In this study the lattice Boltzmann method is applied to investigate the effect of magnetic field on natural
convection heat transfer of Al2O3–water nanofluid in a two-dimensional horizontal annulus. In this
model, the effect of Brownian motion on the effective thermal conductivity is also considered. The
effective thermal conductivity and the effective viscosity of nanofluid are calculated by KKL (Koo–
Kleinstreuer–Li) correlation. The effect of nanoparticle volume fraction for the enhancement of heat
transfer was examined for several sets of values of Rayleigh and Hartmann numbers. Also, a correlation
of the Nusselt number with physical parameters is presented. The obtained results indicate that the value
of the maximum stream function decreases with increasing Hartmann number. Furthermore, we notice
that the Nusselt number has a direct relationship with the Rayleigh number; but quite the opposite is
true with the Hartmann number. The obtained results indicate that the Lattice Boltzmann method with
double-population is a powerful approach for the simulation of natural convection heat transfer in
nanofluids in regions with curved boundaries
کلید واژگان :
Lattice Boltzmann method Nanofluid Brownian motion Magnetic field Natural convection Triangular cylinder
