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TECHNICAL PAPERS

On the Analytic Solution of Magnetohydrodynamic Flow of a Second Grade Fluid Over a Shrinking Sheet

[+] Author and Article Information
T. Hayat

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

Z. Abbas1

Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistanza-qau@yahoo.com

M. Sajid

Theoretical Plasma Physics Division, PINSTECH, P.O. Nilore, Islamabad 44000, Pakistan

1

Corresponding author.

J. Appl. Mech 74(6), 1165-1171 (Jan 30, 2007) (7 pages) doi:10.1115/1.2723820 History: Received November 12, 2006; Revised January 30, 2007

In this study, we derive an analytical solution describing the magnetohydrodynamic boundary layer flow of a second grade fluid over a shrinking sheet. Both exact and series solutions have been determined. For the series solution, the governing nonlinear problem is solved using the homotopy analysis method. The convergence of the obtained solution is analyzed explicitly. Graphical results have been presented and discussed for the pertinent parameters.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 5

Effects of suction S on f′ at ℏ=−0.8

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Figure 6

Effects of Hartman number M on f at ℏ=−0.8

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Figure 7

Effects of Hartman number M on f′ at ℏ=−0.8

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Figure 8

Effects of second grade parameter K on f at ℏ=−0.8

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Figure 9

Effects of second grade parameter K on f′ at ℏ=−0.8

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Figure 1

Flow model for the problem

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Figure 2

ℏ curves for 30th order of approximation

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Figure 3

Comparison of HAM and exact solutions

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Figure 4

Effects of suction S on f at ℏ=−0.8

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