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Research Papers: Micro/Nanoscale Heat Transfer

# Heat Transfer Analysis for Three-Dimensional Stagnation-Point Flow of Water-Based Nanofluid Over an Exponentially Stretching Surface

[+] Author and Article Information
Fiaz Ur Rehman

Department of Mathematics,
e-mail: tanolig@gmail.com

Department of Mathematics,
Quaid-I-Azam University,

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received January 22, 2017; final manuscript received August 29, 2017; published online January 17, 2018. Assoc. Editor: Zhuomin Zhang.

J. Heat Transfer 140(5), 052401 (Jan 17, 2018) (7 pages) Paper No: HT-17-1037; doi: 10.1115/1.4038359 History: Received January 22, 2017; Revised August 29, 2017

## Abstract

The basic theme of this investigation is to analyze heat and mass transport for three-dimensional (3D) stagnation-point flow of nanofluid caused by an exponentially stretched surface when water is treated as base fluid. In this study, we invoked the boundary layer phenomena and suitable similarity transformation of exponential character; as a result, our 3D nonlinear equations of momentum and energy are transmuted into nonlinear and nonhomogeneous differential equations involving ordinary derivatives. Final equations are then puzzled out by applying homotopy analysis technique. Interesting outcomes of aggressing parameters involved in this study, and effecting profiles of temperature field and velocity are explained in detail. Graphical results of involved parameters appearing in considered nanofluid are presented separately. Different aspects of skin friction coefficient as well as Nusselt number are calculated. It is worth mentioning that skin friction (as we go) along x and y-direction is maximal for Cu-water nanofluid and minimal for $AL2O3-$water nanofluid. Also, the resulting quantity of local Nusselt number came out maximum for Cu-water nanofluid whereas minimum for $TiO2-$water nanofluid.

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## Figures

Fig. 1

Geometry of the problem

Fig. 2

h-curves diagrammed for the functions f,g, and θ

Fig. 3

Effect of ϕ and r1 on f′(η) and g′(η)

Fig. 4

Influence of ϕ and r1 on g′(η) and θ(η)

Fig. 5

Influence of nanoparticle on f′(η) and g′(η)

Fig. 6

Influence of nanoparticles, A on θ(η) and ϕ, r1 on coefficient of skin friction along x-direction

Fig. 7

Influence of ϕ,α1, and α2 for different nanoparticles on coefficient of skin friction along x-direction

Fig. 8

Influence of ϕ,r1, and α1 for different nanoparticles on coefficient of skin friction along y-direction

Fig. 9

Influence of ϕ,r1 on coefficient of skin friction along y-direction

Fig. 10

Influence of ϕ,r1, and A for different nanoparticles on Nusselt number

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