Radially inflows and outflows of hydromagnetic viscous fluid between two narrowly flat disks
The study of flow between two parallel flat disks has numerous practical applications in fields such as fluid machinery, cooling systems, and industrial processes. In this context, this paper investigates the laminar, radial flow of a viscous fluid between two flat disks under the influence of a mag...
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| Language: | English |
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Elsevier
2025-03-01
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| Series: | Results in Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S259012302500012X |
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| author | A. Naeem Z. Abbas M.Y. Rafiq |
| author_facet | A. Naeem Z. Abbas M.Y. Rafiq |
| author_sort | A. Naeem |
| collection | DOAJ |
| description | The study of flow between two parallel flat disks has numerous practical applications in fields such as fluid machinery, cooling systems, and industrial processes. In this context, this paper investigates the laminar, radial flow of a viscous fluid between two flat disks under the influence of a magnetic field. An analytical solution for the velocity distribution of both radial inflows and outflows is derived using Jacobi elliptic sine-squared functions. For small Reynolds numbers, the velocity profiles exhibit a parabolic pattern, while higher Reynolds numbers lead to transitions toward turbulence. Symmetric flow behavior is observed for both inflows and outflows, and streamlines are employed to illustrate the flow patterns. Additionally, the pressure and shear stress distributions follow an inverse-square law, with the friction factor remaining unchanged. These findings are significant for understanding and optimizing non-uniform open-channel flows impacted by nonlinear inertia, with real-world applications in designing efficient fluid transport systems, enhancing heat exchangers, and improving the performance of devices such as centrifugal pumps and turbines. |
| format | Article |
| id | doaj-art-47263ffb43784c3497488f5542745f6c |
| institution | Kabale University |
| issn | 2590-1230 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Engineering |
| spelling | doaj-art-47263ffb43784c3497488f5542745f6c2025-01-09T06:14:32ZengElsevierResults in Engineering2590-12302025-03-0125103924Radially inflows and outflows of hydromagnetic viscous fluid between two narrowly flat disksA. Naeem0Z. Abbas1M.Y. Rafiq2Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanCorresponding authors.; Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanCorresponding authors.; Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanThe study of flow between two parallel flat disks has numerous practical applications in fields such as fluid machinery, cooling systems, and industrial processes. In this context, this paper investigates the laminar, radial flow of a viscous fluid between two flat disks under the influence of a magnetic field. An analytical solution for the velocity distribution of both radial inflows and outflows is derived using Jacobi elliptic sine-squared functions. For small Reynolds numbers, the velocity profiles exhibit a parabolic pattern, while higher Reynolds numbers lead to transitions toward turbulence. Symmetric flow behavior is observed for both inflows and outflows, and streamlines are employed to illustrate the flow patterns. Additionally, the pressure and shear stress distributions follow an inverse-square law, with the friction factor remaining unchanged. These findings are significant for understanding and optimizing non-uniform open-channel flows impacted by nonlinear inertia, with real-world applications in designing efficient fluid transport systems, enhancing heat exchangers, and improving the performance of devices such as centrifugal pumps and turbines.http://www.sciencedirect.com/science/article/pii/S259012302500012XRadial flowMHDJacobi elliptic function of the first kindVelocity distribution for inflow and outflowAnalytical solution |
| spellingShingle | A. Naeem Z. Abbas M.Y. Rafiq Radially inflows and outflows of hydromagnetic viscous fluid between two narrowly flat disks Results in Engineering Radial flow MHD Jacobi elliptic function of the first kind Velocity distribution for inflow and outflow Analytical solution |
| title | Radially inflows and outflows of hydromagnetic viscous fluid between two narrowly flat disks |
| title_full | Radially inflows and outflows of hydromagnetic viscous fluid between two narrowly flat disks |
| title_fullStr | Radially inflows and outflows of hydromagnetic viscous fluid between two narrowly flat disks |
| title_full_unstemmed | Radially inflows and outflows of hydromagnetic viscous fluid between two narrowly flat disks |
| title_short | Radially inflows and outflows of hydromagnetic viscous fluid between two narrowly flat disks |
| title_sort | radially inflows and outflows of hydromagnetic viscous fluid between two narrowly flat disks |
| topic | Radial flow MHD Jacobi elliptic function of the first kind Velocity distribution for inflow and outflow Analytical solution |
| url | http://www.sciencedirect.com/science/article/pii/S259012302500012X |
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