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Simulations are performed to examine magnetohydrodynamic convection of an Ag–water nanofluid within an inclined enclosure containing a center heater oriented in different directions. In performing the analysis, the left and right vertical walls are assumed to be isothermally cooled, while the bottom wall is isothermally heated and the top wall is adiabatic. The governing equations are solved numerically using the finite-volume method. The simulations focus on the effects of the Rayleigh number (Ra = 104, 105 and 106), Hartmann number (Ha = 0, 25 and 50), inclination angle (γ = 0°, 45°, 90° and 135°), orientation of heater (horizontal or vertical) and internal heat generation (S = 0, 10 and 20) on the convective heat transfer performance within the enclosure. The results show that the heat transfer performance is dominated by the inclination angle of the enclosure and the Hartmann number. In particular, the heat transfer rate reduces as inclination angle and Hartmann number increase. The maximum heat transfer performance is obtained with a vertical center heater, an inclination angle of γ = 45° and a Rayleigh number of Ra = 106. It is additionally shown that the heat transfer performance improves with an increasing volume fraction of nanoparticles.

This present numerical study explores the MHD mixed convective flow and heat transfer analysis in a square porous enclosure filled with nanofluid having center thin heater. The left and right walls of the enclosure are maintained at temperature T . The bottom wall is c considered with a constant heat source whereas the remaining part of bottom wall and top wall are kept adiabatic. The finite volume method based on SIMPLE algorithm is used to solve the governing equations in order to investigate the effect of heater length, Hartmann, Richardson, and Darcy numbers on the fluid-flow and heat transfer characteristics inside the enclosure. A set of graphical results are presented in terms of streamlines, isotherms, mid height velocity profiles and average Nusselt numbers. The results reveal that heat transfer rate increases as heater length increases for increasing Darcy and Richardson numbers. Among the two positions of heaters, larger enhancement of heat transfer is obtained for horizontal heater of maximum length. It is observed that, Hartmann number is a good control parameter for heat transfer in fluid-flow through porous medium in enclosure. Moreover, Ag-water nanofluid has greater merit to be used for heat transfer enhancement. This problem may be occurred in designing cooling system for electronic equipment to maximize the efficiency with active and secured operational conditions.