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

Mohammad H. Yazdi, Shahrir Abdullah, Ishak Hashim and Kamaruzzaman Sopian
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Mohammad H. Yazdi: Department of Mechanical & Materials Engineering, Faculty of Engineering & Built Environment, Universiti Kebangsaan Malaysia, 43600, UKM, Bangi, Selangor, Malaysia
Shahrir Abdullah: Department of Mechanical & Materials Engineering, Faculty of Engineering & Built Environment, Universiti Kebangsaan Malaysia, 43600, UKM, Bangi, Selangor, Malaysia
Ishak Hashim: School of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, 43600, UKM, Bangi, Selangor, Malaysia
Kamaruzzaman Sopian: Solar Energy Research Institute (SERI), Universiti Kebangsaan Malaysia, 43600, UKM, Bangi, Selangor, Malaysia

Energies, 2011, vol. 4, issue 12, 1-22

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 (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2011
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