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Radiation effects on MHD flow of Maxwell fluid in a channel with porous medium
Authors:T. Hayat  R. Sajjad  M. Sajid
Affiliation:a Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
b Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
c Department of Mathematics, FBAS, International Islamic University, Islamabad 44000, Pakistan
d Theoretical Plasma Physics Division, PINSTECH, P.O. Nilore, Islamabad 44000, Pakistan
e Physics Department, Faculty of Science, King Saud University, P.O. Box 1846, Riyadh 11321, Saudi Arabia
Abstract:This paper describes the heat transfer analysis with thermal radiation on the two-dimensional magnetohydrodynamic (MHD) flow in a channel with porous walls. The upper-convected Maxwell (UCM) fluid fills the porous space between the channel walls. The corresponding boundary layer equations are transformed into ordinary differential equations by means of similarity transformations. The resulting problems are solved by employing homotopy analysis method (HAM). Convergence of the derived series solutions is ensured. The effects of embedded parameters on the dimensionless velocity components and temperature are examined through plots. The variation of local Nusselt number is also analyzed.
Keywords:Maxwell fluid   Heat transfer   Porous medium   Porous channel
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