Energies 2011, 4(12), 2273-2294; doi:10.3390/en4122273
Article

Effects of Viscous Dissipation on the Slip MHD Flow and Heat Transfer past a Permeable Surface with Convective Boundary Conditions

Mohammad H. Yazdi 1,2,* email, Shahrir Abdullah 1 email, Ishak Hashim 3 email and Kamaruzzaman Sopian 2 email
1 Department of Mechanical & Materials Engineering, Faculty of Engineering & Built Environment, Universiti Kebangsaan Malaysia, 43600, UKM, Bangi, Selangor, Malaysia 2 Solar Energy Research Institute (SERI), Universiti Kebangsaan Malaysia, 43600, UKM, Bangi, Selangor, Malaysia 3 School of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, 43600, UKM, Bangi, Selangor, Malaysia
* Author to whom correspondence should be addressed.
Received: 28 October 2011; in revised form: 23 November 2011 / Accepted: 14 December 2011 / Published: 20 December 2011
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Abstract: This paper presents an analysis of the energy exchange resulting from a 2D steady magnetohydrodynamics (MHD) flow past a permeable surface with partial slip in the presence of the viscous dissipation effect under convective heating boundary conditions. A magnetic field can effectively control the motion of an electrically conducting fluid in micro scale systems, which can be applied for fluid transportation. Local similarity solutions for the transformed governing equations are obtained, and the reduced ordinary differential equations solved numerically via an explicit Runge-Kutta (4, 5) formula, the Dormand-Prince pair and shooting method, which is valid for fixed positions along the surface. The effects of various physical parameters, such as the magnetic parameter, the slip coefficient, the suction/injection parameter, the Biot number, the Prandtl number and the Eckert number, on the flow and heat transfer characteristics are presented graphically and discussed. The results indicate that the heat transfer rate increases with the increase in Biot number, slip coefficient, suction and magnetic parameter, whereas it decreases with the increase in Eckert number and injection.
Keywords: heat transfer; viscous dissipation; partial slip; MHD; permeable surface

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MDPI and ACS Style

Yazdi, M.H.; Abdullah, S.; Hashim, I.; Sopian, K. Effects of Viscous Dissipation on the Slip MHD Flow and Heat Transfer past a Permeable Surface with Convective Boundary Conditions. Energies 2011, 4, 2273-2294.

AMA Style

Yazdi MH, Abdullah S, Hashim I, Sopian K. Effects of Viscous Dissipation on the Slip MHD Flow and Heat Transfer past a Permeable Surface with Convective Boundary Conditions. Energies. 2011; 4(12):2273-2294.

Chicago/Turabian Style

Yazdi, Mohammad H.; Abdullah, Shahrir; Hashim, Ishak; Sopian, Kamaruzzaman. 2011. "Effects of Viscous Dissipation on the Slip MHD Flow and Heat Transfer past a Permeable Surface with Convective Boundary Conditions." Energies 4, no. 12: 2273-2294.

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