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Research Papers: Forced Convection

Analytic Solution of Three-Dimensional Viscous Flow and Heat Transfer Over a Stretching Flat Surface by Homotopy Analysis Method

[+] Author and Article Information
Ahmer Mehmood1

Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad 44000, Pakistan; Department of Mathematics (FBAS), International Islamic University, Islamabad 44000, Pakistanahmerqau@yahoo.co.uk

Asif Ali

Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad 44000, Pakistan

1

Corresponding author.

J. Heat Transfer 130(12), 121701 (Sep 16, 2008) (7 pages) doi:10.1115/1.2969753 History: Received June 23, 2007; Revised April 11, 2008; Published September 16, 2008

In this paper heat transfer in an electrically conducting fluid bonded by two parallel plates is studied in the presence of viscous dissipation. The plates and the fluid rotate with constant angular velocity about a same axis of rotation where the lower plate is a stretching sheet and the upper plate is a porous plate subject to constant injection. The governing partial differential equations are transformed to a system of ordinary differential equations with the help of similarity transformation. Homotopy analysis method is used to get complete analytic solution for velocity and temperature profiles. The effects of different parameters are discussed through graphs.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

ℏ−curves for f(η)andg(η) at 15th order approximation

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Figure 2

ℏ−curve for T(η) at 15th order approximation

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Figure 3

Temperature distribution at different values of the injection parameter

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Figure 4

Effect of rotation parameter K on temperature profile

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Figure 5

Temperature profiles at different R

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Figure 6

Influence of the Prandtl number on temperature distribution

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Figure 7

T(η) plotted at different local Eckert numbers

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Figure 8

Effect of the Eckert number on T(η)

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Figure 9

Effect of Prandtl number on T(η) in the absence of viscous dissipation

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Figure 10

Influence of magnetic field on temperature distribution

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