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Z. Naturforsch. 66a, 606 – 614 (2011)
doi:10.5560/ZNA.2011-0024
Thermal Radiation Effects on the Mixed Convection Stagnation-Point Flow in a Jeffery Fluid
Tasawar Hayat1,2, Sabir Ali Shehzad1, Muhammad Qasim1, and Saleem Obaidat2
1 Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
2 Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Received September 27, 2010 / revised June 7, 2011
Reprint requests to: M. Q.; Tel: +92 51 90642172; E-mail: mq_qau@yahoo.com
This study describes the mixed convection stagnation point flow and heat transfer of a Jeffery fluid towards a stretching surface. Mathematical formulation is given in the presence of thermal radiation. The Rosseland approximation is used to describe the radiative heat flux. Similarity transformations are employed to reduce the partial differential equations into the ordinary differential equations which are then solved by a homotopy analysis method (HAM). A comparative study is made with the known numerical solutions in a limiting sense and an excellent agreement is noted. The characteristics of involved parameters on the dimensionless velocity and temperature are also examined. It is noticed that the velocity increases with an increase in Deborah number. Further, the temperature is a decreasing function of mixed convection parameter. We further found that for fixed values of other parameters, the local Nusselt number increases by increasing suction parameter and Deborah number.
Key words: Mixed Convection; Stagnation-Point Flow; Thermal Radiation; Jeffery Fluid; Series Solutions.
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