Numerical Investigation of the Double Diffusive Convection in 3D Trapezoidal Solar Still Equipped with Conductive Fins

In this paper a numerical investigation on the double diffusive natural convection in a finned solar still is performed using the finite volume method. The 3D vector potential-vorticity formalism is used to eliminate the gradient pressure terms and due to the complex shape of the cavity the blocked-...

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Main Authors: Lioua Kolsi, Kaouther Ghachem, Samia Larguech, Ghada AlNemer
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/12/2115
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author Lioua Kolsi
Kaouther Ghachem
Samia Larguech
Ghada AlNemer
author_facet Lioua Kolsi
Kaouther Ghachem
Samia Larguech
Ghada AlNemer
author_sort Lioua Kolsi
collection DOAJ
description In this paper a numerical investigation on the double diffusive natural convection in a finned solar still is performed using the finite volume method. The 3D vector potential-vorticity formalism is used to eliminate the gradient pressure terms and due to the complex shape of the cavity the blocked-off-region method is adopted. After getting the dimensionless governing equations, they are written in a generalised form then discretised. The effects of the buoyancy ratio, conductivity ratio and Rayleigh number of the flow structure, temperature field and heat and mass transfer are studied. The results show that the increase of conductivity ratio and Rayleigh number leads to an enhancement of the heat and mass transfer.
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spelling doaj.art-72bc5d3a1eb9480f866836befd3f43062023-11-23T17:49:57ZengMDPI AGMathematics2227-73902022-06-011012211510.3390/math10122115Numerical Investigation of the Double Diffusive Convection in 3D Trapezoidal Solar Still Equipped with Conductive FinsLioua Kolsi0Kaouther Ghachem1Samia Larguech2Ghada AlNemer3Department of Mechanical Engineering, College of Engineering, Ha’il University, Ha’il City 81481, Saudi ArabiaDepartment of Industrial Engineering and Systems, College of Engineering, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi ArabiaDepartment of Electrical Engineering, College of Engineering, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi ArabiaDepartment of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi ArabiaIn this paper a numerical investigation on the double diffusive natural convection in a finned solar still is performed using the finite volume method. The 3D vector potential-vorticity formalism is used to eliminate the gradient pressure terms and due to the complex shape of the cavity the blocked-off-region method is adopted. After getting the dimensionless governing equations, they are written in a generalised form then discretised. The effects of the buoyancy ratio, conductivity ratio and Rayleigh number of the flow structure, temperature field and heat and mass transfer are studied. The results show that the increase of conductivity ratio and Rayleigh number leads to an enhancement of the heat and mass transfer.https://www.mdpi.com/2227-7390/10/12/21153D double diffusionpartial differential equationsfinite volume methodvector potential-vorticity formalismblocked-of-region methodconductive fins
spellingShingle Lioua Kolsi
Kaouther Ghachem
Samia Larguech
Ghada AlNemer
Numerical Investigation of the Double Diffusive Convection in 3D Trapezoidal Solar Still Equipped with Conductive Fins
Mathematics
3D double diffusion
partial differential equations
finite volume method
vector potential-vorticity formalism
blocked-of-region method
conductive fins
title Numerical Investigation of the Double Diffusive Convection in 3D Trapezoidal Solar Still Equipped with Conductive Fins
title_full Numerical Investigation of the Double Diffusive Convection in 3D Trapezoidal Solar Still Equipped with Conductive Fins
title_fullStr Numerical Investigation of the Double Diffusive Convection in 3D Trapezoidal Solar Still Equipped with Conductive Fins
title_full_unstemmed Numerical Investigation of the Double Diffusive Convection in 3D Trapezoidal Solar Still Equipped with Conductive Fins
title_short Numerical Investigation of the Double Diffusive Convection in 3D Trapezoidal Solar Still Equipped with Conductive Fins
title_sort numerical investigation of the double diffusive convection in 3d trapezoidal solar still equipped with conductive fins
topic 3D double diffusion
partial differential equations
finite volume method
vector potential-vorticity formalism
blocked-of-region method
conductive fins
url https://www.mdpi.com/2227-7390/10/12/2115
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