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ISPH simulations of natural convection from rotating circular cylinders inside a horizontal wavy cavity filled with a nanofluid and saturated by a heterogeneous porous medium

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Abstract

This work deals with natural convection flow resulting from rotating circular cylinders in a horizontal wavy cavity fully filled by nanofluid. The horizontal wavy cavity was saturated by three layers of heterogeneous porous media. Incompressible smoothed particle hydrodynamics (ISPH) method is used to solve the non-dimensional governing equations of the current physical problem. Three circular cylinders are carrying a hot temperature with a uniform circular velocity inside a horizontal wavy cavity. Effects of physical parameters including circular cylinder radius \((0.05\le R_{\text {c}}\le 0.3)\), Darcy parameter \(({10}^{-3}\le {\text {Da}}\le {10}^{-5})\), Rayleigh number \(({10}^{3}\le {\text {Ra}}\le {10}^{5})\), nanoparticles volume fraction \((0\le \phi \le 6\% )\), and paddle lengths \((0.05\le L_{\text {paddl}}\le 0.2)\) on fluid flow and heat transfer were examined. Results revealed that an increase on radius of inner cylinders rises temperature distributions and nanofluid flow. A decrease on Darcy parameter weakens fluid flow. A growth on paddle lengths enhances velocity field in all the porous layers. In the current simulations, ISPH method showed a well performance in simulating natural convection flow of nanofluid inside a novel geometry (horizontal wavy cavity).

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Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University, Abha, Saudi Arabia, for funding this work through the Research Group Project under Grant Number (RGP.1/19/42).

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Authors and Affiliations

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

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

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

    Abdelraheem M. Aly & Sameh E. Ahmed

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

AMA: performed the programming of in-house code of ISPH method, analysis, and methodology. ZASR: performed writing, and review and editing. SEA: performed the investigation and writing—original draft.

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Correspondence to Abdelraheem M. Aly.

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Aly, A.M., Raizah, Z.A.S. & Ahmed, S.E. ISPH simulations of natural convection from rotating circular cylinders inside a horizontal wavy cavity filled with a nanofluid and saturated by a heterogeneous porous medium. Eur. Phys. J. Spec. Top. 230, 1173–1183 (2021). https://doi.org/10.1140/epjs/s11734-021-00050-y

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