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The current analysis is carried out for the Al2O3 nanoparticles transportation through a permeable cubic geometry under the influence of the magnetic forces with a hot cubic object. The physical phenomenon is presented by the 3D Lattice Boltzmann Method (LBM). The impact of Brownian motion in the Al2O3-H2O nanofluids is considered. The nanoparticles transportation under the buoyancy and Lorentz forces, and the permeability impact are studied with LBM. Numerical simulations are performed for different values of magnetic number, Darcy number and Rayleigh number. Results obtained reveal the efficient conduction with higher Ha values. The larger values of Da suggest reduction in the thickness of the boundary layer. The average Nusselt number ave Nu enhances with higher values of the permeability. A comparative graphical survey for the augmentation of productivity was scrutinized. The efficiency of the implemented technique is demostrated in table 4, where the Nusselt number is tabulated for distinct numbers of Gr and Ha, and are compared with the available literature.
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Shah et al. (2021) studied this question.
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