Lattice Boltzmann Simulation of Magnetic Field Direction Effect on Natural Convection of Nanofluid-Filled Cavity

Page:

9-14

DOI:

https://doi.org/10.18280/ijht.320102

OPEN ACCESS

Abstract:

This paper examines the natural convection in a square enclosure filled with a water-Al $_{2} \mathrm{O}_{3}$ nanofluid and is subjected to a magnetic field. The bottom wall is uniformly heated and vertical walls are linearly heated whereas the top wall is well insulated. 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, $\mathrm{Ra}=10^{3}$ to $10^{5},$ Hartmann number varied from $\mathrm{Ha}=0$ to $60,$ the inclination angle of the magnetic field relative to the horizontal plane $\gamma=0^{\circ}$ to $180^{\circ}$ and the solid volume fraction of the nanoparticles between $\phi=0$ and $6 \%$. The results show that the heat transfer and fluid flow depends strongly upon the direction of magnetic field. In addition, according the Hartmann number, it observed that the magnetic field direction controls the effects of nanoparticles.

1. Introduction

2. Mathematical Formulation

3. Results and Discussion

4. Conclusions

Nomenclature

References

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