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Article Citation - WoS: 8Citation - Scopus: 12Drbem Solution of Free Convection in Porous Enclosures Under the Effect of a Magnetic Field(Pergamon-elsevier Science Ltd, 2013) Pekmen, B.; Tezer-Sezgin, M.The dual reciprocity boundary element method (DRBEM) is applied for solving steady free convection in special shape enclosures filled with a fluid saturated porous medium under the effect of a magnetic field. The left and right walls are maintained at constant or different temperatures while the top and bottom walls are kept adiabatic. The effect of the external magnetic field on the flow and temperature behavior is visualized with different Rayleigh numbers Ra, Hartmann numbers Ha and inclination angle phi. The boundary only nature of DRBEM results in considerably small computational cost in obtaining numerical solution. The results are in good qualitative agreement with the available numerical results in the literature. It is found that the increase in the strength of the magnetic field causes the suppression on the motion of the fluid which points to the conductive heat transfer. (C) 2012 Elsevier Ltd. All rights reserved.Article Citation - WoS: 43Citation - Scopus: 48Mhd Flow and Heat Transfer in a Lid-Driven Porous Enclosure(Pergamon-elsevier Science Ltd, 2014) Pekmen, B.; Tezer-Sezgin, M.The mixed convection flow in a lid-driven square cavity filled with a porous medium under the effect of a magnetic field is studied numerically using the dual reciprocity boundary element method (DRBEM) with Houbolt time integration scheme. Induced magnetic field is also taken into consideration in terms of magnetic potential in solving magnetohydrodynamic (MHD) flow and temperature equations. Effects of the characteristic dimensionless parameters as Darcy (Da), Magnetic Reynolds (Rem), Grashof (Gr) and Hartmann (Ha) numbers, on the flow and heat transfer in the cavity are investigated at the final steady-state. It is found that the decrease in the permeability of porous medium and the increase in the intensity of the applied magnetic field cause the fluid to flow slowly. The convective heat transfer is reduced with an increase in Hartmann number. Magnetic potential circulates throughout the cavity with high magnetic permeability of the fluid. The combination of DRBEM with the Houbolt scheme has the advantage of using considerably small number of boundary elements and large time increments which results in small computational cost for solving the mixed convection MHD flow in a porous cavity. (C) 2013 Elsevier Ltd. All rights reserved.
