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MHD Natural Convection in a Nanofluid-filled Enclosure with Non-uniform Heating on Both Side Walls

Imen Mejri1,2, Ahmed Mahmoudi1, Mohamed Ammar Abbassi1, Ahmed Omri1
UR: Unité de Recherche Matériaux, Energie et Energies Renouvelables (MEER), Faculté des Sciences de Gafsa, B.P.19, Zarroug, Gafsa, 2112, Tunisie.
Corresponding Author. Email:; Tel: 00216 25345419.

Fluid Dynamics & Materials Processing 2014, 10(1), 83-114.


This study examines natural convection in a square enclosure filled with a water-Al2O3 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=103 to 106, Hartmann number from Ha=0 to 90, phase deviation (γ =0, π/4, π/2, 3π/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=105 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=104 and 105 respectively.


Lattice Boltzmann Method, Natural convection, nanofluid, magnetic field, Sinusoidal temperature distribution.

Cite This Article

Mejri, I., Mahmoudi, A., Abbassi, M. A., Omri, A. (2014). MHD Natural Convection in a Nanofluid-filled Enclosure with Non-uniform Heating on Both Side Walls. FDMP-Fluid Dynamics & Materials Processing, 10(1), 83–114.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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