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Research Papers: Fundamental Issues and Canonical Flows

MHD Squeezing Flow of a Micropolar Fluid Between Parallel Disks

[+] Author and Article Information
T. Hayat

 Department of Mathematics, 45320 Quaid-I-Azam University, Islamabad 44000, Pakistan;  Faculty of Science, Department of Physics, King Saud University, P. O. Box. 1846, Riyadh 11328, Saudi Arabia

M. Nawaz1

 Department of Mathematics, 45320 Quaid-I-Azam University, Islamabad 44000, Pakistan e-mail: nawaz_d2006@yahoo.com Faculty of Science, Department of Physics, King Saud University, P. O. Box. 1846, Riyadh 11328, Saudi Arabia Department of Mathematics, COMSATS Institute of Information Technology, Chak Shahzad, Park Road, Islamabad 44000, Pakistan

Awatif A. Hendi, S. Asghar

 Department of Mathematics, 45320 Quaid-I-Azam University, Islamabad 44000, Pakistan e-mail: nawaz_d2006@yahoo.com Faculty of Science, Department of Physics, King Saud University, P. O. Box. 1846, Riyadh 11328, Saudi Arabia Department of Mathematics, COMSATS Institute of Information Technology, Chak Shahzad, Park Road, Islamabad 44000, Pakistan

1

Corresponding author.

J. Fluids Eng 133(11), 111206 (Nov 11, 2011) (10 pages) doi:10.1115/1.4005197 History: Received April 09, 2011; Accepted September 22, 2011; Published November 11, 2011; Online November 11, 2011

The squeezing flow of an incompressible micropolar fluid between two parallel infinite disks is investigated in the presence of a magnetic flied. An analysis of strong and weak interactions has been carried out. Similarity solutions are derived by homotopy analysis method. The variation of dimensionless velocities are sketched in order to see the influence of pertinent parameters. Skin friction coefficient and wall couple stress coefficient have been tabulated. In addition, the derived results are compared with the homotopy perturbation solution in a viscous fluid.

Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Physical model and coordinate system

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Figure 2

(a) ℏf curve for residual error of f(0.2); (b) ℏh curve for residual error of h(0.2)

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Figure 3

(a) ℏf curve for Δm off(η); (b) ℏh curve for Δm* of h(η)

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Figure 19

Influence of S on h(η)

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Figure 18

Influence of S on h(η)

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Figure 17

Influence of S on h(η)

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Figure 16

Influence of Re on h(η) when S<0

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Figure 15

Influence of Re on h(η) when S>0

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Figure 14

Influence of K on h(η) when S<0

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Figure 13

Influence of M on h(η) when S>0

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Figure 12

Influence of K on h(η) when S<0.

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Figure 11

Influence of K on h(η) when S>0

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Figure 10

Influence of M on f(η) when S<0

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Figure 9

Influence of M on f(η) when S>0

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Figure 8

Influence of M on f(η)

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Figure 7

Influence of K on f(η)

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Figure 6

Influence of K on f(η) when S < 0

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Figure 5

Influence of K on f'(η) when S > 0

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Figure 4

Comparison between HAM solution (solid lines) and HPM solution [33] (filled circles) when Re=0.5,K=0 and S=0.1

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