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Z. Naturforsch. 66a, 495 – 499 (2011)
doi:10.5560/ZNA.2011-0013
Magnetohydrodynamic Stagnation Point Flow with a Convective Surface Boundary Condition
Khamisah Jafar1, Anuar Ishak2, and Roslinda Nazar2
1 Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
2 School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
Received December 7, 2010 / revised March 15, 2011
Reprint requests to: A. I.; E-mail: anuarishak@yahoo.com
This study analyzes the steady laminar two-dimensional stagnation point flow and heat transfer of an incompressible viscous fluid impinging normal to a horizontal plate, with the bottom surface of the plate heated by convection from a hot fluid. A uniform magnetic field is applied in a direction normal to the flat plate, with a free stream velocity varying linearly with the distance from the stagnation point. The governing partial differential equations are first transformed into ordinary differential equations, before being solved numerically. The analysis includes the effects of the magnetic parameter, the Prandtl number, and the convective parameter on the heat transfer rate at the surface. Results showed that the heat transfer rate at the surface increases with increasing values of these quantities.
Key words: Stagnation Point Flow; Magnetohydrodynamic; Convective Boundary Condition.
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