Comparative Analysis of Temperature Distributions in a Convective-Radiative Porous Fin using Homotopy Perturbation and Differential Transformation and Methods

In this work, a comparative study of two approximate analytical methods for the thermal behaviour of convective-radiative porous fin subjected to the magnetic field using homotopy perturbation and differential transform methods is presented. Also, parametric studies of the effects of thermal-geomet...

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Main Authors: Gbeminiyi Musibau Sobamowo, Suraju Aremu Oladosu, Rafiu Olalekan Kuku, Antonio Marcos de Oliveira Siqueira
Format: Article
Language:English
Published: Universidade Federal de Viçosa (UFV) 2022-11-01
Series:The Journal of Engineering and Exact Sciences
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Online Access:https://periodicos.ufv.br/jcec/article/view/14924
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author Gbeminiyi Musibau Sobamowo
Suraju Aremu Oladosu
Rafiu Olalekan Kuku
Antonio Marcos de Oliveira Siqueira
author_facet Gbeminiyi Musibau Sobamowo
Suraju Aremu Oladosu
Rafiu Olalekan Kuku
Antonio Marcos de Oliveira Siqueira
author_sort Gbeminiyi Musibau Sobamowo
collection DOAJ
description In this work, a comparative study of two approximate analytical methods for the thermal behaviour of convective-radiative porous fin subjected to the magnetic field using homotopy perturbation and differential transform methods is presented. Also, parametric studies of the effects of thermal-geometric and thermo-physical fin parameters are investigated. From the study, it is found that an increase in a magnetic field, porosity, convective, radiative, and parameters increase the rate of heat transfer from the fin and consequently improves the efficiency of the fin. There are good agreements between the results of the homotopy perturbation and differential transform method with the results of the numerical method. Also, the results of the two approximate analytical methods agree very well with each other. It is hoped that the present work will serve as the basis of verifications of the other works on the nonlinear thermal analysis of the extended surface.
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id doaj-art-ada92f46984147c3a1ac91d7253e0d68
institution Kabale University
issn 2527-1075
language English
publishDate 2022-11-01
publisher Universidade Federal de Viçosa (UFV)
record_format Article
series The Journal of Engineering and Exact Sciences
spelling doaj-art-ada92f46984147c3a1ac91d7253e0d682025-02-02T19:55:58ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752022-11-018810.18540/jcecvl8iss8pp14924-01iComparative Analysis of Temperature Distributions in a Convective-Radiative Porous Fin using Homotopy Perturbation and Differential Transformation and MethodsGbeminiyi Musibau Sobamowo0Suraju Aremu Oladosu1Rafiu Olalekan Kuku2Antonio Marcos de Oliveira Siqueira3University of Lagos, Akoka Lagos, NigeriaLagos State University, Epe Campus, Lagos, Nigeria Lagos State University, Epe Campus, Lagos, Nigeria Federal University of Viçosa, Brazil In this work, a comparative study of two approximate analytical methods for the thermal behaviour of convective-radiative porous fin subjected to the magnetic field using homotopy perturbation and differential transform methods is presented. Also, parametric studies of the effects of thermal-geometric and thermo-physical fin parameters are investigated. From the study, it is found that an increase in a magnetic field, porosity, convective, radiative, and parameters increase the rate of heat transfer from the fin and consequently improves the efficiency of the fin. There are good agreements between the results of the homotopy perturbation and differential transform method with the results of the numerical method. Also, the results of the two approximate analytical methods agree very well with each other. It is hoped that the present work will serve as the basis of verifications of the other works on the nonlinear thermal analysis of the extended surface. https://periodicos.ufv.br/jcec/article/view/14924Comparative method study; Thermal analysis; Porous Fin; Convective-Radiative fin; Magnetic field; Homotopy perturbation method; Differential transformation method.
spellingShingle Gbeminiyi Musibau Sobamowo
Suraju Aremu Oladosu
Rafiu Olalekan Kuku
Antonio Marcos de Oliveira Siqueira
Comparative Analysis of Temperature Distributions in a Convective-Radiative Porous Fin using Homotopy Perturbation and Differential Transformation and Methods
The Journal of Engineering and Exact Sciences
Comparative method study; Thermal analysis; Porous Fin; Convective-Radiative fin; Magnetic field; Homotopy perturbation method; Differential transformation method.
title Comparative Analysis of Temperature Distributions in a Convective-Radiative Porous Fin using Homotopy Perturbation and Differential Transformation and Methods
title_full Comparative Analysis of Temperature Distributions in a Convective-Radiative Porous Fin using Homotopy Perturbation and Differential Transformation and Methods
title_fullStr Comparative Analysis of Temperature Distributions in a Convective-Radiative Porous Fin using Homotopy Perturbation and Differential Transformation and Methods
title_full_unstemmed Comparative Analysis of Temperature Distributions in a Convective-Radiative Porous Fin using Homotopy Perturbation and Differential Transformation and Methods
title_short Comparative Analysis of Temperature Distributions in a Convective-Radiative Porous Fin using Homotopy Perturbation and Differential Transformation and Methods
title_sort comparative analysis of temperature distributions in a convective radiative porous fin using homotopy perturbation and differential transformation and methods
topic Comparative method study; Thermal analysis; Porous Fin; Convective-Radiative fin; Magnetic field; Homotopy perturbation method; Differential transformation method.
url https://periodicos.ufv.br/jcec/article/view/14924
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AT surajuaremuoladosu comparativeanalysisoftemperaturedistributionsinaconvectiveradiativeporousfinusinghomotopyperturbationanddifferentialtransformationandmethods
AT rafiuolalekankuku comparativeanalysisoftemperaturedistributionsinaconvectiveradiativeporousfinusinghomotopyperturbationanddifferentialtransformationandmethods
AT antoniomarcosdeoliveirasiqueira comparativeanalysisoftemperaturedistributionsinaconvectiveradiativeporousfinusinghomotopyperturbationanddifferentialtransformationandmethods