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# Boundary Layer Stagnation-Point Flow Toward a Stretching/Shrinking Sheet in a Nanofluid

[+] Author and Article Information
Norfifah Bachok

Department of Mathematics and Institute
for Mathematical Research,
Universiti Putra Malaysia,
43400 UPM Serdang,
Selangor, Malaysia

Anuar Ishak

School of Mathematical Sciences,
Faculty of Science and Technology,
Universiti Kebangsaan Malaysia,
43600 UKM Bangi,
Selangor, Malaysia
e-mail: anuar_mi@ukm.my

Ioan Pop

Department of Mathematics,
Babeş-Bolyai University,
400084 Cluj-Napoca, Romania

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received February 26, 2012; final manuscript received December 13, 2012; published online April 9, 2013. Assoc. Editor: Phillip M. Ligrani.

J. Heat Transfer 135(5), 054501 (Apr 09, 2013) (5 pages) Paper No: HT-12-1072; doi: 10.1115/1.4023303 History: Received February 26, 2012; Revised December 13, 2012

## Abstract

An analysis is carried out to study the steady two-dimensional stagnation-point flow of a nanofluid over a stretching/shrinking sheet in its own plane. The stretching/shrinking velocity and the ambient fluid velocity are assumed to vary linearly with the distance from the stagnation point. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. A similarity solution is presented which depends on the Prandtl number $Pr$, Lewis number $Le$, Brownian motion parameter $Nb$ and thermophoresis parameter $Nt$. It is found that the local Nusselt number is a decreasing function, while the local Sherwood number is an increasing function of each parameters $Pr$, $Le$, $Nb$, and $Nt$. Different from a stretching sheet, the solutions for a shrinking sheet are nonunique.

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## Figures

Fig. 1

Variation of f"(0) with ɛ

Fig. 6

Effects of Nb and Nt on the temperature distribution for specified parameters

Fig. 5

Effects of Nb and Le on the dimensionless concentration rates

Fig. 4

Effects of Nb and Le on the dimensionless heat transfer rates

Fig. 3

Effects of Nb and Pr on the dimensionless heat transfer rates

Fig. 2

Variation of -θ'(0) with ɛ for various values of Pr

## Errata

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