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RESEARCH PAPERS: Radiative Heat Transfer

# Magnetohydrodynamic Flow Past a Vertical Plate With Radiative Heat Transfer

[+] Author and Article Information
S. Shateyi

Department of Mathematics, Bindura University of Science Education, Private Bag 1020, Bindura, Zimbabwesshateyi@yahoo.com

P. Sibanda

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

S. S. Motsa

Department of Mathematics, University of Swaziland, Private Bag 4, Kwaluseni, Swazilandsandile@science.uniswa.ac.sz

J. Heat Transfer 129(12), 1708-1713 (Apr 04, 2007) (6 pages) doi:10.1115/1.2767750 History: Received November 01, 2006; Revised April 04, 2007

## Abstract

The problem of steady, laminar, magnetohydrodynamic flow past a semi-infinite vertical plate is studied. The primary purpose of this study was to characterize the effects of thermal radiative heat transfer, magnetic field strength, and Hall currents on the flow properties. The governing nonlinear coupled differential equations comprising the laws of mass, linear momentum, and energy modified to include magnetic and radiative effects were solved numerically. The effects of the Hall current, the Hartmann number, and the radiative parameter on the velocity and temperature profiles are presented graphically. Large Hall currents and radiation effects cause the fluid to heat up and the velocity to increase in the lateral direction but decrease in the tangential direction. This study showed inter alia that reducing Hall currents and increasing the strength of the magnetic field lead to a reduction in the temperature and, consequently, in the thermal boundary layer, and so confirming that heat transfer mitigation through magnetic control is possible.

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Copyright © 2007 by American Society of Mechanical Engineers
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## Figures

Figure 1

The distribution of (a) tangential and (b) lateral velocities in the vicinity of a vertical plate as a function of increasing magnetic field strength for m=1, Pr=0.71, and N=1

Figure 2

The variation of temperature with (a) increasing radiation and (b) increasing magnetic field strength for m=1 and Pr=0.71

Figure 3

The variation of (a) tangential and (b) lateral velocity distributions with increasing Hall parameter values for M=1, Pr=0.71, and N=1

Figure 4

The temperature distribution (a) without radiation effects and (b) with radiation for M=1 and Pr=0.71

Figure 5

The temperature distribution for (a) m<1 and (b) m⩾1 for M=1, Pr=0.71, and N=1

Figure 6

The variation of the temperature distribution with increasing Prandtl numbers (a) without radiation and (b) with radiation

Figure 7

The variation of temperature with Hall parameter (a) M=1 and (b) M=2, for Pr=0.71 and N=1

Figure 8

The variation of (a) tangential velocity and (b) lateral velocity distributions with increasing radiation. The tangential velocity decreases with radiation, while the tangential velocity initially increases before reducing sharply to zero.

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