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Local thermal non-equilibrium (LTNE) effects on thermal-free convection in a nanofluid-saturated horizontal elliptical non-Darcian porous annulus

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  • Tayebi, Tahar
  • Chamkha, Ali J.
  • Öztop, Hakan F.
  • Bouzeroura, Lynda

Abstract

In this investigation, a comprehensive and accurate numerical analysis of the local thermal non-equilibrium effects on the natural convection characteristics in a horizontal elliptical porous annulus saturated with nanofluid has been carried out using finite volume technique. The internal surface is isothermally heated while the external one is fixed at uniform lower temperature. The nanofluid phase and the solid phase of the porous structure are out of local thermal equilibrium situation. The heat and the hydrodynamics equations in their dimensionless form under Darcy–Brinkman Forchheimer model were solved computationally by the finite volume technique using the standard SIMPLER algorithm. The results have been examined for various porous medium properties under the LTNE condition. The standard 0.05 significance level was used to identify the local thermal equilibrium within the system. According to the obtained results, the higher the Darcy number and the smaller the non-dimensional heat transfer coefficient for the solid/nanofluid interface, the modified thermal conductivity ratio and the media’s porosity, the higher are the LTNE effects. In addition, the spatial distribution contours of the LTNE sources within the porous annulus were schematized.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:194:y:2022:i:c:p:124-140
    DOI: 10.1016/j.matcom.2021.11.011
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    References listed on IDEAS

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    1. 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).
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    5. Rashidi, Saman & Esfahani, Javad Abolfazli & Karimi, Nader, 2018. "Porous materials in building energy technologies—A review of the applications, modelling and experiments," Renewable and Sustainable Energy Reviews, Elsevier, vol. 91(C), pages 229-247.
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