MHD Free Convection in an Enclosure Loaded with Nanofluid and Partially Cross-heated

This paper digitally examines natural convection in a porous cavity laden with nanofluids. The influence of Brownian motion and thermophoresis on particle motion through the Buongiorno model is reviewed. The application of the Darcy-Brinkman model makes it possible to simulate the transfer of momentum under the effect of a horizontal magnetic field. Two segments located in the central parts of the left and bottom walls heat the cavity. The right wall is cooled at a constant temperature and the remaining surfaces of the cavity boundary are insulated. A computational code, designed on the principles of the finite volume method in conjunction with the SIMPLE algorithm, is employed to address the fundamental equations governing the system effectively. The numerical results are illustrated by presenting streamlines, isotherms, iso-concentrations and local and mean Nusselt numbers. The dimensionless parameters that change are the Rayleigh number 103 ≤ RT ≤ 106, the Darcy number 10-5 ≤ Da ≤ 10-2 the Hartmann number 0 ≤ Ha ≤ 100, the thermophoresis parameter 0.05 ≤ Nt ≤ 0.5 the Brownian motion parameter 0.05 ≤ Nb ≤ 0.5, and the buoyancy parameter 0.05 ≤ Nr ≤ 0.5. The increase in RT leads to an improvement in the heat transfer rate and an attenuation of the inhomogeneity of the distribution of nanoparticles in the cavity. A reverse tendency is observed by increasing the intensity of the magnetic field. Moreover, the parameters and exhibit a more significant impact on the Sherwood number than on the Nusselt number.