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Analysis of Natural Convection in a Nanofluid-Filled Open Cavity with a Sinusoidal Boundary Condition in the Presence of a Magnetic Field

Imen Mejri1,2, Ahmed Mahmoudi1
Unité de Recherche Matériaux, Energie et Energies Renouvelables (MEER), Faculté des Sciencesde Gafsa, B.P.19, Zarroug, Gafsa 2112, Tunisie
Corresponding Author: Imen Mejri, E-mail: im.mejri85@yahoo.fr
* Corresponding Author: Imen Mejri, E-mail: Email:

Fluid Dynamics & Materials Processing 2015, 11(2), 171-195. https://doi.org/10.3970/fdmp.2015.011.171

Abstract

This paper examines natural convection in an open cavity with a sinusoidal thermal boundary condition. The cavity is filled with a water-Al2O3 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 = 103 to 106, 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 = 103 - 105, for all phase deviations the addition of nanoparticles increases the heat transfer rate. Also, at low Rayleigh number (Ra ≤ 104) the highest heat transfer rate is obtained for γ = π2.

Keywords

Lattice Boltzmann Method, Magnetic field, Natural convection, Nanofluid, Phase deviation

Cite This Article

Mejri, I., Mahmoudi, A. (2015). Analysis of Natural Convection in a Nanofluid-Filled Open Cavity with a Sinusoidal Boundary Condition in the Presence of a Magnetic Field. FDMP-Fluid Dynamics & Materials Processing, 11(2), 171–195.



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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