Magnetohydrodynamic mixed convective heat transfer augmentation in a rectangular lid-driven enclosure with a circular hollow cylinder utilizing nanofluids
The study of magnetohydrodynamic (MHD) effects in a rectangular lid-driven enclosure containing a circular hollow cylinder aims at the utilization of nanofluids markedly enhances heat transmission, leading to enhanced thermal performance and more efficient cooling approaches. The governing equations...
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Elsevier
2025-01-01
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| Series: | International Journal of Thermofluids |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666202724004531 |
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| author | U.K. Suma M. Masum Billah Aminur Rahman Khan K.E. Hoque |
| author_facet | U.K. Suma M. Masum Billah Aminur Rahman Khan K.E. Hoque |
| author_sort | U.K. Suma |
| collection | DOAJ |
| description | The study of magnetohydrodynamic (MHD) effects in a rectangular lid-driven enclosure containing a circular hollow cylinder aims at the utilization of nanofluids markedly enhances heat transmission, leading to enhanced thermal performance and more efficient cooling approaches. The governing equations along with the boundary conditions of the problem have been transformed into a non-dimensional formulation. Finite element method based on Galarkin weighted residual has been employed to figure out the outcome of the non-dimensional and non-linear PDEs. The computational investigations of the flow and thermal field inside the enclosure have been performed by varying the governing and physical parameters, namely: Richardson number (0.1 ≤ Ri ≤ 10), Hartman number (0 ≤ Ha ≤ 100), cylinder diameter (0.09 ≤ D ≤ 0.20), solid volume fraction (0.001 ≤ δ ≤ 0.05)), inclination of magnetic field (0° ≤ ϕ ≤ 90°), and non-dimensional time (0.1 ≤ τ ≤ 1). The numerical investigation shows that the flow pattern, temperature distribution, average Nusselt number (Nuav) at the heated surface, and average fluid temperature (θav) inside the enclosure are notably affected by the aforementioned parameters. In this study, six different water-based nanofluids containing different nanoparticles: Cu, Zn, ZnO, Al₂O₃, Fe₃O₄, and graphene have been considered. It was found that the graphene-water nanofluid demonstrated higher thermal efficiency than the other considered nanofluids. Computational results illustrate that the heat transfer rate increases by 41.66 % as the Richardson number increases from 0.1 to 10, indicating that the convective heat transfer mood is considerably improved. However, an increase in the Hartmann number from 0 to 100 leads to a 37.50 % reduction in average heat transfer within the cavity. |
| format | Article |
| id | doaj-art-c4c9e48218264c239d2b79e3405da79c |
| institution | Kabale University |
| issn | 2666-2027 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | International Journal of Thermofluids |
| spelling | doaj-art-c4c9e48218264c239d2b79e3405da79c2025-01-08T04:53:36ZengElsevierInternational Journal of Thermofluids2666-20272025-01-0125101014Magnetohydrodynamic mixed convective heat transfer augmentation in a rectangular lid-driven enclosure with a circular hollow cylinder utilizing nanofluidsU.K. Suma0M. Masum Billah1Aminur Rahman Khan2K.E. Hoque3Department of Mathematics, Jahangirnagar University (JU), Savar, Dhaka-1342, Bangladesh; Department of Mathematics, Bangladesh University (BU), Dhaka-1207, BangladeshDepartment of Arts and Sciences, Ahsanullah University of Science and Technology (AUST), Dhaka-1208, Bangladesh; Corresponding author.Department of Mathematics, Jahangirnagar University (JU), Savar, Dhaka-1342, BangladeshDepartment of Arts and Sciences, Ahsanullah University of Science and Technology (AUST), Dhaka-1208, BangladeshThe study of magnetohydrodynamic (MHD) effects in a rectangular lid-driven enclosure containing a circular hollow cylinder aims at the utilization of nanofluids markedly enhances heat transmission, leading to enhanced thermal performance and more efficient cooling approaches. The governing equations along with the boundary conditions of the problem have been transformed into a non-dimensional formulation. Finite element method based on Galarkin weighted residual has been employed to figure out the outcome of the non-dimensional and non-linear PDEs. The computational investigations of the flow and thermal field inside the enclosure have been performed by varying the governing and physical parameters, namely: Richardson number (0.1 ≤ Ri ≤ 10), Hartman number (0 ≤ Ha ≤ 100), cylinder diameter (0.09 ≤ D ≤ 0.20), solid volume fraction (0.001 ≤ δ ≤ 0.05)), inclination of magnetic field (0° ≤ ϕ ≤ 90°), and non-dimensional time (0.1 ≤ τ ≤ 1). The numerical investigation shows that the flow pattern, temperature distribution, average Nusselt number (Nuav) at the heated surface, and average fluid temperature (θav) inside the enclosure are notably affected by the aforementioned parameters. In this study, six different water-based nanofluids containing different nanoparticles: Cu, Zn, ZnO, Al₂O₃, Fe₃O₄, and graphene have been considered. It was found that the graphene-water nanofluid demonstrated higher thermal efficiency than the other considered nanofluids. Computational results illustrate that the heat transfer rate increases by 41.66 % as the Richardson number increases from 0.1 to 10, indicating that the convective heat transfer mood is considerably improved. However, an increase in the Hartmann number from 0 to 100 leads to a 37.50 % reduction in average heat transfer within the cavity.http://www.sciencedirect.com/science/article/pii/S2666202724004531Lid-driven Cavity, Hollow Cylinder, NanofluidMixed ConvectionAnd Magnetohydrodynamics |
| spellingShingle | U.K. Suma M. Masum Billah Aminur Rahman Khan K.E. Hoque Magnetohydrodynamic mixed convective heat transfer augmentation in a rectangular lid-driven enclosure with a circular hollow cylinder utilizing nanofluids International Journal of Thermofluids Lid-driven Cavity, Hollow Cylinder, Nanofluid Mixed Convection And Magnetohydrodynamics |
| title | Magnetohydrodynamic mixed convective heat transfer augmentation in a rectangular lid-driven enclosure with a circular hollow cylinder utilizing nanofluids |
| title_full | Magnetohydrodynamic mixed convective heat transfer augmentation in a rectangular lid-driven enclosure with a circular hollow cylinder utilizing nanofluids |
| title_fullStr | Magnetohydrodynamic mixed convective heat transfer augmentation in a rectangular lid-driven enclosure with a circular hollow cylinder utilizing nanofluids |
| title_full_unstemmed | Magnetohydrodynamic mixed convective heat transfer augmentation in a rectangular lid-driven enclosure with a circular hollow cylinder utilizing nanofluids |
| title_short | Magnetohydrodynamic mixed convective heat transfer augmentation in a rectangular lid-driven enclosure with a circular hollow cylinder utilizing nanofluids |
| title_sort | magnetohydrodynamic mixed convective heat transfer augmentation in a rectangular lid driven enclosure with a circular hollow cylinder utilizing nanofluids |
| topic | Lid-driven Cavity, Hollow Cylinder, Nanofluid Mixed Convection And Magnetohydrodynamics |
| url | http://www.sciencedirect.com/science/article/pii/S2666202724004531 |
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