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Research Papers: Porous Media

Magnetohydrodynamic Mixed-Convective Flow and Heat and Mass Transfer Past a Vertical Plate in a Porous Medium With Constant Wall Suction

[+] Author and Article Information
O. D. Makinde

Faculty of Engineering, Cape Peninsula University of Technology, P. O. Box 652, Cape-Town 8000, South Africadmakinde@yahoo.com

P. Sibanda1

School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Scottsville, Pietermaritzburg 3209, South Africasibandap@ukzn.ac.za

1

Corresponding author.

J. Heat Transfer 130(11), 112602 (Sep 03, 2008) (8 pages) doi:10.1115/1.2955471 History: Received December 11, 2007; Revised March 11, 2008; Published September 03, 2008

The problem of steady laminar hydromagnetic heat transfer by mixed convection flow over a vertical plate embedded in a uniform porous medium in the presence of a uniform normal magnetic field is studied. Convective heat transfer through porous media has wide applications in engineering problems such as in high temperature heat exchangers and in insulation problems. We construct solutions for the free convection boundary-layer flow equations using an Adomian–Padé approximation method that in the recent past has proven to be an able alternative to the traditional numerical techniques. The effects of the various flow parameters such as the Eckert, Hartmann, and Schmidt numbers on the skin friction coefficient and the concentration, velocity, and temperature profiles are discussed and presented graphically. A comparison of our results with those obtained using traditional numerical methods in earlier studies is made, and the results show an excellent agreement. The results demonstrate the reliability and the efficiency of the Adomian–Padé method in an unbounded domain.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Variation of the dimensionless velocity profiles along the plate with increasing Schmidt numbers when Gr=Gm=1, α=Ec=K=M=1, and P=0.71

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Figure 2

Variation of the dimensionless velocity profiles with increasing magnetic field strength when Gr=Gm=0.1, α=Ec=K=1, P=0.71, and Sc=0.60

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Figure 3

The effect of surface porosity on the velocity profiles when Gr=Gm=0.1, α=1, Ec=M=1, P=0.71, and Sc=0.60

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Figure 4

Variation of the velocity profiles for increasing Grashof numbers when Gm=0.1, α=1, Ec=K=M=1, P=0.71, and Sc=0.60

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Figure 5

Variation of velocity profiles with mass transfer Grashof numbers when Gr=0.1, α=Ec=K=M=1, P=0.71, and Sc=0.60

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Figure 6

Variation of boundary-layer temperature profiles with increasing Eckert numbers when Gr=Gm=1, α=K=M=1, P=0.71, and Sc=0.60

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Figure 7

Variation of temperature profiles with increasing magnetic field strength when Gr=Gm=1, α=K=Ec=1, P=0.71, and Sc=0.60

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Figure 8

The variation of the boundary-layer temperature profiles with increasing heat absorption when Gr=Gm=0.1, M=K=Ec=1, P=0.71, and Sc=0.60

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Figure 9

The variation of the temperature profiles with increasing porosity when Gr=Gm=0.1, α=Ec=M=1, P=0.71, and Sc=0.60

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Figure 10

Variation of the temperature profiles with increasing solutal Grashof numbers when Gr=0.1, M=α=Ec=K=1, P=0.71, and Sc=0.60

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Figure 11

Variation of species concentration profiles with increasing Schmidt numbers when Gr=Gm=0.1, M=α=Ec=K=1, and P=0.71

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