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Lattice Boltzmann Method for simulation of magnetic field effect on hydrothermal behavior of nanofluid in a cubic cavity

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  • Sheikholeslami, Mohsen
  • Bandpy, Mofid Gorji
  • Ashorynejad, Hamid Reza

Abstract

In this study, Lattice Boltzmann Method is applied in order to simulate the magnetic field effect on nanofluid flow and convective heat transfer in a cubic cavity. The enclosure is filled with ​Al2O3–water nanofluid. Koo–Kleinstreuer–Li correlation is applied to calculate the effective viscosity and thermal conductivity of nanofluid. The effects of active parameters such as Hartmann number, nanoparticle volume fraction and Rayleigh number on flow and heat transfer have been examined. Results indicate that enhancement in heat transfer has direct relationship with Hartmann number while it has inverse relationship with Rayleigh number. Nusselt number increases with increase of nanoparticle volume fraction and Rayleigh number while it decreases with increase of Hartmann number.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:432:y:2015:i:c:p:58-70
    DOI: 10.1016/j.physa.2015.03.009
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    References listed on IDEAS

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    1. Karimipour, Arash & Hemmat Esfe, Mohammad & Safaei, Mohammad Reza & Toghraie Semiromi, Davood & Jafari, Saeed & Kazi, S.N., 2014. "Mixed convection of copper–water nanofluid in a shallow inclined lid driven cavity using the lattice Boltzmann method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 150-168.
    2. Sheikholeslami, M. & Gorji-Bandpy, M. & Ganji, D.D., 2013. "Numerical investigation of MHD effects on Al2O3–water nanofluid flow and heat transfer in a semi-annulus enclosure using LBM," Energy, Elsevier, vol. 60(C), pages 501-510.
    3. Sheikholeslami, Mohsen & Ganji, Davood Domiri, 2015. "Entropy generation of nanofluid in presence of magnetic field using Lattice Boltzmann Method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 417(C), pages 273-286.
    4. Sheikholeslami, Mohsen & Ganji, Davood Domiri, 2014. "Ferrohydrodynamic and magnetohydrodynamic effects on ferrofluid flow and convective heat transfer," Energy, Elsevier, vol. 75(C), pages 400-410.
    5. Andrea Montessori & Michele La Rocca & Giacomo Falcucci & Sauro Succi, 2014. "Regularized lattice BGK versus highly accurate spectral methods for cavity flow simulations," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(12), pages 1-10.
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    Cited by:

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    3. Mohamed Sannad & Ahmed Kadhim Hussein & Awatef Abidi & Raad Z. Homod & Uddhaba Biswal & Bagh Ali & Lioua Kolsi & Obai Younis, 2022. "Numerical Study of MHD Natural Convection inside a Cubical Cavity Loaded with Copper-Water Nanofluid by Using a Non-Homogeneous Dynamic Mathematical Model," Mathematics, MDPI, vol. 10(12), pages 1-28, June.
    4. 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.
    5. 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.
    6. 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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