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Thermosolutal convection of a nanofluid in ∧-shaped cavity saturated by a porous medium

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)
Zehba Raizah (Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 4 February 2021

Issue publication date: 1 November 2021

133

Abstract

Purpose

The purpose of this study is to simulate the thermo-solutal convection resulting from a circular cylinder hanging in a rod inside a ∧-shaped cavity.

Design/methodology/approach

The two dimensional ∧-shaped cavity is filled by Al2O3-water nanofluid and saturated by three different levels of heterogeneous porous media. An incompressible smoothed particle hydrodynamics (ISPH) method is adopted to solve the governing equations of the present problem. The present simulations have been performed for the alteration of buoyancy ratio (2N2), radius of a circular cylinder (0.05Rc0.3), a height of a rod (0.1Lh0.4), Darcy parameter (103Da105), Lewis number (1Le40), solid volume fraction (0ϕ0.06), porous levels (0η1=η21.5)and various boundary-wall conditions.

Findings

The performed numerical simulations indicated the importance of embedded shapes on the distributions of temperature, concentration and velocity fields inside ∧-shaped cavity. Increasing buoyancy ratio parameter enhances thermo-solutal convection and nanofluid velocity. Adiabatic conditions of the vertical-walls of ∧-shaped cavity augment the distributions of the temperature and concentration. Regardless the Darcy parameter, a homogeneous porous medium gives the lowest values of a nanofluid velocity.

Originality/value

ISPH method is used to simulate thermo-solutal convection of a nanofluid inside a novel ∧-shaped cavity containing a novel embedded shape and heterogeneous porous media.

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 General Research Project under grant number (G.R.P. 3/42).

Citation

Aly, A.M. and Raizah, Z. (2021), "Thermosolutal convection of a nanofluid in ∧-shaped cavity saturated by a porous medium", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 11, pp. 3413-3435. https://doi.org/10.1108/HFF-09-2020-0603

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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