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A mesoscopic model for thermal–solutal problems of power-law fluids through porous media


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Kefayati, G ORCID: 0000-0001-9757-8260, Tolooiyan, A ORCID: 0000-0001-8072-636X, Bassom, AP ORCID: 0000-0003-3275-7801 and Vafai, K 2021 , 'A mesoscopic model for thermal–solutal problems of power-law fluids through porous media' , Physics of Fluids, vol. 33, no. 3 , pp. 1-21 , doi: 10.1063/5.0042526.

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A mesoscopic method based on the lattice Boltzmann method for thermal–solutal incompressible non-Newtonian power-law fluids through porous media is introduced. The macroscopic equations of different representative element volume (REV) models of porous media are presented, and the equations of power-law fluids through porous media for various REV models reported. The general mesoscopic model for two- and three-dimensional cases are presented, and their derivations shown. To demonstrate the ability of the proposed method, natural convection and double-diffusive natural convection of Newtonian and power-law fluids in porous cavities are studied, and the results are validated against previous findings. Finally, double-diffusive natural convection in a porous cubic cavity filled with a non-Newtonian power-law fluid is simulated by the proposed method.

Item Type: Article
Authors/Creators:Kefayati, G and Tolooiyan, A and Bassom, AP and Vafai, K
Keywords: CFD, LBM, porous, power-law fluids, heat and mass transfer
Journal or Publication Title: Physics of Fluids
Publisher: Amer Inst Physics
ISSN: 1070-6631
DOI / ID Number: 10.1063/5.0042526
Copyright Information:

© 2021 Author(s).

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