Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environment
This article studies the thermal performance of a moving fin with temperature-dependent thermal conductivity in a convective and radiative environment. It corresponds to a nonlinear heat transfer problem related to the nonlinear ordinary differential equation (NODE) for the unknown temperature exces...
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Language: | English |
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Elsevier
2025-02-01
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Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844025007091 |
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author | Yanqun Han Xulong Peng |
author_facet | Yanqun Han Xulong Peng |
author_sort | Yanqun Han |
collection | DOAJ |
description | This article studies the thermal performance of a moving fin with temperature-dependent thermal conductivity in a convective and radiative environment. It corresponds to a nonlinear heat transfer problem related to the nonlinear ordinary differential equation (NODE) for the unknown temperature excess. The NODE is solved by converting it to a nonlinear Fredholm integral equation. An approximate temperature distribution is determined in the quadratic form for arbitrary values of the Biot and Peclet numbers. A comparison of our results with the previous ones indicates satisfactory accuracy of the obtained solution. The fin efficiency is also given explicitly in terms of prescribed parameters and calculated numerically. The heat dissipation to the surrounding medium due to convection and radiation is analyzed for various speeds of a moving fin. The influences of thermal conductivity, heat convection, radiation, and moving speed of the fin on the temperature distribution and thermal performance are elucidated. |
format | Article |
id | doaj-art-b1ad08c03a884acba4e6ccaacc4ebf81 |
institution | Kabale University |
issn | 2405-8440 |
language | English |
publishDate | 2025-02-01 |
publisher | Elsevier |
record_format | Article |
series | Heliyon |
spelling | doaj-art-b1ad08c03a884acba4e6ccaacc4ebf812025-01-31T05:12:07ZengElsevierHeliyon2405-84402025-02-01113e42329Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environmentYanqun Han0Xulong Peng1School of Civil Engineering, Central South University, Changsha 410075, Hunan, PR ChinaSchool of Civil Engineering, Changsha University of Science and Technology, Changsha 410114, Hunan, PR China; Corresponding author.This article studies the thermal performance of a moving fin with temperature-dependent thermal conductivity in a convective and radiative environment. It corresponds to a nonlinear heat transfer problem related to the nonlinear ordinary differential equation (NODE) for the unknown temperature excess. The NODE is solved by converting it to a nonlinear Fredholm integral equation. An approximate temperature distribution is determined in the quadratic form for arbitrary values of the Biot and Peclet numbers. A comparison of our results with the previous ones indicates satisfactory accuracy of the obtained solution. The fin efficiency is also given explicitly in terms of prescribed parameters and calculated numerically. The heat dissipation to the surrounding medium due to convection and radiation is analyzed for various speeds of a moving fin. The influences of thermal conductivity, heat convection, radiation, and moving speed of the fin on the temperature distribution and thermal performance are elucidated.http://www.sciencedirect.com/science/article/pii/S2405844025007091Approximate temperatureConvective-radiative finTemperature-dependent thermal conductivityFin efficiencyNonlinear heat transfer problem |
spellingShingle | Yanqun Han Xulong Peng Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environment Heliyon Approximate temperature Convective-radiative fin Temperature-dependent thermal conductivity Fin efficiency Nonlinear heat transfer problem |
title | Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environment |
title_full | Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environment |
title_fullStr | Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environment |
title_full_unstemmed | Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environment |
title_short | Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environment |
title_sort | thermal performance of a moving fin with temperature dependent thermal conductivity in convective and radiative environment |
topic | Approximate temperature Convective-radiative fin Temperature-dependent thermal conductivity Fin efficiency Nonlinear heat transfer problem |
url | http://www.sciencedirect.com/science/article/pii/S2405844025007091 |
work_keys_str_mv | AT yanqunhan thermalperformanceofamovingfinwithtemperaturedependentthermalconductivityinconvectiveandradiativeenvironment AT xulongpeng thermalperformanceofamovingfinwithtemperaturedependentthermalconductivityinconvectiveandradiativeenvironment |