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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/ange.200805152

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1806-3691

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Slip effects on MHD boundary layer flow of Oldroyd

Authors: S Abbasbandy M Mustafa T Hayat A Alsaedi
Publish Date: 2017/03/07
Volume: 39, Issue: 9, Pages: 3389-3397
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Abstract

Present analysis is made for the laminar flow of OldroydB fluid induced by a deforming sheet in the existence of transverse magnetic field Flow model is constructed in the presence of slip boundary condition The governing problem even after utilizing boundary layer approximations comprises of nonlinear differential equation with the nonlinear boundary condition Such boundary condition for the no slip case is linear Highly accurate analytic solutions for velocity distribution are derived by powerful homotopy analysis approach Permissible values of the convergence control parameter are obtained by the socalled hcurves The behavior of parameters on the solutions is shown graphically In the light of numerical results we predict that slip effect gives opposition to the momentum transport phenomenon Moreover the behaviors of relaxation and retardation time are qualitatively opposite A comparative study of slip and noslip cases is also discussed

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