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Research Papers: Fundamental Issues and Canonical Flows

Soret and Dufour Effects on the Stagnation-Point Flow of a Micropolar Fluid Toward a Stretching Sheet

[+] Author and Article Information
T. Hayat

Department of Mathematics, Quaid-I-Azam University, P.O. Box 45320, Islamabad 44000, Pakistan; and Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

M. Mustafa1

Department of Mathematics, Quaid-I-Azam University, P.O. Box 45320, Islamabad 44000, Pakistanmeraj_mm@hotmail.com

S. Obaidat

Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

1

Corresponding author.

J. Fluids Eng 133(2), 021202 (Feb 22, 2011) (9 pages) doi:10.1115/1.4003505 History: Received November 12, 2010; Revised January 19, 2011; Published February 22, 2011; Online February 22, 2011

This communication reports the heat and mass transfer analysis in the stagnation-point flow toward a stretching sheet. An incompressible micropolar fluid takes into account the diffusion-thermo- (Dufour) and thermal-diffusion (Soret) effects. The arising nonlinear differential system is solved by homotopy analysis method. Convergence of the obtained homotopy solutions is clearly justified. Special emphasis has been given to various physical parameters through graphs and tables. It is noticed that fields are influenced appreciably with the variation of embedding parameters. A comparison of the present results with the existing numerical solution is discussed in a limiting sense.

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Copyright © 2011 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

The ℏ-curves of f″(0), g′(0), θ′(0), and ϕ′(0) at 20th-order of approximations

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Figure 2

Effect of K on f′

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Figure 3

Effect of A on f′

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Figure 4

Effect of K on g

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Figure 5

Effect of A on g

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Figure 6

Effect of A on θ

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Figure 7

Effect of Pr on θ

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Figure 8

Effect of Df on θ

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Figure 9

Effect of A on ϕ

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Figure 10

Effect of Pr on ϕ

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Figure 11

Effect of Le on ϕ

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Figure 12

Effect of Sr on ϕ

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