Thermosolutal natural convection across an inclined square enclosure partially filled with a porous medium

The present study is a numerical inspection of the natural convection with double diffusion in a tilted square cavity filled with a vertical bi-layered composed porous and an adjacent fluid. Isotropic and homogeneous porous layer is considered in this case study. The porous layer is saturated by an...

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Main Authors: Noureddine Hadidi, Redha Rebhi, Rachid Bennacer, Younes Menni, Houari Ameur, Giulio Lorenzini, Khaled A. Gepreel, Hijaz Ahmad
Format: Article
Language:English
Published: Elsevier 2021-02-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379721000085
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spelling doaj-ad9b487d2de644a499c9745521668de92021-02-13T04:24:25ZengElsevierResults in Physics2211-37972021-02-0121103821Thermosolutal natural convection across an inclined square enclosure partially filled with a porous mediumNoureddine Hadidi0Redha Rebhi1Rachid Bennacer2Younes Menni3Houari Ameur4Giulio Lorenzini5Khaled A. Gepreel6Hijaz Ahmad7University Yahia Fares of Medea, Department of Process Engineering and Environment, LME, 26000, AlgeriaUniversity of Medea, Department of Mechanical Engineering, Medea 26000, AlgeriaLMT, ENS Paris-Saclay, CNRS, Université Paris-Saclay, 61 avenue du Président Wilson, 94235 Cachan, FranceUnit of Research on Materials and Renewable Energies, Department of Physics, Faculty of Sciences, Abou Bakr Belkaid University, P.O. Box 119, 13000 Tlemcen, AlgeriaDepartment of Technology, University Centre of Naama, P.O. Box 66, Naama 45000, AlgeriaDepartment of Engineering and Architecture, University of Parma, Parco Area delle Scienze, 181/A, Parma 43124, ItalyDepartment of Mathematics, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Basic Sciences, University of Engineering and Technology, Peshawar, Pakistan; Corresponding author.The present study is a numerical inspection of the natural convection with double diffusion in a tilted square cavity filled with a vertical bi-layered composed porous and an adjacent fluid. Isotropic and homogeneous porous layer is considered in this case study. The porous layer is saturated by an aqueous solution with a Prandtl number Pr = 7. The horizontal walls are considered impermeable and adiabatic, while uniform concentrations and temperatures are set on the vertical walls. The Thomas algorithm is employed to find a solution for the system of the governing equations. The divergence of the non-linear system is avoided by introducing under–relaxation factors. The effects of the various non-dimensional governing parameters namely the thickness of porous layer, Rayleigh number, buoyancy ratio, Lewis number, cavity inclination angle, and the thermal conductivity ratio on the thermo-solutal natural convection and the rate of mass and thermal exchange are highlighted and discussed. The predicted findings are given in terms of flow patterns, thermal fields, and iso-concentration lines. The variation of the velocity field, stream function, Sherwood number, and Nusselt number is also inspected. The numerical results show complex flow structure modifying the local transfer (Nusselt and Sherwood numbers).http://www.sciencedirect.com/science/article/pii/S2211379721000085Natural convectionThermo-solutal convectionPartially porous mediumCavity inclinationThermal and mass exchange
collection DOAJ
language English
format Article
sources DOAJ
author Noureddine Hadidi
Redha Rebhi
Rachid Bennacer
Younes Menni
Houari Ameur
Giulio Lorenzini
Khaled A. Gepreel
Hijaz Ahmad
spellingShingle Noureddine Hadidi
Redha Rebhi
Rachid Bennacer
Younes Menni
Houari Ameur
Giulio Lorenzini
Khaled A. Gepreel
Hijaz Ahmad
Thermosolutal natural convection across an inclined square enclosure partially filled with a porous medium
Results in Physics
Natural convection
Thermo-solutal convection
Partially porous medium
Cavity inclination
Thermal and mass exchange
author_facet Noureddine Hadidi
Redha Rebhi
Rachid Bennacer
Younes Menni
Houari Ameur
Giulio Lorenzini
Khaled A. Gepreel
Hijaz Ahmad
author_sort Noureddine Hadidi
title Thermosolutal natural convection across an inclined square enclosure partially filled with a porous medium
title_short Thermosolutal natural convection across an inclined square enclosure partially filled with a porous medium
title_full Thermosolutal natural convection across an inclined square enclosure partially filled with a porous medium
title_fullStr Thermosolutal natural convection across an inclined square enclosure partially filled with a porous medium
title_full_unstemmed Thermosolutal natural convection across an inclined square enclosure partially filled with a porous medium
title_sort thermosolutal natural convection across an inclined square enclosure partially filled with a porous medium
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2021-02-01
description The present study is a numerical inspection of the natural convection with double diffusion in a tilted square cavity filled with a vertical bi-layered composed porous and an adjacent fluid. Isotropic and homogeneous porous layer is considered in this case study. The porous layer is saturated by an aqueous solution with a Prandtl number Pr = 7. The horizontal walls are considered impermeable and adiabatic, while uniform concentrations and temperatures are set on the vertical walls. The Thomas algorithm is employed to find a solution for the system of the governing equations. The divergence of the non-linear system is avoided by introducing under–relaxation factors. The effects of the various non-dimensional governing parameters namely the thickness of porous layer, Rayleigh number, buoyancy ratio, Lewis number, cavity inclination angle, and the thermal conductivity ratio on the thermo-solutal natural convection and the rate of mass and thermal exchange are highlighted and discussed. The predicted findings are given in terms of flow patterns, thermal fields, and iso-concentration lines. The variation of the velocity field, stream function, Sherwood number, and Nusselt number is also inspected. The numerical results show complex flow structure modifying the local transfer (Nusselt and Sherwood numbers).
topic Natural convection
Thermo-solutal convection
Partially porous medium
Cavity inclination
Thermal and mass exchange
url http://www.sciencedirect.com/science/article/pii/S2211379721000085
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