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Motion of circular cylinders during natural convection flow in X-shaped cavity filled with a nanofluid using ISPH method

Abdelraheem M. Aly (Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia and Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt)
Ehab Mahmoud Mohamed (Department of Electrical Engineering, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi Addwasir, Saudi Arabia and Department of Electrical Engineering, Faculty of Engineering, Aswan University, Aswan, Egypt)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 19 March 2021

Issue publication date: 3 May 2021

102

Abstract

Purpose

This study aims to illustrate the impacts of the motion of circular cylinders on the natural convection flow from variable heated partitions inside the X-shaped cavity filled with Al2O3-water nanofluid. A partial layer of a homogeneous/heterogeneous porous medium is located in the top area of the X-shaped cavity.

Design/methodology/approach

Three different cases of the porous media including homogeneous, horizontal heterogeneous and vertical heterogeneous porous media were considered. Three different thermal conditions of the embedded circular cylinders including hot, cold and adiabatic conditions are investigated. An incompressible scheme of smoothed particle hydrodynamics (ISPH) method is modified to compute the non-linear partial differential equations of the current problem. Two variable lengths of the left and right sides of the X-shaped cavity have a high-temperature Th and a low-temperature Tc, respectively. The other wall parts are adiabatic. The numerical simulations are elucidating the dependence of the heat transfer and fluid flow characteristics on lengths of hot/cold source Lh, porous cases, Darcy parameter, thermal conditions of the embedded circular cylinders and solid volume fraction.

Findings

Overall, an increment in length of hot/cold source leads to augmentation on the temperature distributions and flow intensity inside the X-shaped cavity. The hot thermal condition of the circular cylinder augments the temperature distributions. The homogeneous porous medium slows down the flow speed in the top porous layer of the X-shaped cavity. The average Nusselt number decreases as Lh increases.

Originality/value

ISPH method simulated the motion of circular cylinders in the X-shaped cavity. The X-shaped cavity is saturated with a partial layer porous medium. It is found that an increase in hot source length augments the temperature and fluid flow. ISPH method can easily handle the motion of cylinders in the X-shaped cavity. Different thermal conditions of cylinders can change the temperature distributions in X-cavity.

Keywords

Acknowledgements

The authors would like to extend their appreciations 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 R.G.P2/70/41.

Citation

Aly, A.M. and Mohamed, E.M. (2021), "Motion of circular cylinders during natural convection flow in X-shaped cavity filled with a nanofluid using ISPH method", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 5, pp. 1449-1474. https://doi.org/10.1108/HFF-04-2020-0231

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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