The steady magnetohydrodynamic (MHD) mixed convection stagnation-point flow toward a vertical heated surface is investigated in this study. The external velocity impinges normal to the vertical surface and the surface temperature are assumed to vary linearly with the distance from the stagnation point. The governing partial differential equations are transformed into a system of ordinary differential equations, which is then solved numerically by a finite-difference method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. Both assisting and opposing flows are considered. It is found that dual solutions also exist for the assisting flow, besides that usually reported in the literature for the opposing flow.
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September 2007
This article was originally published in
Journal of Heat Transfer
Technical Papers
Dual Solutions in Magnetohydrodynamic Mixed Convection Flow Near a Stagnation-Point on a Vertical Surface
A. Ishak,
A. Ishak
School of Mathematical Sciences, Faculty of Science and Technology,
Universiti Kebangsaan Malaysia
, 43600 UKM Bangi, Selangor, Malaysia
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R. Nazar,
R. Nazar
School of Mathematical Sciences, Faculty of Science and Technology,
e-mail: rmn72my@yahoo.com
Universiti Kebangsaan Malaysia
, 43600 UKM Bangi, Selangor, Malaysia
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N. M. Arifin,
N. M. Arifin
Department of Mathematics,
Universiti Putra Malaysia
, 43400 UPM Serdang, Selangor, Malaysia
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I. Pop
I. Pop
Faculty of Mathematics,
University of Cluj
, R-3400 Cluj CP 253, Romania
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A. Ishak
School of Mathematical Sciences, Faculty of Science and Technology,
Universiti Kebangsaan Malaysia
, 43600 UKM Bangi, Selangor, Malaysia
R. Nazar
School of Mathematical Sciences, Faculty of Science and Technology,
Universiti Kebangsaan Malaysia
, 43600 UKM Bangi, Selangor, Malaysiae-mail: rmn72my@yahoo.com
N. M. Arifin
Department of Mathematics,
Universiti Putra Malaysia
, 43400 UPM Serdang, Selangor, Malaysia
I. Pop
Faculty of Mathematics,
University of Cluj
, R-3400 Cluj CP 253, RomaniaJ. Heat Transfer. Sep 2007, 129(9): 1212-1216 (5 pages)
Published Online: January 17, 2007
Article history
Received:
October 4, 2006
Revised:
January 17, 2007
Citation
Ishak, A., Nazar, R., Arifin, N. M., and Pop, I. (January 17, 2007). "Dual Solutions in Magnetohydrodynamic Mixed Convection Flow Near a Stagnation-Point on a Vertical Surface." ASME. J. Heat Transfer. September 2007; 129(9): 1212–1216. https://doi.org/10.1115/1.2740645
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