Asymptotic and Dynamical Analyses of Heat Transfer through a Rectangular Longitudinal Fin
The steady heat transfer through a rectangular longitudinal fin is studied. The thermal conductivity and heat transfer coefficient are assumed to be temperature dependent making the resulting ordinary differential equation (ODE) highly nonlinear. An asymptotic solution is used as a means of understa...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/987327 |
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| _version_ | 1850171416914165760 |
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| author | C. Harley |
| author_facet | C. Harley |
| author_sort | C. Harley |
| collection | DOAJ |
| description | The steady heat transfer through a rectangular longitudinal fin is studied. The thermal conductivity and heat transfer coefficient are assumed to be temperature dependent making the resulting ordinary differential equation (ODE) highly nonlinear. An asymptotic
solution is used as a means of understanding the relationship between key parameters. A dynamical analysis is also employed for the same purpose. |
| format | Article |
| id | doaj-art-9a999895fd774846b1ed3f1937afbbb4 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9a999895fd774846b1ed3f1937afbbb42025-08-20T02:20:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/987327987327Asymptotic and Dynamical Analyses of Heat Transfer through a Rectangular Longitudinal FinC. Harley0Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South AfricaThe steady heat transfer through a rectangular longitudinal fin is studied. The thermal conductivity and heat transfer coefficient are assumed to be temperature dependent making the resulting ordinary differential equation (ODE) highly nonlinear. An asymptotic solution is used as a means of understanding the relationship between key parameters. A dynamical analysis is also employed for the same purpose.http://dx.doi.org/10.1155/2013/987327 |
| spellingShingle | C. Harley Asymptotic and Dynamical Analyses of Heat Transfer through a Rectangular Longitudinal Fin Journal of Applied Mathematics |
| title | Asymptotic and Dynamical Analyses of Heat Transfer through a Rectangular Longitudinal Fin |
| title_full | Asymptotic and Dynamical Analyses of Heat Transfer through a Rectangular Longitudinal Fin |
| title_fullStr | Asymptotic and Dynamical Analyses of Heat Transfer through a Rectangular Longitudinal Fin |
| title_full_unstemmed | Asymptotic and Dynamical Analyses of Heat Transfer through a Rectangular Longitudinal Fin |
| title_short | Asymptotic and Dynamical Analyses of Heat Transfer through a Rectangular Longitudinal Fin |
| title_sort | asymptotic and dynamical analyses of heat transfer through a rectangular longitudinal fin |
| url | http://dx.doi.org/10.1155/2013/987327 |
| work_keys_str_mv | AT charley asymptoticanddynamicalanalysesofheattransferthrougharectangularlongitudinalfin |