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Z. Naturforsch. 67a, 147 – 152
(2012)
doi:10.5560/ZNA.2012-0001
Heat Transfer Analysis on the Magnetohydrodynamic Flow of a Non-Newtonian Fluid in the Presence of Thermal Radiation: An Analytic Solution
1 Department of Mathematics, Zhejiang University, Hangzhou 310027, China
2 Modern Textile Institute, Donghua University, 1882 Yan'an Xilu Road, Shanghai 200051, China
3 Ege University, Science Faculty, Department of Mathematics, 35100 Bornova Izmir, Turkey
4 HITEC University Taxila Cantt, Pakistan
Received July 10, 2011 / revised November 1, 2011 / published online April 2, 2012
Reprint requests to: Y. K.; E-mail:
yasirmath@yahoo.com
In this paper, a two-dimensional, steady magnetohydrodynamic flow and heat transfer analysis of a non-Newtonian fluid in a channel with a constant wall temperature are considered in the presence of thermal radiation. The steady Navier–Stokes equations are reduced to nonlinear ordinary differential equations by using similarity variables. The homotopy perturbation method is used to solve the nonlinear ordinary differential equations. The effects of the pertinent parameters on the velocity and temperature field are discussed.
Key words: Thermal Radiation; Magnetohydrodynamic (MHD) Flow; Homotopy Perturbation Method (HPM).