TY - EJOU
AU - Mejri, Imen
AU - Mahmoudi, Ahmed
AU - Abbassi, Mohamed Ammar
AU - Omri, Ahmed
TI - MHD Natural Convection in a Nanofluid-filled Enclosure with Non-uniform Heating on Both Side Walls
T2 - Fluid Dynamics \& Materials Processing
PY - 2014
VL - 10
IS - 1
SN - 1555-2578
AB - This study examines natural convection in a square enclosure filled with a water-Al_{2}O_{3} nanofluid and subjected to a magnetic field. The side walls of the cavity have spatially varying sinusoidal temperature distributions. The horizontal walls are adiabatic. A Lattice Boltzmann method (LBM) is applied to solve the governing equations for fluid velocity and temperature. The following parameters and related ranges are considered: Rayleigh number of the base fluid, from Ra=10^{3} to 10^{6}, Hartmann number from Ha=0 to 90, phase deviation (*γ* =0, *π*/4, *π*/2, 3*π*/4 and *π*) and solid volume fraction of the nanoparticles between ø = 0 and 6%. The results show that the heat transfer rate increases with an increase in the Rayleigh number but it decreases with an increase in the Hartmann number. For *γ* =*π*/2 and Ra=10^{5} the magnetic field strengthens the effect produced by the presence of nanoparticles. For Ha=0, the most evident influence of nanoparticles is achieved at *γ* = 0 and *π*/4 for Ra=10^{4} and 10^{5} respectively.
KW - Lattice Boltzmann Method
KW - Natural convection
KW - nanofluid
KW - magnetic field
KW - Sinusoidal temperature distribution
DO - 10.3970/fdmp.2014.010.083