10.2298/TAM1601133A/

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