Exact solutions for porous fins under a uniform magnetic field: A novel reduction method
This study presents a novel reduction method to obtain exact solutions for the behavior of a porous fin under a uniform magnetic field, considering the effects of convection, radiation, and internal heat generation. The study applies the reduction method to simplify the governing equations and reduc...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-05-01
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| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X23003192 |
| _version_ | 1797832712204058624 |
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| author | Yun-Jie Xu Mir Sajjad Hashemi |
| author_facet | Yun-Jie Xu Mir Sajjad Hashemi |
| author_sort | Yun-Jie Xu |
| collection | DOAJ |
| description | This study presents a novel reduction method to obtain exact solutions for the behavior of a porous fin under a uniform magnetic field, considering the effects of convection, radiation, and internal heat generation. The study applies the reduction method to simplify the governing equations and reduce the complexity of the mathematical model, making it possible to obtain closed-form solutions. The results of the analysis provide a comprehensive understanding of the behavior of the porous fin, including the temperature distribution and heat transfer characteristics, and the impact of the magnetic field on its performance. The findings of this research could be useful for the analysis and description of various heat transfer and energy systems that involve porous fins in magnetic fields. |
| first_indexed | 2024-04-09T14:13:22Z |
| format | Article |
| id | doaj.art-a8fb2284629b4633a75a998f50148ea1 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-04-09T14:13:22Z |
| publishDate | 2023-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-a8fb2284629b4633a75a998f50148ea12023-05-06T04:38:15ZengElsevierCase Studies in Thermal Engineering2214-157X2023-05-0145103013Exact solutions for porous fins under a uniform magnetic field: A novel reduction methodYun-Jie Xu0Mir Sajjad Hashemi1School of Engineering, Huzhou University, Huzhou 313000, PR ChinaDepartment of Computer Engineering, Biruni University, 34010 Istanbul, Turkey; Corresponding author.This study presents a novel reduction method to obtain exact solutions for the behavior of a porous fin under a uniform magnetic field, considering the effects of convection, radiation, and internal heat generation. The study applies the reduction method to simplify the governing equations and reduce the complexity of the mathematical model, making it possible to obtain closed-form solutions. The results of the analysis provide a comprehensive understanding of the behavior of the porous fin, including the temperature distribution and heat transfer characteristics, and the impact of the magnetic field on its performance. The findings of this research could be useful for the analysis and description of various heat transfer and energy systems that involve porous fins in magnetic fields.http://www.sciencedirect.com/science/article/pii/S2214157X23003192Convective–Radiative Porous FinNucci’s reduction methodClosed-form solutionFirst integral |
| spellingShingle | Yun-Jie Xu Mir Sajjad Hashemi Exact solutions for porous fins under a uniform magnetic field: A novel reduction method Case Studies in Thermal Engineering Convective–Radiative Porous Fin Nucci’s reduction method Closed-form solution First integral |
| title | Exact solutions for porous fins under a uniform magnetic field: A novel reduction method |
| title_full | Exact solutions for porous fins under a uniform magnetic field: A novel reduction method |
| title_fullStr | Exact solutions for porous fins under a uniform magnetic field: A novel reduction method |
| title_full_unstemmed | Exact solutions for porous fins under a uniform magnetic field: A novel reduction method |
| title_short | Exact solutions for porous fins under a uniform magnetic field: A novel reduction method |
| title_sort | exact solutions for porous fins under a uniform magnetic field a novel reduction method |
| topic | Convective–Radiative Porous Fin Nucci’s reduction method Closed-form solution First integral |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X23003192 |
| work_keys_str_mv | AT yunjiexu exactsolutionsforporousfinsunderauniformmagneticfieldanovelreductionmethod AT mirsajjadhashemi exactsolutionsforporousfinsunderauniformmagneticfieldanovelreductionmethod |