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Combined Effects of Joule Heating and Viscous Dissipation on Magnetohydrodynamic Flow Past a Permeable, Stretching Surface With Free Convection and Radiative Heat Transfer

[+] Author and Article Information
Chien-Hsin Chen

Department of Mechanical Design Engineering, National Formosa University, Huwei, Yunlin 632, Taiwanchchen@nfu.edu.tw

J. Heat Transfer 132(6), 064503 (Apr 01, 2010) (5 pages) doi:10.1115/1.4000946 History: Received November 10, 2008; Revised December 06, 2009; Published April 01, 2010; Online April 01, 2010

The combined effects of Joule heating and viscous dissipation on the momentum and thermal transport are studied for the Magnetohydrodynamic (MHD) flow over a stretching sheet. Effects of free convection, thermal radiation, and surface suction/blowing on the flow and heat transfer characteristics are also examined. Results demonstrate that the reduction in heat transfer due to Joule and viscous heating is more pronounced at a higher Prandtl number. The Eckert number changes appreciably the velocity profile as the buoyancy effect becomes significant, while the Eckert number has an unimpressive effect on the velocity when the free convection is week. Increasing the radiation parameter will increase the temperature profile noticeably, and thus reduce the heat transfer rate accordingly. The heat transfer is enhanced markedly by imposing surface fluid suction, while the opposite trend is observed for blowing.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Combined effects of Joule and viscous heating on (a) variations of −θ′(ξ,0) with ξ and (b) the temperature profiles at ξ=1 for various values of Ec and Pr(l=2, M=1, R=0.5, fw=0)

Grahic Jump Location
Figure 2

Combined effects of Joule and viscous heating on (a) velocity profiles at ξ=5 and (b) variations of −f″(ξ,0) with ξ for various values of Ec and Pr(l=2, M=1, R=0.5, fw=0)

Grahic Jump Location
Figure 3

Influence of (a) thermal radiation parameter and (b) suction/injection parameter, on the temperature profiles for Pr=1, l=2, M=1, and Ec=0.1

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