Thermal characteristics of longitudinal fin with Fourier and non-Fourier heat transfer by Fourier sine transforms

Abstract The quest for high-performance of heat transfer components on the basis of accommodating shapes, smaller weights, lower costs and little volume has significantly diverted the industries for the enhancement of heat dissipation with variable thermal properties of fins. This manuscript propose...

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Autores principales:	Basma Souayeh, Kashif Ali Abro
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/c95651af0c8240059e114dcfa88b9dd3
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spelling	oai:doaj.org-article:c95651af0c8240059e114dcfa88b9dd32021-12-05T12:12:45ZThermal characteristics of longitudinal fin with Fourier and non-Fourier heat transfer by Fourier sine transforms10.1038/s41598-021-00318-22045-2322https://doaj.org/article/c95651af0c8240059e114dcfa88b9dd32021-12-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-00318-2https://doaj.org/toc/2045-2322Abstract The quest for high-performance of heat transfer components on the basis of accommodating shapes, smaller weights, lower costs and little volume has significantly diverted the industries for the enhancement of heat dissipation with variable thermal properties of fins. This manuscript proposes the fractional modeling of Fourier and non-Fourier heat transfer of longitudinal fin via non-singular fractional approach. The configuration of longitudinal fin in terms of one dimension is developed for the mathematical model of parabolic and hyperbolic heat transfer equations. By considering the Fourier and non-Fourier heat transfer from longitudinal fin, the mathematical techniques of Fourier sine and Laplace transforms have been invoked. An analytic approach is tackled for handling the governing equation through special functions for the fractionalized parabolic and hyperbolic heat transfer equations in longitudinal fin. For the sake of comparative analysis of parabolic verses hyperbolic heat conduction of fin temperature, we depicted the distinct graphical illustrations; for instance, 2-dimensional graph, bar chart, contour graphs, heat graph, 3-dimensional graphs and column graphs on for the variants of different rheological impacts of longitudinal fin.Basma SouayehKashif Ali AbroNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Basma Souayeh Kashif Ali Abro Thermal characteristics of longitudinal fin with Fourier and non-Fourier heat transfer by Fourier sine transforms
description	Abstract The quest for high-performance of heat transfer components on the basis of accommodating shapes, smaller weights, lower costs and little volume has significantly diverted the industries for the enhancement of heat dissipation with variable thermal properties of fins. This manuscript proposes the fractional modeling of Fourier and non-Fourier heat transfer of longitudinal fin via non-singular fractional approach. The configuration of longitudinal fin in terms of one dimension is developed for the mathematical model of parabolic and hyperbolic heat transfer equations. By considering the Fourier and non-Fourier heat transfer from longitudinal fin, the mathematical techniques of Fourier sine and Laplace transforms have been invoked. An analytic approach is tackled for handling the governing equation through special functions for the fractionalized parabolic and hyperbolic heat transfer equations in longitudinal fin. For the sake of comparative analysis of parabolic verses hyperbolic heat conduction of fin temperature, we depicted the distinct graphical illustrations; for instance, 2-dimensional graph, bar chart, contour graphs, heat graph, 3-dimensional graphs and column graphs on for the variants of different rheological impacts of longitudinal fin.
format	article
author	Basma Souayeh Kashif Ali Abro
author_facet	Basma Souayeh Kashif Ali Abro
author_sort	Basma Souayeh
title	Thermal characteristics of longitudinal fin with Fourier and non-Fourier heat transfer by Fourier sine transforms
title_short	Thermal characteristics of longitudinal fin with Fourier and non-Fourier heat transfer by Fourier sine transforms
title_full	Thermal characteristics of longitudinal fin with Fourier and non-Fourier heat transfer by Fourier sine transforms
title_fullStr	Thermal characteristics of longitudinal fin with Fourier and non-Fourier heat transfer by Fourier sine transforms
title_full_unstemmed	Thermal characteristics of longitudinal fin with Fourier and non-Fourier heat transfer by Fourier sine transforms
title_sort	thermal characteristics of longitudinal fin with fourier and non-fourier heat transfer by fourier sine transforms
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/c95651af0c8240059e114dcfa88b9dd3
work_keys_str_mv	AT basmasouayeh thermalcharacteristicsoflongitudinalfinwithfourierandnonfourierheattransferbyfouriersinetransforms AT kashifaliabro thermalcharacteristicsoflongitudinalfinwithfourierandnonfourierheattransferbyfouriersinetransforms
_version_	1718372159948062720

Thermal characteristics of longitudinal fin with Fourier and non-Fourier heat transfer by Fourier sine transforms

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