Nonlinear Transient Thermal Modeling and Analysis of a Convective-Radiative Fin with Functionally Graded Material in a Magnetic Environment
Nonlinear transient thermal analysis of a convective-radiative fin with functionally graded materials (FGMs) under the influence of magnetic field is presented in this study. The developed nonlinear thermal models of linear, quadratic, and exponential variation of thermal conductivity are solved app...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2019/7878564 |
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| author | M. G. Sobamowo G. A. Oguntala A. A. Yinusa |
| author_facet | M. G. Sobamowo G. A. Oguntala A. A. Yinusa |
| author_sort | M. G. Sobamowo |
| collection | DOAJ |
| description | Nonlinear transient thermal analysis of a convective-radiative fin with functionally graded materials (FGMs) under the influence of magnetic field is presented in this study. The developed nonlinear thermal models of linear, quadratic, and exponential variation of thermal conductivity are solved approximately and analytically using the differential transformation method (DTM). In order to verify the accuracies of the nonlinear solutions, exact analytical solutions are also developed with the aids of Bessel, Legendre, and modified Bessel functions. Good agreements are established between the exact and the approximate analytical solutions. In the parametric studies, effects of heat enhancement capacity of fin with functionally graded material as compared to fin with homogeneous material are investigated. Also, influence of the Lorentz force and radiative heat transfer on the thermal performance of the fin are analyzed. From the results, it is shown that increase in radiative and magnetic field parameters as well as the in-homogeneity index improve the thermal performance of the fin. Also, the transient responses reveal that the FGM fin with quadratic-law and exponential-law function shows the slowest and fasted thermal responses, respectively. This study will provide a very good platform for the design and optimization of an improved heat transfer enhancement in thermal systems, where the surrounding fluid is influenced by a magnetic field. |
| format | Article |
| id | doaj-art-bf0ecc7378f040f1afd441b16c50704e |
| institution | Kabale University |
| issn | 1687-5591 1687-5605 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Modelling and Simulation in Engineering |
| spelling | doaj-art-bf0ecc7378f040f1afd441b16c50704e2025-02-03T01:24:53ZengWileyModelling and Simulation in Engineering1687-55911687-56052019-01-01201910.1155/2019/78785647878564Nonlinear Transient Thermal Modeling and Analysis of a Convective-Radiative Fin with Functionally Graded Material in a Magnetic EnvironmentM. G. Sobamowo0G. A. Oguntala1A. A. Yinusa2Department of Mechanical Engineering, University of Lagos, Akoka, Lagos State, NigeriaSchool of Electrical Engineering and Computer Science, Faculty of Engineering and Informatics, University of Bradford, West Yorkshire, UKDepartment of Mechanical Engineering, University of Lagos, Akoka, Lagos State, NigeriaNonlinear transient thermal analysis of a convective-radiative fin with functionally graded materials (FGMs) under the influence of magnetic field is presented in this study. The developed nonlinear thermal models of linear, quadratic, and exponential variation of thermal conductivity are solved approximately and analytically using the differential transformation method (DTM). In order to verify the accuracies of the nonlinear solutions, exact analytical solutions are also developed with the aids of Bessel, Legendre, and modified Bessel functions. Good agreements are established between the exact and the approximate analytical solutions. In the parametric studies, effects of heat enhancement capacity of fin with functionally graded material as compared to fin with homogeneous material are investigated. Also, influence of the Lorentz force and radiative heat transfer on the thermal performance of the fin are analyzed. From the results, it is shown that increase in radiative and magnetic field parameters as well as the in-homogeneity index improve the thermal performance of the fin. Also, the transient responses reveal that the FGM fin with quadratic-law and exponential-law function shows the slowest and fasted thermal responses, respectively. This study will provide a very good platform for the design and optimization of an improved heat transfer enhancement in thermal systems, where the surrounding fluid is influenced by a magnetic field.http://dx.doi.org/10.1155/2019/7878564 |
| spellingShingle | M. G. Sobamowo G. A. Oguntala A. A. Yinusa Nonlinear Transient Thermal Modeling and Analysis of a Convective-Radiative Fin with Functionally Graded Material in a Magnetic Environment Modelling and Simulation in Engineering |
| title | Nonlinear Transient Thermal Modeling and Analysis of a Convective-Radiative Fin with Functionally Graded Material in a Magnetic Environment |
| title_full | Nonlinear Transient Thermal Modeling and Analysis of a Convective-Radiative Fin with Functionally Graded Material in a Magnetic Environment |
| title_fullStr | Nonlinear Transient Thermal Modeling and Analysis of a Convective-Radiative Fin with Functionally Graded Material in a Magnetic Environment |
| title_full_unstemmed | Nonlinear Transient Thermal Modeling and Analysis of a Convective-Radiative Fin with Functionally Graded Material in a Magnetic Environment |
| title_short | Nonlinear Transient Thermal Modeling and Analysis of a Convective-Radiative Fin with Functionally Graded Material in a Magnetic Environment |
| title_sort | nonlinear transient thermal modeling and analysis of a convective radiative fin with functionally graded material in a magnetic environment |
| url | http://dx.doi.org/10.1155/2019/7878564 |
| work_keys_str_mv | AT mgsobamowo nonlineartransientthermalmodelingandanalysisofaconvectiveradiativefinwithfunctionallygradedmaterialinamagneticenvironment AT gaoguntala nonlineartransientthermalmodelingandanalysisofaconvectiveradiativefinwithfunctionallygradedmaterialinamagneticenvironment AT aayinusa nonlineartransientthermalmodelingandanalysisofaconvectiveradiativefinwithfunctionallygradedmaterialinamagneticenvironment |