@Article{AAMM-9-1094,
author = {Wang , LeiChai , Zhenhua and Shi , Baochang},
title = {Lattice Boltzmann Simulation of Magnetic Field Effect on Natural Convection of Power-Law Nanofluids in Rectangular Enclosures},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {9},
number = {5},
pages = {1094--1110},
abstract = {<p style="text-align: justify;">In this paper, the magnetic field effects on natural convection of power-law
nanofluids in rectangular enclosures are investigated numerically with the lattice
Boltzmann method. The fluid in the cavity is a water-based nanofluid containing Cu
nanoparticles and the investigations are carried out for different governing parameters
including Hartmann number (0.0≤$Ha$≤20.0), Rayleigh number (104≤$Ra$≤106
),
power-law index (0.5≤$n$≤1.0), nanopartical volume fraction (0.0≤$ϕ$≤0.1) and aspect
ratio (0.125≤$AR$≤8.0). The results reveal that the flow oscillations can be suppressed
effectively by imposing an external magnetic field and the augmentation of Hartmann
number and power-law index generally decreases the heat transfer rate. Additionally,
it is observed that the average Nusselt number is increased with the increase of
Rayleigh number and nanoparticle volume fraction. Moreover, the present results also
indicate that there is a critical value for aspect ratio at which the impact on heat transfer
is the most pronounced.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2016-0066},
url = {http://global-sci.org/intro/article_detail/aamm/12191.html}
}