Lattice Boltzmann simulation of natural convection in a nano uid-lled inclined square cavity at presence of magnetic eld

In this paper, the eect of a magnetic eld on natural convection ow in ananouid-lled inclined square cavity has been analyzed by lattice boltzmann method(lbm). the cavity is lled with water and nanoparticles of copper at the presence of amagnetic eld. this study has been carried out for the pertinent parameters in the followingranges: the rayleigh number of the base uid, ra = 103 ?? 105, the volumetric fractionsof nanoparticles between 0 and 6% and inclined angle () of the cavity between  = ??60and 60 with interval of 30. the hartmann number varied from ha = 0 to 30, whilethe uniform magnetic eld is considered horizontally. results show that the heat transferis decreased by the increment of hartmann number for various rayleigh numbers andthe inclined angles. magnetic eld augments the eect of nanoparticles at high rayleighnumbers. negative inclined angles simultaneously decline heat transfer toward  = 0 andthe inuence of nanoparticle.