Three-dimensional non-Darcy free convective heat transfer flow in a bidisperse porous medium within a cubical cavity
Heat transport in porous media, especially in a bidisperse porous matrix, has recently received considerable attention due to its diverse real-life applications in applied science and engineering. In the current study, we employ the Darcy-Brinkman-Forchheimer model and three temperature equations in...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-11-01
|
| Series: | International Journal of Thermofluids |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666202723001301 |
| _version_ | 1797401725408116736 |
|---|---|
| author | Sheikha M. Al-Weheibi M.M. Rahman M.Z. Saghir |
| author_facet | Sheikha M. Al-Weheibi M.M. Rahman M.Z. Saghir |
| author_sort | Sheikha M. Al-Weheibi |
| collection | DOAJ |
| description | Heat transport in porous media, especially in a bidisperse porous matrix, has recently received considerable attention due to its diverse real-life applications in applied science and engineering. In the current study, we employ the Darcy-Brinkman-Forchheimer model and three temperature equations incorporating the local thermal nonequilibrium conditions among the fluid and the porous matrix to examine the three-dimensional free convective heat transfer flow in a bidisperse permeable matrix inside a cubical cavity. The Galerkin weighted residual finite element method simulates the model's non-dimensional governing equations. We examine the effects of the significant model parameters on the flow and heat domains considering (104 ≤ Raf ≤ 106), (103 ≤ Rap ≤ 106), (10−3 ≤ Daf ≤ 10−1), (10−4 ≤ Dap ≤ 10−2),(0.7 ≤ ϕ ≤ 0.9) and (0.4 ≤ ε ≤ 0.7). It is found that the average Nusselt number in the macrophase, microphase, and solid matrix increased with the increase of the macro porosity for about 7.18%, 7.06%, and 9.86%, respectively, when it rises from 0.7 to 0.9. Furthermore, increasing the micro-porosity enhances the rate of heat transfer. As the Raleigh number advances, there is a noticeable increase in heat transfer in both the macrophase and the microphase. |
| first_indexed | 2024-03-09T02:14:14Z |
| format | Article |
| id | doaj.art-ee5d98d5990a4080b2d55fa550e477cb |
| institution | Directory Open Access Journal |
| issn | 2666-2027 |
| language | English |
| last_indexed | 2024-03-09T02:14:14Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | International Journal of Thermofluids |
| spelling | doaj.art-ee5d98d5990a4080b2d55fa550e477cb2023-12-07T05:30:40ZengElsevierInternational Journal of Thermofluids2666-20272023-11-0120100413Three-dimensional non-Darcy free convective heat transfer flow in a bidisperse porous medium within a cubical cavitySheikha M. Al-Weheibi0M.M. Rahman1M.Z. Saghir2Department of Mathematics, College of Science, Sultan Qaboos University, P.O. Box 36, P.C. 123 Al-Khod, Muscat, Sultanate of OmanDepartment of Mathematics, College of Science, Sultan Qaboos University, P.O. Box 36, P.C. 123 Al-Khod, Muscat, Sultanate of Oman; Corresponding author.Department of Mechanical and Industrial Engineering, Toronto Metropolitan University, Toronto, CanadaHeat transport in porous media, especially in a bidisperse porous matrix, has recently received considerable attention due to its diverse real-life applications in applied science and engineering. In the current study, we employ the Darcy-Brinkman-Forchheimer model and three temperature equations incorporating the local thermal nonequilibrium conditions among the fluid and the porous matrix to examine the three-dimensional free convective heat transfer flow in a bidisperse permeable matrix inside a cubical cavity. The Galerkin weighted residual finite element method simulates the model's non-dimensional governing equations. We examine the effects of the significant model parameters on the flow and heat domains considering (104 ≤ Raf ≤ 106), (103 ≤ Rap ≤ 106), (10−3 ≤ Daf ≤ 10−1), (10−4 ≤ Dap ≤ 10−2),(0.7 ≤ ϕ ≤ 0.9) and (0.4 ≤ ε ≤ 0.7). It is found that the average Nusselt number in the macrophase, microphase, and solid matrix increased with the increase of the macro porosity for about 7.18%, 7.06%, and 9.86%, respectively, when it rises from 0.7 to 0.9. Furthermore, increasing the micro-porosity enhances the rate of heat transfer. As the Raleigh number advances, there is a noticeable increase in heat transfer in both the macrophase and the microphase.http://www.sciencedirect.com/science/article/pii/S2666202723001301Free convectionBidisperse permeable matrixCubical cavityNon-Darcy flowLocal thermal non-equilibrium |
| spellingShingle | Sheikha M. Al-Weheibi M.M. Rahman M.Z. Saghir Three-dimensional non-Darcy free convective heat transfer flow in a bidisperse porous medium within a cubical cavity International Journal of Thermofluids Free convection Bidisperse permeable matrix Cubical cavity Non-Darcy flow Local thermal non-equilibrium |
| title | Three-dimensional non-Darcy free convective heat transfer flow in a bidisperse porous medium within a cubical cavity |
| title_full | Three-dimensional non-Darcy free convective heat transfer flow in a bidisperse porous medium within a cubical cavity |
| title_fullStr | Three-dimensional non-Darcy free convective heat transfer flow in a bidisperse porous medium within a cubical cavity |
| title_full_unstemmed | Three-dimensional non-Darcy free convective heat transfer flow in a bidisperse porous medium within a cubical cavity |
| title_short | Three-dimensional non-Darcy free convective heat transfer flow in a bidisperse porous medium within a cubical cavity |
| title_sort | three dimensional non darcy free convective heat transfer flow in a bidisperse porous medium within a cubical cavity |
| topic | Free convection Bidisperse permeable matrix Cubical cavity Non-Darcy flow Local thermal non-equilibrium |
| url | http://www.sciencedirect.com/science/article/pii/S2666202723001301 |
| work_keys_str_mv | AT sheikhamalweheibi threedimensionalnondarcyfreeconvectiveheattransferflowinabidisperseporousmediumwithinacubicalcavity AT mmrahman threedimensionalnondarcyfreeconvectiveheattransferflowinabidisperseporousmediumwithinacubicalcavity AT mzsaghir threedimensionalnondarcyfreeconvectiveheattransferflowinabidisperseporousmediumwithinacubicalcavity |