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Z. Naturforsch. 67a, 195 – 202 (2012)
doi:10.5560/ZNA.2012-0006
Radiation Effect on the Mixed Convection Flow of a Viscoelastic Fluid Along an Inclined Stretching Sheet
Muhammad Qasim1, Tasawar Hayat2, and Saleem Obaidat3
1 Department of Mathematics, COMSATS Institute of Information Technology (CIIT), Park Road, Chak Shahzad, Islamabad, Pakistan
2 Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
3 Department of Mathematics, College of Sciences, King Saud University P.O. Box 2455, Riyadh 11451, Saudi Arabia
Received June 30, 2011 / revised December 18, 2011 / published online April 2, 2012
Reprint requests to: M. Q.; E-mail: mq_qau@yahoo.com
This study concentrates on the heat transfer analysis of the steady flow of viscoelastic fluid along an inclined stretching surface. Analysis has been carried out in the presence of thermal radiation and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. The equations of continuity, momentum and energy are reduced into the system of governing differential equations and solved by homotopy analysis method (HAM). The velocity and temperature are illustrated through graphs. Exact and homotopy solutions are compared in a limiting sense. It is noticed that viscoelastic parameter decreases the velocity and boundary layer thickness. It is also observed that increasing values of viscoelastic parameter reduces the thickness of momentum boundary layer and increase the heat transfer rate. However, it is found that increasing the radiation parameter has the effect of decreasing the local Nusselt number.
Key words: Inclined Stretching; Thermal Radiation; Mixed Convection; Series Solution.
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