Impacts of high viscosity variation and internal heating on mantle convection in different aspect ratio cells
This study examines the Rayleigh-Bénard convection model with free slip boundary conditions appropriate for the Earth's mantle in narrow and elongated cells with aspect ratios of 1:2 and 2:1, respectively. The primary goal of this research is to analyze the convection pattern at high Rayleigh n...
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| Language: | English |
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Elsevier
2025-08-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844025021085 |
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| author | Tania S. Khaleque Md. Shafiul A. Khan Romana Yesmin |
| author_facet | Tania S. Khaleque Md. Shafiul A. Khan Romana Yesmin |
| author_sort | Tania S. Khaleque |
| collection | DOAJ |
| description | This study examines the Rayleigh-Bénard convection model with free slip boundary conditions appropriate for the Earth's mantle in narrow and elongated cells with aspect ratios of 1:2 and 2:1, respectively. The primary goal of this research is to analyze the convection pattern at high Rayleigh number, including internal heating and significant viscosity variation across the mantle depth. Finite element method-based PDE solver is used to solve the model, incorporating viscosity based on both temperature only and temperature and pressure combined. The Nusselt number and Root Mean Square Velocity are computed and presented in tabular form. The stream function contours reveal that splitting of convection cell occurs in narrow cell only with temperature-dependent viscous convection at high internal heating. On the other hand, two square cell convection pattern is the most stable choice for elongated cell for both types of viscosity functions with significant presence of internal heating. Nusselt number vs Rayleigh number graphs indicate that the heat transfer efficiency is highest in narrow cell compared to unit aspect ratio and elongated convection cell. |
| format | Article |
| id | doaj-art-ea88d173fa0f4e32a1e0f5e4d10df3fd |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-ea88d173fa0f4e32a1e0f5e4d10df3fd2025-08-20T04:01:03ZengElsevierHeliyon2405-84402025-08-011113e4371910.1016/j.heliyon.2025.e43719Impacts of high viscosity variation and internal heating on mantle convection in different aspect ratio cellsTania S. Khaleque0Md. Shafiul A. Khan1Romana Yesmin2Corresponding author.; Department of Applied Mathematics, University of Dhaka, Dhaka-1000, BangladeshDepartment of Applied Mathematics, University of Dhaka, Dhaka-1000, BangladeshDepartment of Applied Mathematics, University of Dhaka, Dhaka-1000, BangladeshThis study examines the Rayleigh-Bénard convection model with free slip boundary conditions appropriate for the Earth's mantle in narrow and elongated cells with aspect ratios of 1:2 and 2:1, respectively. The primary goal of this research is to analyze the convection pattern at high Rayleigh number, including internal heating and significant viscosity variation across the mantle depth. Finite element method-based PDE solver is used to solve the model, incorporating viscosity based on both temperature only and temperature and pressure combined. The Nusselt number and Root Mean Square Velocity are computed and presented in tabular form. The stream function contours reveal that splitting of convection cell occurs in narrow cell only with temperature-dependent viscous convection at high internal heating. On the other hand, two square cell convection pattern is the most stable choice for elongated cell for both types of viscosity functions with significant presence of internal heating. Nusselt number vs Rayleigh number graphs indicate that the heat transfer efficiency is highest in narrow cell compared to unit aspect ratio and elongated convection cell.http://www.sciencedirect.com/science/article/pii/S2405844025021085Rayleigh-Bénard convectionVariable viscosityInternal heatingNusselt numberRayleigh numberAspect ratio |
| spellingShingle | Tania S. Khaleque Md. Shafiul A. Khan Romana Yesmin Impacts of high viscosity variation and internal heating on mantle convection in different aspect ratio cells Heliyon Rayleigh-Bénard convection Variable viscosity Internal heating Nusselt number Rayleigh number Aspect ratio |
| title | Impacts of high viscosity variation and internal heating on mantle convection in different aspect ratio cells |
| title_full | Impacts of high viscosity variation and internal heating on mantle convection in different aspect ratio cells |
| title_fullStr | Impacts of high viscosity variation and internal heating on mantle convection in different aspect ratio cells |
| title_full_unstemmed | Impacts of high viscosity variation and internal heating on mantle convection in different aspect ratio cells |
| title_short | Impacts of high viscosity variation and internal heating on mantle convection in different aspect ratio cells |
| title_sort | impacts of high viscosity variation and internal heating on mantle convection in different aspect ratio cells |
| topic | Rayleigh-Bénard convection Variable viscosity Internal heating Nusselt number Rayleigh number Aspect ratio |
| url | http://www.sciencedirect.com/science/article/pii/S2405844025021085 |
| work_keys_str_mv | AT taniaskhaleque impactsofhighviscosityvariationandinternalheatingonmantleconvectionindifferentaspectratiocells AT mdshafiulakhan impactsofhighviscosityvariationandinternalheatingonmantleconvectionindifferentaspectratiocells AT romanayesmin impactsofhighviscosityvariationandinternalheatingonmantleconvectionindifferentaspectratiocells |