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Technical Brief

Influence of Melting Heat Transfer in the Stagnation-Point Flow of a Jeffrey Fluid in the Presence of Viscous Dissipation

[+] Author and Article Information
M. Mustafa1

Research Centre for Modeling and Simulation (RCMS),  National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistanmeraj_mm@hotmail.com

T. Hayat

Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Department of Physics,  Faculty of Science, King Saud University, P. O. Box 1846, Riyadh 11321, Saudi Arabia

Awatif A. Hendi

Department of Physics,  Faculty of Science, King Saud University, P.O. Box 1846, Riyadh 11321, Saudi Arabia

1

Corresponding author.

J. Appl. Mech 79(2), 024501 (Feb 09, 2012) (5 pages) doi:10.1115/1.4005560 History: Received January 26, 2011; Revised July 24, 2011; Posted January 31, 2012; Published February 09, 2012; Online February 09, 2012

This communication studies the effect of melting heat transfer on the stagnation-point flow of a Jeffrey fluid over a stretching sheet. Heat transfer analysis is carried out in the presence of viscous dissipation. The arising differential system has been solved by the homotopy analysis method (HAM). The results indicate an increase in the velocity and the boundary layer thickness with an increase in the values of the elastic parameter (Deborah number) for a Jeffrey fluid which are opposite to those accounted for in the literature for the other subclasses of rate type fluids. Furthermore, an increase in the melting process corresponds to an increase in the velocity and a decrease in the temperature. A comparative study between the current computations and the previous studies is also presented in a limiting sense.

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Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 7

Influence of Pr on θ

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Figure 8

Influence of Ec on θ

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Figure 4

Influence of β on f ′

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Figure 3

Influence of M on f′

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Figure 2

ħ-curve for the functions f and θ

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Figure 1

Geometry of the problem

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Figure 5

Influence of A on f ′

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Figure 6

Influence of M on θ

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