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Three-dimensional flow of a power-law nanofluid within a cubic domain filled with a heat-generating and 3D-heterogeneous porous medium

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Abstract

In this study, 3D-SIMPLE algorithm in the finite volume method (FVM) is introduced for investigating the convective flow of a power-law nanofluid within a cubic enclosure. The three-dimensional domain is filled by a heat-generating and 3D-heterogeneous porous media. The non-Newtonian power-law nanofluid is simulated using the two-phase model and case of the shear thickening fluids is considered. Three different levels of heterogeneous porous media and three values of power-law indices are investigated on the temperature, streamlines, nanoparticle volume fraction, isosurfaces of temperature and vertical velocity W. The obtained results indicated that with a homogeneous porous medium and Newtonian fluid, the temperature and nanoparticle volume fraction distributions are raising inside the cubic enclosure. Variations on the nanoparticle volume fraction under impacts of buoyancy ratio and thermophoresis parameters are reflecting the essential of the non-homogeneous distributions of the nanoparticle volume fraction. The maximum temperature rose in the cases of Newtonian fluid and homogeneous porous medium.

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Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research groups program under Grant no. R.G.P.1/254/42.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, King Khalid University, Abha, Saudi Arabia

    Sameh E. Ahmed, Zehba A. S. Raizah & Abdelraheem M. Aly

  2. Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt

    Sameh E. Ahmed & Abdelraheem M. Aly

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  1. Sameh E. Ahmed
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  2. Zehba A. S. Raizah
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  3. Abdelraheem M. Aly
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Correspondence to Sameh E. Ahmed.

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Ahmed, S.E., Raizah, Z.A.S. & Aly, A.M. Three-dimensional flow of a power-law nanofluid within a cubic domain filled with a heat-generating and 3D-heterogeneous porous medium. Eur. Phys. J. Spec. Top. 230, 1185–1199 (2021). https://doi.org/10.1140/epjs/s11734-021-00040-0

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