Volume 9, Issue 5
Lattice Boltzmann Simulation of Magnetic Field Effect on Natural Convection of Power-Law Nanofluids in Rectangular Enclosures

Lei Wang, Zhenhua Chai & Baochang Shi

Adv. Appl. Math. Mech., 9 (2017), pp. 1094-1110.

Published online: 2018-05

Preview Full PDF 3 569
Export citation
  • Abstract

In this paper, the magnetic field effects on natural convection of powerlaw 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.

  • Keywords

magnetic field, nanofluid, power-law viscosity, lattice Boltzmann method.

  • AMS Subject Headings

65M10, 78A48

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • References
  • Hide All
    View All

@Article{AAMM-9-1094, author = {}, 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 = {

In this paper, the magnetic field effects on natural convection of powerlaw 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2016-0066}, url = {http://global-sci.org/intro/article_detail/aamm/12191.html} }
Copy to clipboard
The citation has been copied to your clipboard