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Study of natural convection cooling of a nanofluid subjected to a magnetic field

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  • Mahmoudi, Ahmed
  • Mejri, Imen
  • Omri, Ahmed

Abstract

This paper presents a numerical study of natural convection cooling of water-Al2O3 nanofluid by two heat sinks vertically attached to the horizontal walls of a cavity subjected to a magnetic field. The left wall is hot, the right wall is cold, while the horizontal walls are 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, Ra=103 to 105, Hartmann number varied from Ha=0 to 60 and the solid volume fraction of nanoparticles between ϕ=0 and 6%. In order to investigate the effect of heat sinks location, three different configurations of heat sinks are considered. The effects of Rayleigh numbers, Hartmann number and heat sinks location on the streamlines, isotherms, Nusselt number are investigated. Results show that the heat transfer rate decreases with the increase of Hartmann number and increases with the rise of Rayleigh number. In addition it is observed that the average Nusselt number increases linearly with the increase of the nanoparticles solid volume fraction. Also, results show that the heat sinks positions greatly influence the heat transfer rate depending on the Hartmann number, Rayleigh number and nanoparticle solid volume fraction.

Suggested Citation

  • Mahmoudi, Ahmed & Mejri, Imen & Omri, Ahmed, 2016. "Study of natural convection cooling of a nanofluid subjected to a magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 333-348.
  • Handle: RePEc:eee:phsmap:v:451:y:2016:i:c:p:333-348
    DOI: 10.1016/j.physa.2016.01.102
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    References listed on IDEAS

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    1. Sheikholeslami, Mohsen & Bandpy, Mofid Gorji & Ashorynejad, Hamid Reza, 2015. "Lattice Boltzmann Method for simulation of magnetic field effect on hydrothermal behavior of nanofluid in a cubic cavity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 58-70.
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    Cited by:

    1. Hajmohammadi, M.R. & Haji Molla Ali Tork, M.H., 2019. "Effects of the magnetic field on the cylindrical Couette flow and heat transfer of a nanofluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 234-245.
    2. Alsabery, A.I. & Chamkha, A.J. & Saleh, H. & Hashim, I. & Chanane, B., 2017. "Effects of finite wall thickness and sinusoidal heating on convection in nanofluid-saturated local thermal non-equilibrium porous cavity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 470(C), pages 20-38.
    3. Hemmat Esfe, Mohammad & Esfandeh, Saeed, 2020. "The statistical investigation of multi-grade oil based nanofluids: Enriched by MWCNT and ZnO nanoparticles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
    4. Sheikholeslami, M. & Jafaryar, M. & Shafee, Ahmad & Li, Zhixiong, 2019. "Simulation of nanoparticles application for expediting melting of PCM inside a finned enclosure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 544-556.
    5. Selimefendigil, Fatih & Öztop, Hakan F., 2020. "Effects of conductive curved partition and magnetic field on natural convection and entropy generation in an inclined cavity filled with nanofluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    6. Toghaniyan, Abolfazl & Zarringhalam, Majid & Akbari, Omid Ali & Sheikh Shabani, Gholamreza Ahmadi & Toghraie, Davood, 2018. "Application of lattice Boltzmann method and spinodal decomposition phenomenon for simulating two-phase thermal flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 673-689.
    7. Li, Zhixiong & Sheikholeslami, M. & Ayani, M. & Shamlooei, M. & Shafee, Ahmad & Waly, Mohamed Ibrahim & Tlili, I., 2019. "Acceleration of solidification process by means of nanoparticles in an energy storage enclosure using numerical approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 540-552.
    8. Hajmohammadi, M.R. & Toghraei, I., 2018. "Optimal design and thermal performance improvement of a double-layered microchannel heat sink by introducing Al2O3 nano-particles into the water," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 328-344.
    9. Sheikholeslami, M. & Keramati, Hadi & Shafee, Ahmad & Li, Zhixiong & Alawad, Omer A. & Tlili, I., 2019. "Nanofluid MHD forced convection heat transfer around the elliptic obstacle inside a permeable lid drive 3D enclosure considering lattice Boltzmann method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 87-104.
    10. Hemmat Esfe, Mohammad & Afrand, Masoud, 2020. "Mathematical and artificial brain structure-based modeling of heat conductivity of water based nanofluid enriched by double wall carbon nanotubes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).

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