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TECHNICAL PAPERS: Natural and Mixed Convection

# Dual Solutions in Magnetohydrodynamic Mixed Convection Flow Near a Stagnation-Point on a Vertical Surface

[+] Author and Article Information
A. Ishak

School of Mathematical Sciences, Faculty of Science and Technology,  Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia

R. Nazar1

School of Mathematical Sciences, Faculty of Science and Technology,  Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysiarmn72my@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, Romania

1

Corresponding author.

J. Heat Transfer 129(9), 1212-1216 (Jan 17, 2007) (5 pages) doi:10.1115/1.2740645 History: Received October 04, 2006; Revised January 17, 2007

## Abstract

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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## Figures

Figure 5

Temperature profiles θ(η) for M=0,1 when Pr=1 and λ=1 (assisting flow)

Figure 4

Velocity profiles f′(η) for M=0,1 when Pr=1 and λ=1 (assisting flow)

Figure 3

Variation of the local Nusselt number −θ′(0) with λ for M=0,1 when Pr=1

Figure 2

Variation of the skin friction coefficient f″(0) with λ for M=0,1 when Pr=1

Figure 1

Physical model and coordinate system

Figure 6

Velocity profiles f′(η) for M=0,1 when Pr=1 and λ=−1 (opposing flow)

Figure 7

Temperature profiles θ(η) for M=0,1 when Pr=1 and λ=−1 (opposing flow)

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