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A scale analysis to study melting process driven by natural convection

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  • Mahmoudi, Ahmed

Abstract

In this paper, a theoretical and numerical study of melting process driven by natural convection inside a porous square cavity differentially heated in the presence of a magnetic field is carried out. The theoretical study based on the scale analysis method made it possible to determine correlations giving the Nusselt number and the average melting front as function of the different parameters that control melting process. A numerical study by lattice Boltzmann method is also performed to verify the accuracy of the proposed correlations.

Suggested Citation

  • Mahmoudi, Ahmed, 2019. "A scale analysis to study melting process driven by natural convection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 430-447.
    • Handle: RePEc:eee:phsmap:v:524:y:2019:i:c:p:430-447
    DOI: 10.1016/j.physa.2019.04.252
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    References listed on IDEAS

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    1. Che Sidik, Nor Azwadi & Aisyah Razali, Siti, 2014. "Lattice Boltzmann method for convective heat transfer of nanofluids – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 38(C), pages 864-875.
    2. Seta, Takeshi & Takegoshi, Eishun & Okui, Kenichi, 2006. "Lattice Boltzmann simulation of natural convection in porous media," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 72(2), pages 195-200.
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