@Article{fdmp.2014.010.083,
AUTHOR = {Imen  Mejri, Ahmed  Mahmoudi, Mohamed Ammar  Abbassi, Ahmed  Omri},
TITLE = {MHD Natural Convection in a Nanofluid-filled Enclosure with Non-uniform Heating on Both Side Walls},
JOURNAL = {Fluid Dynamics \& Materials Processing},
VOLUME = {10},
YEAR = {2014},
NUMBER = {1},
PAGES = {83--114},
URL = {http://www.techscience.com/fdmp/v10n1/24556},
ISSN = {1555-2578},
ABSTRACT = {This study examines natural convection in a square enclosure filled with a water-Al<sub>2</sub>O<sub>3</sub> 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<sup>3</sup> to 10<sup>6</sup>, Hartmann number from Ha=0 to 90, phase deviation (<i>γ</i> =0, <i>π</i>/4, <i>π</i>/2, 3<i>π</i>/4 and <i>π</i>) 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 <i>γ</i> =<i>π</i>/2 and Ra=10<sup>5</sup> the magnetic field strengthens the effect produced by the presence of nanoparticles. For Ha=0, the most evident influence of nanoparticles is achieved at <i>γ</i> = 0 and <i>π</i>/4 for Ra=10<sup>4</sup> and 10<sup>5</sup> respectively.},
DOI = {10.3970/fdmp.2014.010.083}
}