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Heat Transfer Research
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ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2012004962
pages 779-794

EFFECTS OF SLIP FACTORS ON THE UNSTEADY STAGNATION POINT FLOW AND HEAT TRANSFER TOWARDS A STRETCHING SHEET: AN ANALYTICAL STUDY

Najeeb Alam Khan
Department of Mathematics, University of Karachi, Karachi 75270, Pakistan
Muhammad Jamil
Department of Mathematics, NED University of Engineering \& Technology, Karachi-75270, Pakistan
Nadeem Alam Khan
Department of Mathematical Sciences, University of Karachi, Karachi 75270, Pakistan

RÉSUMÉ

This paper aims at presenting an analytical solution to the problem of unsteady stagnation-point flow and heat transfer towards a stretching sheet. The homotopy analysis method (HAM) is employed to compute the solution of the system of nonlinear equations governing the problem. The slip contributions, which appeared in the solution as expected, tend to zero when the parameters λ and δ tend to zero. Finally, the influence of the material, slip, and the unsteadiness parameters of the fluid motion, as well as a comparison with the numerical solution are also discussed with the aid of graphical illustrations.


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