@Article{fdmp.2015.011.171,
AUTHOR = {Imen  Mejri, Ahmed  Mahmoudi},
TITLE = {Analysis of Natural Convection in a Nanofluid-Filled Open Cavity with a Sinusoidal Boundary Condition in the Presence of a Magnetic Field},
JOURNAL = {Fluid Dynamics \& Materials Processing},
VOLUME = {11},
YEAR = {2015},
NUMBER = {2},
PAGES = {171--195},
URL = {http://www.techscience.com/fdmp/v11n2/24599},
ISSN = {1555-2578},
ABSTRACT = {This paper examines natural convection in an open cavity with a sinusoidal thermal boundary condition. The cavity is filled with a water-Al<sub>2</sub>O<sub>3</sub> nanofluid and subjected to a magnetic field. The Lattice Boltzmann method (LBM) is applied to solve the coupled equations of flow and temperature. The study has been carried out considering parameters in the following ranges: Rayleigh number of the base fluid, Ra = 10<sup>3</sup> to 10<sup>6</sup>, Hartmann number varied from Ha = 0 to 60, phase deviation γ = 0, π4, π2, 3 π4 and π and solid volume fraction of nanoparticles between π = 0 and 6%. Results show that the heat transfer rate decreases with the Hartmann number and increases with Rayleigh number. At Ha = 30 and Ra = 10<sup>3</sup> - 10<sup>5</sup>, for all phase deviations the addition of nanoparticles increases the heat transfer rate. Also, at low Rayleigh number (Ra ≤ 10<sup>4</sup>) the highest heat transfer rate is obtained for γ = π2.},
DOI = {10.3970/fdmp.2015.011.171}
}