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Research Papers: Heat and Mass Transfer

Magnetohydrodynamic Convective Heat and Mass Transfer Flow Due to a Rotating Disk With Thermal Diffusion Effect

[+] Author and Article Information
Kh. Abdul Maleque

Department of Mathematics, American International University-Bangladesh, House 53/B, 21 Kemal Ataturk Avenue, Banani, Dhaka-1213, Bangladeshmaleque@aiub.edu

J. Heat Transfer 131(8), 082001 (Jun 01, 2009) (8 pages) doi:10.1115/1.3089555 History: Received April 08, 2008; Revised November 18, 2008; Published June 01, 2009

Considering the importance of mass transfer in a magnetohydrodynamic (MHD) convective flow, a numerical solution is obtained for a steady three-dimensional MHD convective mass transfer flow in an incompressible fluid due to a rotating disk with thermal diffusion. The governing partial differential equations of the MHD convective mass transfer flow are reduced to nonlinear ordinary differential equations by introducing suitable similarity transformations. The nonlinear similarity equations are then solved numerically by Nachtsheim–Swigert iteration technique. The results of the numerical solution are then presented graphically in the form of velocity, temperature, and concentration profiles. The corresponding skin-friction coefficients, the Nusselt number, and the Sherwood number are also calculated and displayed in tables showing the effects of various parameters on them. A good comparison between the present numerical predictions and the previously published data (Sparrow, and Gregg, 1959, “Heat Transfer From a Rotating Disk to Fluids of Any Prandtl Number,” ASME J. Heat Transfer, 8, pp. 249–251; Benton, 1966, “On the Flow Due to a Rotating Disc,” J. Fluid Mech., 24, pp. 781–800) has been achieved.

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References

Figures

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Figure 1

The flow configuration and the coordinate system

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Figure 2

Radial velocity profiles for different step sizes

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Figure 3

Effect of M on the radial velocity profiles

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Figure 4

Effect of M on the tangential velocity profiles

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Figure 5

Effect of M on the axial velocity profiles

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Figure 6

Effect of M on the temperature profiles

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Figure 7

Effect of M on the concentration profiles

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Figure 8

Effect of Pr on the temperature profiles

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Figure 9

Effect of Sc on the concentration profiles

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Figure 10

Effect of So on the concentration profiles

Tables

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