Imen Mejri and Ahmed Mahmoudi and Mohamed A. Abbassi and Ahmed Omri
Lattice Boltzmann Simulation of MHD Natural Convection in a NanofluidFilled Enclosure with NonUniform Heating on Both Side Walls
75 - 91
2014
8
1
International Journal of Physical and Mathematical Sciences
https://publications.waset.org/pdf/9997289
https://publications.waset.org/vol/85
World Academy of Science, Engineering and Technology
This paper examines the natural convection in a square enclosure filled with a waterAl2O3 nanofluid and is subjected to a magnetic field. The side walls of the cavity have spatially varying sinusoidal temperature distributions. The horizontal walls are adiabatic. Lattice Boltzmann method (LBM) is applied to solve the coupled equations of flow and temperature fields. This study has been carried out for the pertinent parameters in the following ranges Rayleigh number of the base fluid, Ra103 to 106, Hartmann number varied from Ha0 to 90, phase deviation (&gamma;0, &pi;4, &pi;2, 3&pi;4 and &pi;) and the solid volume fraction of the nanoparticles between &Oslash; 0 and 6. The results show that the heat transfer rate increases with an increase of the Rayleigh number but it decreases with an increase of the Hartmann number. For &gamma;&pi;2 and Ra105 the magnetic field augments the effect of nanoparticles. At Ha0, the greatest effects of nanoparticles are obtained at &gamma; 0 and &pi;4 for Ra104 and 105 respectively.
Open Science Index 85, 2014