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Research Papers: Forced Convection

Heat and Mass Transfer on the MHD Fluid Flow Due to a Porous Rotating Disk With Hall Current and Variable Properties

[+] Author and Article Information
Mustafa Turkyilmazoglu

Department of Mathematics, Hacettepe University, 06532 Beytepe, Ankara, Turkeyturkyilm@hacettepe.edu.tr

J. Heat Transfer 133(2), 021701 (Nov 02, 2010) (6 pages) doi:10.1115/1.4002634 History: Received January 19, 2010; Revised September 24, 2010; Published November 02, 2010; Online November 02, 2010

The steady magnetohydrodynamics (MHD) laminar compressible flow of an electrically conducting fluid on a porous rotating disk is considered in the present paper. The governing equations of motion are reduced to a set of nonlinear differential equations by means of similarity transformations. The fluid properties are taken to be strong functions of temperature and Hall current that also readily accounts for the viscous dissipation and Joule heating terms. Employing a highly accurate spectral numerical integration scheme, the effects of viscosity, thermal conductivity, Hall current, magnetic field, suction/injection, viscous dissipation, and Joule heating on the considered flow are examined. The quantities of particular physical interest, such as the torque, the wall shear stresses, the vertical suction velocity, and the rate of heat transfer are calculated and discussed.

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Figures

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Figure 1

Configuration of the flow and geometrical coordinates

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Figure 2

(a) Effect of γ on the radial velocity profiles, (b) effect of γ on the azimuthal velocity profiles, (c) effect of γ on the minus axial velocity profiles, and (d) effect of γ on the temperature profiles, for M=m=0.5, s=−1, Pr=0.64, and Ec=0

Grahic Jump Location
Figure 3

(a) Effect of M on the radial velocity profiles, (b) effect of M on the azimuthal velocity profiles, (c) effect of M on the axial velocity profiles, and (d) effect of M on the temperature profiles, for m=γ=0.1, s=−1, Pr=0.64, and Ec=0, the straight line corresponding to M=0, the dotted line to M=0.5 and the dashed line to M=1

Grahic Jump Location
Figure 4

(a) Effect of m on the radial velocity profiles, (b) effect of m on the azimuthal velocity profiles, (c) effect of m on the axial velocity profiles, and (d) effect of m on the temperature profiles, for M=0.5, γ=0.1, s=−1, Pr=0.64, and Ec=0, the dotted line corresponding to m=−2 and the dashed line to m=−5

Grahic Jump Location
Figure 5

Effect of Ec on the temperature distribution for Pr=0.64 and s=−1 corresponding to: (a) M=m=γ=0, (b) M=m=0.1 and γ=0, (c) M=m=0.1 and γ=0.5, and (d) M=m=0.1 and γ=−0.5

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