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

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 applie...

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Bibliographic Details
Published in:Fluid dynamics & materials processing 2014-01, Vol.10 (1), p.83
Main Authors: Mejri, Imen, Mahmoudi, Ahmed, Mohamed Ammar Abbassi, Ahmed, Omri
Format: Article
Language:English
Subjects:
Aluminum oxide
Computational fluid dynamics
Convection heating
Enclosures
Free convection
Hartmann number
Magnetic fields
Magnetism
Nanofluids
Nanoparticles
Phase deviation
Rayleigh number
Walls
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Summary: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.
ISSN:1555-256X
1555-2578
DOI:10.3970/fdmp.2014.010.083