Numerical investigation of natural convection slip flow affected by magnetic field in two-dimensional microchannel
The numerical study examines the development of steady state free convection in an open-ended vertical microchannel, heated by symmetric and asymmetric wall temperatures, and with a constant transverse magnetic field. The first order model accounts for slip velocity and temperature jumps at the chan...
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Elsevier
2025-05-01
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| Series: | International Journal of Thermofluids |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S266620272500165X |
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| author | Mohsen Saghafian Mehdi Moslehi Omid Ali Akbari |
| author_facet | Mohsen Saghafian Mehdi Moslehi Omid Ali Akbari |
| author_sort | Mohsen Saghafian |
| collection | DOAJ |
| description | The numerical study examines the development of steady state free convection in an open-ended vertical microchannel, heated by symmetric and asymmetric wall temperatures, and with a constant transverse magnetic field. The first order model accounts for slip velocity and temperature jumps at the channel walls. The SIMPLE-C co-located body fitted algorithm is used. For convection terms, QUICK scheme and for diffusion terms, central difference are used. The interplay among Hartmann number, Knudsen number, Grashof number, and heat flux ratio is investigated graphically to understand their influence on velocity and temperature profiles, Nusselt number, and mass flow rate. The results of this research show that, for all Grashof numbers and heat flux ratios, the mass flow rate decreases as the velocity does with an elevated Hartmann number. The Hartmann number determines the rate of temperature increase along the channel walls and through the channel's cross section. In higher Knudsen numbers, these effects are more pronounced. In larger Grashof numbers, the impact of magnetic forces on velocity and temperature profiles wanes for all heat flux ratios, resulting in minor Nusselt number changes with growing Hartmann numbers. At lower Grashof numbers, a higher Hartmann number causes a rise in average wall temperature which decreases the Nusselt number. The mass flow rate and average Nusselt number become greater as heat flux ratio increases. For all considered Hartmann numbers, their behavior shows a near-linear trend with heat flux ratio. |
| format | Article |
| id | doaj-art-f593d8da06ca4bc6a524fb77c3d666fc |
| institution | OA Journals |
| issn | 2666-2027 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | International Journal of Thermofluids |
| spelling | doaj-art-f593d8da06ca4bc6a524fb77c3d666fc2025-08-20T02:24:42ZengElsevierInternational Journal of Thermofluids2666-20272025-05-012710121810.1016/j.ijft.2025.101218Numerical investigation of natural convection slip flow affected by magnetic field in two-dimensional microchannelMohsen Saghafian0Mehdi Moslehi1Omid Ali Akbari2Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, , Iran; Corresponding author at: Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, IranDepartment of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, , IranDepartment of Mechanical Engineering, Faculty of Engineering, Arak University, Arak 38156-88349, Iran; Corresponding author at: Department of Mechanical Engineering, Faculty of Engineering, Arak University, Arak 38156-88349, IranThe numerical study examines the development of steady state free convection in an open-ended vertical microchannel, heated by symmetric and asymmetric wall temperatures, and with a constant transverse magnetic field. The first order model accounts for slip velocity and temperature jumps at the channel walls. The SIMPLE-C co-located body fitted algorithm is used. For convection terms, QUICK scheme and for diffusion terms, central difference are used. The interplay among Hartmann number, Knudsen number, Grashof number, and heat flux ratio is investigated graphically to understand their influence on velocity and temperature profiles, Nusselt number, and mass flow rate. The results of this research show that, for all Grashof numbers and heat flux ratios, the mass flow rate decreases as the velocity does with an elevated Hartmann number. The Hartmann number determines the rate of temperature increase along the channel walls and through the channel's cross section. In higher Knudsen numbers, these effects are more pronounced. In larger Grashof numbers, the impact of magnetic forces on velocity and temperature profiles wanes for all heat flux ratios, resulting in minor Nusselt number changes with growing Hartmann numbers. At lower Grashof numbers, a higher Hartmann number causes a rise in average wall temperature which decreases the Nusselt number. The mass flow rate and average Nusselt number become greater as heat flux ratio increases. For all considered Hartmann numbers, their behavior shows a near-linear trend with heat flux ratio.http://www.sciencedirect.com/science/article/pii/S266620272500165XVertical microchannelHeat transferMagnetic fieldNusselt numberGrashof numbersHeat flux ratio |
| spellingShingle | Mohsen Saghafian Mehdi Moslehi Omid Ali Akbari Numerical investigation of natural convection slip flow affected by magnetic field in two-dimensional microchannel International Journal of Thermofluids Vertical microchannel Heat transfer Magnetic field Nusselt number Grashof numbers Heat flux ratio |
| title | Numerical investigation of natural convection slip flow affected by magnetic field in two-dimensional microchannel |
| title_full | Numerical investigation of natural convection slip flow affected by magnetic field in two-dimensional microchannel |
| title_fullStr | Numerical investigation of natural convection slip flow affected by magnetic field in two-dimensional microchannel |
| title_full_unstemmed | Numerical investigation of natural convection slip flow affected by magnetic field in two-dimensional microchannel |
| title_short | Numerical investigation of natural convection slip flow affected by magnetic field in two-dimensional microchannel |
| title_sort | numerical investigation of natural convection slip flow affected by magnetic field in two dimensional microchannel |
| topic | Vertical microchannel Heat transfer Magnetic field Nusselt number Grashof numbers Heat flux ratio |
| url | http://www.sciencedirect.com/science/article/pii/S266620272500165X |
| work_keys_str_mv | AT mohsensaghafian numericalinvestigationofnaturalconvectionslipflowaffectedbymagneticfieldintwodimensionalmicrochannel AT mehdimoslehi numericalinvestigationofnaturalconvectionslipflowaffectedbymagneticfieldintwodimensionalmicrochannel AT omidaliakbari numericalinvestigationofnaturalconvectionslipflowaffectedbymagneticfieldintwodimensionalmicrochannel |