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# Homotopy Analysis for Stagnation Slip Flow and Heat Transfer on a Moving Plate

[+] Author and Article Information
T. Javed

Faculty of Applied Sciences, Department of Mathematics, IIU, Islamabad 44000, Pakistan

Z. Abbas1

Faculty of Applied Sciences, Department of Mathematics, IIU, Islamabad 44000, Pakistanza_qau@yahoo.com

T. Hayat

Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan

S. Asghar

Department of Mathematical Sciences, COMSATS Institute of Information Technology, H-8, Islamabad 44000, Pakistan

1

Corresponding author.

J. Heat Transfer 131(9), 094506 (Jun 26, 2009) (5 pages) doi:10.1115/1.2952759 History: Received April 27, 2007; Revised March 09, 2008; Published June 26, 2009

## Abstract

The development of two-dimensional or axisymmetric stagnation flow of an incompressible viscous fluid over a moving plate with partial slip has been investigated. The effects of partial slip on the flow and heat transfer characteristics are considered. The equations of conservation of mass, momentum, and energy, which govern the flow and heat transfer, are solved analytically using homotopy analysis method. The convergence of the series solution is analyzed explicitly. Comparison of the present homotopy results is made with the existing numerical and asymptotic solution (Wang, 2006, “Stagnation Slip Flow and Heat Transfer on a Moving Plate  ,” Chem. Eng. Sci., 23, pp. 7668–7672) and an excellent agreement is achieved.

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Copyright © 2009 by American Society of Mechanical Engineers
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## Figures

Figure 1

ℏ-curves: (a) For two-dimensional stagnation flow and (b) for axisymmetric stagnation flow

Figure 2

Effects of thermal slip parameter β on −θ′(0) (ℏ=−0.5, Pr=7) for two-dimensional flow

Figure 3

Effects of thermal slip parameter β on −θ′(0)(ℏ=−0.5) for axisymmetric flow at Pr=7

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