Double Diffusive Natural Convection in a Square Cavity Filled with a Porous Media and a Power Law Fluid Separated by a Wavy Interface
This study deals with the influence of a wavy interface separating two layers filled with power law fluid and porous media, respectively. The governing equations are solved using the Finite Element Method (FEM) and the numerical model is validated by comparing with experimental findings. The paramet...
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| Format: | Article |
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MDPI AG
2022-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/7/1060 |
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| author | Lioua Kolsi Shafqat Hussain Kaouther Ghachem Muhammad Jamal Chemseddine Maatki |
| author_facet | Lioua Kolsi Shafqat Hussain Kaouther Ghachem Muhammad Jamal Chemseddine Maatki |
| author_sort | Lioua Kolsi |
| collection | DOAJ |
| description | This study deals with the influence of a wavy interface separating two layers filled with power law fluid and porous media, respectively. The governing equations are solved using the Finite Element Method (FEM) and the numerical model is validated by comparing with experimental findings. The parameters governing the studied configuration are varied as: Rayleigh number (10<sup>3</sup> ≤ <i>Ra</i> ≤ 10<sup>6</sup>), power law index (0.6 ≤ <i>n</i> ≤ 1.4), Darcy number (10<sup>−2</sup> ≤ <i>Da</i> ≤ 10<sup>−6</sup>), buoyancy ratio (0.1 ≤ <i>N</i> ≤ 10) and Lewis number (1 ≤ <i>Le</i> ≤ 10). It is inferred that the temperature gradient increases by augmenting the Rayleigh number, as the flow is observed from the vertical to horizontal direction in both layers. Constant enhancement in the heat and mass transfer is also observed by enriching the buoyancy effect. Moreover, the average Nusselt and Sherwood numbers decline by increasing the width of the porous layer. |
| first_indexed | 2024-03-09T11:39:27Z |
| format | Article |
| id | doaj.art-9efbcae1b4024817936b5847cd527465 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T11:39:27Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-9efbcae1b4024817936b5847cd5274652023-11-30T23:36:34ZengMDPI AGMathematics2227-73902022-03-01107106010.3390/math10071060Double Diffusive Natural Convection in a Square Cavity Filled with a Porous Media and a Power Law Fluid Separated by a Wavy InterfaceLioua Kolsi0Shafqat Hussain1Kaouther Ghachem2Muhammad Jamal3Chemseddine Maatki4Mechanical Engineering Department, College of Engineering, University of Ha’il, Ha’il 81451, Saudi ArabiaDepartment of Mathematics, Capital University of Science and Technology, Islamabad 44000, PakistanDepartment of Industrial Engineering and Systems, College of Engineering, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi ArabiaDepartment of Mathematics & Statistics, PMAS-Arid Agriculture University, Rawalpindi 46300, PakistanDepartment of Mechanical Engineering, College of Engineering, Imam Mohammad Ibn Saud Islamic University, Riyadh 11432, Saudi ArabiaThis study deals with the influence of a wavy interface separating two layers filled with power law fluid and porous media, respectively. The governing equations are solved using the Finite Element Method (FEM) and the numerical model is validated by comparing with experimental findings. The parameters governing the studied configuration are varied as: Rayleigh number (10<sup>3</sup> ≤ <i>Ra</i> ≤ 10<sup>6</sup>), power law index (0.6 ≤ <i>n</i> ≤ 1.4), Darcy number (10<sup>−2</sup> ≤ <i>Da</i> ≤ 10<sup>−6</sup>), buoyancy ratio (0.1 ≤ <i>N</i> ≤ 10) and Lewis number (1 ≤ <i>Le</i> ≤ 10). It is inferred that the temperature gradient increases by augmenting the Rayleigh number, as the flow is observed from the vertical to horizontal direction in both layers. Constant enhancement in the heat and mass transfer is also observed by enriching the buoyancy effect. Moreover, the average Nusselt and Sherwood numbers decline by increasing the width of the porous layer.https://www.mdpi.com/2227-7390/10/7/1060non-Newtonian fluidlayersdouble diffusivenatural convectionFEM |
| spellingShingle | Lioua Kolsi Shafqat Hussain Kaouther Ghachem Muhammad Jamal Chemseddine Maatki Double Diffusive Natural Convection in a Square Cavity Filled with a Porous Media and a Power Law Fluid Separated by a Wavy Interface Mathematics non-Newtonian fluid layers double diffusive natural convection FEM |
| title | Double Diffusive Natural Convection in a Square Cavity Filled with a Porous Media and a Power Law Fluid Separated by a Wavy Interface |
| title_full | Double Diffusive Natural Convection in a Square Cavity Filled with a Porous Media and a Power Law Fluid Separated by a Wavy Interface |
| title_fullStr | Double Diffusive Natural Convection in a Square Cavity Filled with a Porous Media and a Power Law Fluid Separated by a Wavy Interface |
| title_full_unstemmed | Double Diffusive Natural Convection in a Square Cavity Filled with a Porous Media and a Power Law Fluid Separated by a Wavy Interface |
| title_short | Double Diffusive Natural Convection in a Square Cavity Filled with a Porous Media and a Power Law Fluid Separated by a Wavy Interface |
| title_sort | double diffusive natural convection in a square cavity filled with a porous media and a power law fluid separated by a wavy interface |
| topic | non-Newtonian fluid layers double diffusive natural convection FEM |
| url | https://www.mdpi.com/2227-7390/10/7/1060 |
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