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TECHNICAL BRIEFS

# Mixed Convection on the Stagnation Point Flow Toward a Vertical, Continuously Stretching Sheet

[+] 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

I. Pop

Faculty of Mathematics, University of Cluj, R-3400 Cluj CP 253, Romania

1

Corresponding author.

J. Heat Transfer 129(8), 1087-1090 (Dec 19, 2006) (4 pages) doi:10.1115/1.2737482 History: Received September 04, 2006; Revised December 19, 2006

## Abstract

The stagnation point flow toward a stretching vertical sheet is investigated in this study. The temperature and velocity of the sheet as well as the velocity of the external flow are assumed to vary in a power law with the distance from the stagnation point. The governing system of equations is first transformed into a dimensionless form, and then the resulting equations are 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, for opposing flow, dual solutions exist in the neighborhood of the separation region, whereas for assisting flow the solution is unique.

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## Figures

Figure 1

Plot of f″(0) versus λ for Pr=1 and ϵ=1

Figure 2

Plot of −θ′(0) versus λ for Pr=1 and ϵ=1

Figure 3

Plot of f′(η) versus η for Pr=1, m=1, ϵ=1 and λ=−4

Figure 4

Plot of θ(η) versus η for Pr=1, m=1, ϵ=1 and λ=−4

Figure 5

Plot of f″(0) versus λ for Pr=1 and m=1

Figure 6

Plot of −θ′(0) versus λ for Pr=1 and m=1

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