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DOI:http://dx.doi.org/10.26855/jamc.2022.06.008

Impacts of Magnetic Field, Internal Heat Generation, Ambient and Fin Surface Temperatures on the Thermal Performance of Radiating Fin with Variable Thermal Conductivity

Date: June 7,2022 |Hits: 201 Download PDF How to cite this paper

M. G. Sobamowo1,*, O. A. Adeleye2, A. A. Yinusa1, B. O. Adesoye1, O. C. Osih1

1Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria.

2Department of Biomedical Engineering, University of Lagos, Akoka, Lagos, Nigeria.

*Corresponding author: M. G. Sobamowo

Abstract

Radiating fins are commonly used in radiators to augment the heat transfer between a primary surface and the environment. However, the thermal performance of such passive device is significantly influenced by several internal and external factors. Therefore, in this work, the impacts of internal heat generation, magnetic field, ambient and fin surface temperatures on the thermal response of a radiating fin with temperature-dependent thermal conductivity is examined using differential transformation method. The results of the power series solutions are verified numerically, and very good agreements are established. The symbolic solutions are used to examine the effects of the internal and external conditions on the thermal performance of the passive device. It is found that as the conductive-radiative and magnetic field parameters increase, the fin temperature distribution in the fin decreases which the heat transfer rate through the fin is augmented and hence, the fin thermal efficiency is improved. The temperature distribution in the fin increases through the fin as the nonlinear thermal conductivity parameter increases. When the value of the internal heat generation increases, the temperature distribution through the extended surface increases. The ambient temperature increases, the fin temperature decreases. However, an increase in the radiation sink temperature causes the radiative heat loss to decrease but the temperature within the fin to increase. The developed analytical solutions provide a good platform for the nonlinear thermal analysis of the fin and proper design of the extended surfaces in thermal systems.

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How to cite this paper

Impacts of Magnetic Field, Internal Heat Generation, Ambient and Fin Surface Temperatures on the Thermal Performance of Radiating Fin with Variable Thermal Conductivity

How to cite this paper:  M. G. Sobamowo, O. A. Adeleye, A. A. Yinusa, B. O. Adesoye, O. C. Osih. (2022) Impacts of Magnetic Field, Internal Heat Generation, Ambient and Fin Surface Temperatures on the Thermal Performance of Radiating Fin with Variable Thermal Conductivity. Journal of Applied Mathematics and Computation6(2), 235-245.

DOI: http://dx.doi.org/10.26855/jamc.2022.06.008

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