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Research Papers: Fundamental Issues and Canonical Flows

Analytic Solution for the Magnetohydrodynamic Rotating Flow of Jeffrey Fluid in a Channel

[+] Author and Article Information
T. Hayat

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

M. Awais1

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

S. Asghar

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

Awatif A. Hendi

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

1

Corresponding author.

J. Fluids Eng 133(6), 061201 (Jun 15, 2011) (7 pages) doi:10.1115/1.4004300 History: Received January 19, 2011; Revised May 16, 2011; Published June 15, 2011; Online June 15, 2011

In this work, the homotopy analysis method is applied to enable discussion of the three-dimensional shrinking flow of Jeffrey fluid in a rotating system. The fluid is electrically conducting in the presence of a uniform applied magnetic field, and the induced magnetic field is neglected. The similarity transformations reduce the nonlinear partial differential equations into ordinary differential equations. The convergence of the obtained solutions is checked. Graphs are plotted and discussed for various parameters of interest.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 2

ℏ curves for functions f and g at the 20th order of approximation

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Figure 3

Residual error in f at the 15th order of approximation

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Figure 4

Residual error in g at the 15th order of approximation

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Figure 5

Influence of S on f

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Figure 6

Influence of S on g

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Figure 7

Influence of M on f

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Figure 8

Influence of M on g

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Figure 9

Influence of K on f

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Figure 10

Influence of K on g

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Figure 11

Influence of β on f

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Figure 12

Influence of β on g

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