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Title of Journal: J Braz Soc Mech Sci Eng

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Abbravation: Journal of the Brazilian Society of Mechanical Sciences and Engineering

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Springer Berlin Heidelberg

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DOI

10.1002/dvg.22772

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1806-3691

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Analysis of MHD flow characteristics of an UCM vis

Authors: M Abbasi M Khaki A Rahbari D D Ganji I Rahimipetroudi
Publish Date: 2015/03/01
Volume: 38, Issue: 3, Pages: 977-988
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Abstract

In the present study the problem of twodimensional magnetohydrodynamic MHD flow of an upperconvected Maxwell UCM fluid has been investigated in a permeable channel with slip at the boundaries Employing the similarity variables the basic partial differential equations are reduced to ordinary differential equations with Dirichlet and Neumann boundary conditions which are solved analytically and numerically using the Homotopy Analysis Method and fourthorder Runge–Kutta–Fehlberg method respectively The influences of the some physical parameters such as Reynolds number slip condition Hartman number and Deborah number on nondimensional velocity profiles are considered As an important outcome comparison between HAM and numerical method shows that HAM is an exact and highefficient method for solving these kinds of problems Moreover it can be found that the velocity profiles are a decreasing function of Hartmann number and Deborah number

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