Nonlinear Thermal Response Analysis of an Internally Heated Radiative-Convective Porous Fin subjected to Magnetic Fields using Method of Lines
This paper demonstrated the computational efficiency and accuracy of method of lines for the nonlinear transient thermal response analysis of a radiative-radiative porous fin with temperature-dependent internal heat generation under the influence of magnetic fields. To establish the computational...
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| Format: | Article |
| Language: | English |
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Universidade Federal de Viçosa (UFV)
2022-11-01
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| Series: | The Journal of Engineering and Exact Sciences |
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| Online Access: | https://periodicos.ufv.br/jcec/article/view/14801 |
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| author | Gbeminiyi Musibau Sobamowo Ridwan Oladotun Olagbadamosi Arinola Bola Ajayi Nehemiah Sabinus Alozie Antonio Marcos de Oliveira Siqueira |
| author_facet | Gbeminiyi Musibau Sobamowo Ridwan Oladotun Olagbadamosi Arinola Bola Ajayi Nehemiah Sabinus Alozie Antonio Marcos de Oliveira Siqueira |
| author_sort | Gbeminiyi Musibau Sobamowo |
| collection | DOAJ |
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This paper demonstrated the computational efficiency and accuracy of method of lines for the nonlinear transient thermal response analysis of a radiative-radiative porous fin with temperature-dependent internal heat generation under the influence of magnetic fields. To establish the computational accuracy of the method, the results of the solution are compared with the results of the developed exact analytical method. Also, the numerical solutions through the method of lines are adopted to explore the impacts of the model parameters on the performance of the passive device. It is found that as the conductive-convective, conductive-radiative, and magnetic field parameters increase, the fin temperature distribution in the fin decreases. The temperature distribution in the fin increases through the ?n as the nonlinear thermal conductivity parameter increases. It is hoped that the present study gives a good insight into the nonlinear analysis of the extended surface which will aid the proper design of the extended surfaces in thermal systems.
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| format | Article |
| id | doaj-art-9f57b2f522dc49efbfc92a604a3b6e7b |
| institution | Kabale University |
| issn | 2527-1075 |
| language | English |
| publishDate | 2022-11-01 |
| publisher | Universidade Federal de Viçosa (UFV) |
| record_format | Article |
| series | The Journal of Engineering and Exact Sciences |
| spelling | doaj-art-9f57b2f522dc49efbfc92a604a3b6e7b2025-02-02T19:55:49ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752022-11-0181010.18540/jcecvl8iss10pp14801-01iNonlinear Thermal Response Analysis of an Internally Heated Radiative-Convective Porous Fin subjected to Magnetic Fields using Method of LinesGbeminiyi Musibau Sobamowo0Ridwan Oladotun Olagbadamosi1Arinola Bola Ajayi2Nehemiah Sabinus Alozie3Antonio Marcos de Oliveira Siqueira4University of Lagos, Akoka Lagos, NigeriaLagos State University, Epe Campus, Lagos, Nigeria University of Lagos, Akoka Lagos, NigeriaUniversity of Lagos, Akoka Lagos, NigeriaFederal University of Viçosa, Brazil This paper demonstrated the computational efficiency and accuracy of method of lines for the nonlinear transient thermal response analysis of a radiative-radiative porous fin with temperature-dependent internal heat generation under the influence of magnetic fields. To establish the computational accuracy of the method, the results of the solution are compared with the results of the developed exact analytical method. Also, the numerical solutions through the method of lines are adopted to explore the impacts of the model parameters on the performance of the passive device. It is found that as the conductive-convective, conductive-radiative, and magnetic field parameters increase, the fin temperature distribution in the fin decreases. The temperature distribution in the fin increases through the ?n as the nonlinear thermal conductivity parameter increases. It is hoped that the present study gives a good insight into the nonlinear analysis of the extended surface which will aid the proper design of the extended surfaces in thermal systems. https://periodicos.ufv.br/jcec/article/view/14801Method of lines. Rectangular porous Fin. Nonlinear analysis. Numerical Investigation. Thermal studies. |
| spellingShingle | Gbeminiyi Musibau Sobamowo Ridwan Oladotun Olagbadamosi Arinola Bola Ajayi Nehemiah Sabinus Alozie Antonio Marcos de Oliveira Siqueira Nonlinear Thermal Response Analysis of an Internally Heated Radiative-Convective Porous Fin subjected to Magnetic Fields using Method of Lines The Journal of Engineering and Exact Sciences Method of lines. Rectangular porous Fin. Nonlinear analysis. Numerical Investigation. Thermal studies. |
| title | Nonlinear Thermal Response Analysis of an Internally Heated Radiative-Convective Porous Fin subjected to Magnetic Fields using Method of Lines |
| title_full | Nonlinear Thermal Response Analysis of an Internally Heated Radiative-Convective Porous Fin subjected to Magnetic Fields using Method of Lines |
| title_fullStr | Nonlinear Thermal Response Analysis of an Internally Heated Radiative-Convective Porous Fin subjected to Magnetic Fields using Method of Lines |
| title_full_unstemmed | Nonlinear Thermal Response Analysis of an Internally Heated Radiative-Convective Porous Fin subjected to Magnetic Fields using Method of Lines |
| title_short | Nonlinear Thermal Response Analysis of an Internally Heated Radiative-Convective Porous Fin subjected to Magnetic Fields using Method of Lines |
| title_sort | nonlinear thermal response analysis of an internally heated radiative convective porous fin subjected to magnetic fields using method of lines |
| topic | Method of lines. Rectangular porous Fin. Nonlinear analysis. Numerical Investigation. Thermal studies. |
| url | https://periodicos.ufv.br/jcec/article/view/14801 |
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