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Z. Naturforsch. 67a, 70 – 76 (2012)
doi:10.5560/ZNA.2011-0057
Stagnation-Point Flow and Heat Transfer of a Casson Fluid towards a Stretching Sheet
Meraj Mustafa1, Tasawar Hayat2,3, Ioan Pop4, and Awatif Hendi3
1 Research Centre for Modeling and Simulation (RCMS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan
2 Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
3 Department of Physics, Faculty of Science, King Saud University, P. O. Box 1846, Riyadh 11321, Saudi Arabia
4 Faculty of Mathematics, University of Cluj, R-3400 Cluj, Romania
Received June 6, 2011 / revised October 2, 2011
Reprint requests to: M. M.; Tel.: + 92 51 90855733, E-mail: meraj_mm@hotmail.com
This article reports the flow of a Casson fluid in the region of stagnation-point towards a stretching sheet. The characteristics of heat transfer with viscous dissipation are also analyzed. The partial differential equations representing the flow and heat transfer of the Casson fluid are reduced to ordinary differential equations through suitable transformations. The flow is therefore governed by the Casson fluid parameter β, the ratio of the free stream velocity to the velocity of the stretching sheet a/c, the Prandtl number Pr, and the Eckert number Ec. The analytic solutions in the whole spatial domain have been computed by the homotopy analysis method (HAM). The dimensionless expressions for the skin friction coefficient and the local Nusselt number have been calculated and discussed.
Key words: Casson Fluid; Viscous Dissipation; Heat Transfer; Analytic Solutions.
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