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LTNE modeling of Magneto-Ferro natural convection inside a porous enclosure exposed to nonuniform magnetic field

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  • Izadi, Mohsen
  • Mohebbi, Rasul
  • Sajjadi, Hasan
  • Delouei, Amin Amiri

Abstract

Applying LTNE model, the natural convection of a porous enclosure, exposed to a nonuniform magnetic field, was numerically analyzed. At such conditions, the buoyancy, the Lorentz and magnetization forces are applied to the hybrid nanofluid. Utilizing the finite element technique, the set of governing equations pertinent to the present problem was discretized and solved. To validate the results of the current study, they are compared to previous studies and a good compromise is observed. The power ratio of the two magnetic sources γr, the porosity coefficient, Rayleigh number, thermal conductivity proportion of hybrid nanofluid to that of the matrix material, local heat exchange between nanofluid and solid surface inside the pores, magnetization and Hartmann numbers on the flow and thermal indices have been perused. The results indicate that the Nusselt numbers of the two phases of porous material converge with increasing γr; whereas, these two thermal indices vary with reducing γr. Also, the application of the local thermal equilibrium is justifiable when the Hartmann number and Lorentz forces acting on the hybrid nanofluid increase.

Suggested Citation

  • Izadi, Mohsen & Mohebbi, Rasul & Sajjadi, Hasan & Delouei, Amin Amiri, 2019. "LTNE modeling of Magneto-Ferro natural convection inside a porous enclosure exposed to nonuniform magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    • Handle: RePEc:eee:phsmap:v:535:y:2019:i:c:s0378437119313767
    DOI: 10.1016/j.physa.2019.122394
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    References listed on IDEAS

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    1. 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.
    2. Sheikholeslami, M. & Vajravelu, K., 2017. "Nanofluid flow and heat transfer in a cavity with variable magnetic field," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 272-282.
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    Cited by:

    1. Tayebi, Tahar & Chamkha, Ali J. & Öztop, Hakan F. & Bouzeroura, Lynda, 2022. "Local thermal non-equilibrium (LTNE) effects on thermal-free convection in a nanofluid-saturated horizontal elliptical non-Darcian porous annulus," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 124-140.
    2. Zhen Zhao & Liang Xu & Jianmin Gao & Lei Xi & Qicheng Ruan & Yunlong Li, 2022. "Multi-Objective Optimization of Parameters of Channels with Staggered Frustum of a Cone Based on Response Surface Methodology," Energies, MDPI, vol. 15(3), pages 1-19, February.
    3. Keykhah, Sajjad & Assareh, Ehsanolah & Moltames, Rahim & Izadi, Mohsen & Ali, Hafiz Muhammad, 2020. "Heat transfer and fluid flow for tube included a porous media: Assessment and Multi-Objective Optimization Using Particle Swarm Optimization (PSO) Algorithm," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).

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