Numerical and Theoretical Modeling of Natural Convection of Nanofluids in a Vertical Rectangular Cavity Investigate the Effects of a Magnetic Field

F. El Khaoudi; Kamal Gueraoui; M. Sammouda; O. El Fatmi

doi:10.15866/ireme.v8i6.3954

Numerical and Theoretical Modeling of Natural Convection of Nanofluids in a Vertical Rectangular Cavity Investigate the Effects of a Magnetic Field

F. El Khaoudi⁽¹⁾, Kamal Gueraoui^(2*), M. Sammouda⁽³⁾, O. El Fatmi⁽⁴⁾

^(*) Corresponding author

Authors' affiliations

DOI: https://doi.org/10.15866/ireme.v8i6.3954

Abstract

In this work, the stencil adaptive method is applied to investigate the effects of a magnetic field on mixed convection of Al2O3-water nanofluid in a vertical rectangular enclosure filled. The enclosure is bounded by two isothermal vertical walls at temperatures Th and Tc and by two horizontal adiabatic walls. A uniform magnetic field is applied in a horizontal direction. The main objective of this study is to investigate the influence of several pertinent parameters in the following ranges: Rayleigh number of the base fluid, Hartmann number and the solid volume fraction of the nanoparticles on the heat transfer performance of the nanofluid. Based on the obtained numerical results, the heat transfer rate increases with an increase of the Rayleigh number but, it decreases with an increase of the Hartmann number. Also, the results indicate that the heat transfer of the nanoﬂuid could be either enhanced or mitigated with respect to that of the base fluid depending on the Rayleigh number.
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Keywords

Magnetic Field; Natural Convection; Nanofluid; Numerical Modeling; Finite Volume Method

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