Steady state heat transfer analysis in a rectangular moving porous fin

In this article, the variation of temperature distribution and fin efficiency in a porous moving fin of rectangular profile is studied. This study is performed using Darcy's model to formulate the governing heat transfer differential equation. The approximate analytical solution is generated us...

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Main Authors: Partner L. Ndlovu, Raseelo J. Moitsheki
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2020-06-01
Series:Propulsion and Power Research
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2212540X20300171
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author Partner L. Ndlovu
Raseelo J. Moitsheki
author_facet Partner L. Ndlovu
Raseelo J. Moitsheki
author_sort Partner L. Ndlovu
collection DOAJ
description In this article, the variation of temperature distribution and fin efficiency in a porous moving fin of rectangular profile is studied. This study is performed using Darcy's model to formulate the governing heat transfer differential equation. The approximate analytical solution is generated using the variational iteration method (VIM). The power series solution is validated by benchmarking it against the numerical solution obtained by applying the Runge-Kutta fourth order method. A good agreement between the analytical and numerical results is observed. The effects of porosity parameter, Peclet number and other thermo-physical parameters, such as the power index of heat transfer coefficient, convective-conductive parameter, radiative-conductive parameter, thermal conductivity gradient and non-dimensional ambient temperature on non-dimensional temperature are also studied and explained. The results indicate that the fin rapidly dissipates heat to the ambient temperature with an increase in the Peclet number, convection-radiation parameters and the porosity parameter.
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spelling doaj.art-ff314020fcc941ecacbccf83fb708b7c2023-09-02T15:21:21ZengKeAi Communications Co., Ltd.Propulsion and Power Research2212-540X2020-06-0192188196Steady state heat transfer analysis in a rectangular moving porous finPartner L. Ndlovu0Raseelo J. Moitsheki1School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits, 2050, South Africa; Standard Bank of South Africa, 30 Baker Street, Rosebank, Johannesburg, 2196, South Africa; Corresponding author.School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits, 2050, South AfricaIn this article, the variation of temperature distribution and fin efficiency in a porous moving fin of rectangular profile is studied. This study is performed using Darcy's model to formulate the governing heat transfer differential equation. The approximate analytical solution is generated using the variational iteration method (VIM). The power series solution is validated by benchmarking it against the numerical solution obtained by applying the Runge-Kutta fourth order method. A good agreement between the analytical and numerical results is observed. The effects of porosity parameter, Peclet number and other thermo-physical parameters, such as the power index of heat transfer coefficient, convective-conductive parameter, radiative-conductive parameter, thermal conductivity gradient and non-dimensional ambient temperature on non-dimensional temperature are also studied and explained. The results indicate that the fin rapidly dissipates heat to the ambient temperature with an increase in the Peclet number, convection-radiation parameters and the porosity parameter.http://www.sciencedirect.com/science/article/pii/S2212540X20300171Heat transferMoving porousDarcy's modelVariational iteration method (VIM)Fin tip temperature
spellingShingle Partner L. Ndlovu
Raseelo J. Moitsheki
Steady state heat transfer analysis in a rectangular moving porous fin
Propulsion and Power Research
Heat transfer
Moving porous
Darcy's model
Variational iteration method (VIM)
Fin tip temperature
title Steady state heat transfer analysis in a rectangular moving porous fin
title_full Steady state heat transfer analysis in a rectangular moving porous fin
title_fullStr Steady state heat transfer analysis in a rectangular moving porous fin
title_full_unstemmed Steady state heat transfer analysis in a rectangular moving porous fin
title_short Steady state heat transfer analysis in a rectangular moving porous fin
title_sort steady state heat transfer analysis in a rectangular moving porous fin
topic Heat transfer
Moving porous
Darcy's model
Variational iteration method (VIM)
Fin tip temperature
url http://www.sciencedirect.com/science/article/pii/S2212540X20300171
work_keys_str_mv AT partnerlndlovu steadystateheattransferanalysisinarectangularmovingporousfin
AT raseelojmoitsheki steadystateheattransferanalysisinarectangularmovingporousfin