In this paper, we present a numerical study of turbulent natural convection
in a square cavity differentially heated and filled with nanofluid and
subjected to an inclined magnetic field. The standard k-? model was used as
the turbulence model. The transport equations were discretized by the finite
volume method using the SIMPLE algorithm. The influence of the Rayleigh
number, the Hartmann number, the orientation angle of the applied magnetic
field, the type of nanoparticles as well as the volume fraction of
nanoparticles, on the hydrodynamic and thermal characteristics of the
nanofluid was illustrated and discussed in terms of streamlines, isotherms
and mean Nusselt number. The results obtained show that the heat transfer
rate increases with increasing Rayleigh number and orientation angle of the
magnetic field but it decreases with increasing Hartmann number. In
addition, heat transfer improves with increasing volume fraction and with
the use of Al2O3 nanoparticles.