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Free Convection in a Square Cavity Filled with a Porous Medium Saturated by Nanofluid Using Tiwari and Das’ Nanofluid Model

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Abstract

Free convection in a square differentially heated porous cavity filled with a nanofluid is numerically investigated. The mathematical model has been formulated in dimensionless stream function and temperature taking into account the Darcy–Boussinesq approximation. The Tiwari and Das’ nanofluid model with new more realistic empirical correlations for the physical properties of the nanofluids has been used for numerical analysis. The governing equations have been solved numerically on the basis of a second-order accurate finite difference method. The developed algorithm has been validated by direct comparisons with previously published papers and the results have been found to be in good agreement. The results have been presented in terms of the streamlines, isotherms, local, and average Nusselt numbers at left vertical wall at a wide range of key parameters.

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Acknowledgments

This work of M.A. Sheremet was conducted as a government task of the Ministry of Education and Science of the Russian Federation, Project Number 13.1919.2014/K.

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Authors and Affiliations

  1. Department of Theoretical Mechanics, Faculty of Mechanics and Mathematics, Tomsk State University, 634050, Tomsk, Russia

    M. A. Sheremet

  2. Institute of Power Engineering, Tomsk Polytechnic University, 634050, Tomsk, Russia

    M. A. Sheremet

  3. Department of Applied Mathematics, Babeş-Bolyai University, 400084, Cluj-Napoca, Romania

    T. Grosan & I. Pop

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  1. M. A. Sheremet
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  3. I. Pop
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Correspondence to I. Pop.

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Sheremet, M.A., Grosan, T. & Pop, I. Free Convection in a Square Cavity Filled with a Porous Medium Saturated by Nanofluid Using Tiwari and Das’ Nanofluid Model. Transp Porous Med 106, 595–610 (2015). https://doi.org/10.1007/s11242-014-0415-3

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  • DOI: https://doi.org/10.1007/s11242-014-0415-3

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