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HOMOGENEOUS-HETEROGENEOUS REACTIONS IN AN EYRING-POWELL FLUID OVER A STRETCHING SHEET IN A POROUS MEDIUM

Volume 7, Edição 1, 2016, pp. 15-25
DOI: 10.1615/SpecialTopicsRevPorousMedia.v7.i1.20
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RESUMO

This study aims to investigate homogeneous and heterogeneous reactions in an Eyring−Powell fluid flow through a porous medium over a stretching sheet. A second-order approximation of the Eyring−Powell model is used to obtain the flow equations. The flow is influenced by linearly stretching sheet in the presence of homogeneous and heterogeneous reactions in a porous space and Darcy resistance for Eyring−Powell fluid is formulated for the first time in literature. Coupled non-linear partial differential equations are transformed into non-linear ordinary differential equations by using similarity transformations. Solution of the equations is obtained numerically by fourth-order Runge−Kutta (RK 4th order) method with shooting technique and analytically by homotopy analysis method (HAM). An efficient analytical optimal homotopy analysis method (OHAM) by Mathematica package BVPh2.0 is applied to compute the residual errors and convergence control parameters of the series solutions.

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