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Constructal Equivalent Thermal Resistance Minimization for Tau-Shaped Fin

With the aid of constructal theory and entransy theory, a Tau-shaped fin (TAUSF) is investigated in this paper, and the widths of the bend end and elemental fins are assumed to be different. The construct of the TAUSF is optimized by the minimum equivalent thermal resistance (ETR) obtained by entran...

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Autores principales: Wei, Shuhuan, Feng, Huijun, Chen, Lingen, Ge, Yanlin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7711790/
https://www.ncbi.nlm.nih.gov/pubmed/33286974
http://dx.doi.org/10.3390/e22111206
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author Wei, Shuhuan
Feng, Huijun
Chen, Lingen
Ge, Yanlin
author_facet Wei, Shuhuan
Feng, Huijun
Chen, Lingen
Ge, Yanlin
author_sort Wei, Shuhuan
collection PubMed
description With the aid of constructal theory and entransy theory, a Tau-shaped fin (TAUSF) is investigated in this paper, and the widths of the bend end and elemental fins are assumed to be different. The construct of the TAUSF is optimized by the minimum equivalent thermal resistance (ETR) obtained by entransy dissipation rate. The constraints of total enveloping volume and fin material volume are considered. The results show that in the specified range of width ratio, the twice minimum ETR of the TAUSF can be yielded by an optimal width ratio and an optimal length ratio. In addition, comparing the optimal performance of the TAUSF with the counterpart of a T-shaped fin, the former sacrifices a small amount of heat transfer performance and its stiffness increases due to its structure with the bend end. The optimal structure of the TAUSF yielded from ETR minimization is conspicuously different with the counterpart yielded from maximum thermal resistance minimization. Comparing the thermal performances of the two optimal constructs, the ETR of the former optimal construct is declined by 10.58%, whereas the maximum thermal resistance is augmented by 5.22%. The former optimal construct can lead to the uniformity of temperature gradient and the reduction in thermal stress, and can guide the engineering designs of practical fins.
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spelling pubmed-77117902021-02-24 Constructal Equivalent Thermal Resistance Minimization for Tau-Shaped Fin Wei, Shuhuan Feng, Huijun Chen, Lingen Ge, Yanlin Entropy (Basel) Article With the aid of constructal theory and entransy theory, a Tau-shaped fin (TAUSF) is investigated in this paper, and the widths of the bend end and elemental fins are assumed to be different. The construct of the TAUSF is optimized by the minimum equivalent thermal resistance (ETR) obtained by entransy dissipation rate. The constraints of total enveloping volume and fin material volume are considered. The results show that in the specified range of width ratio, the twice minimum ETR of the TAUSF can be yielded by an optimal width ratio and an optimal length ratio. In addition, comparing the optimal performance of the TAUSF with the counterpart of a T-shaped fin, the former sacrifices a small amount of heat transfer performance and its stiffness increases due to its structure with the bend end. The optimal structure of the TAUSF yielded from ETR minimization is conspicuously different with the counterpart yielded from maximum thermal resistance minimization. Comparing the thermal performances of the two optimal constructs, the ETR of the former optimal construct is declined by 10.58%, whereas the maximum thermal resistance is augmented by 5.22%. The former optimal construct can lead to the uniformity of temperature gradient and the reduction in thermal stress, and can guide the engineering designs of practical fins. MDPI 2020-10-25 /pmc/articles/PMC7711790/ /pubmed/33286974 http://dx.doi.org/10.3390/e22111206 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Wei, Shuhuan
Feng, Huijun
Chen, Lingen
Ge, Yanlin
Constructal Equivalent Thermal Resistance Minimization for Tau-Shaped Fin
title Constructal Equivalent Thermal Resistance Minimization for Tau-Shaped Fin
title_full Constructal Equivalent Thermal Resistance Minimization for Tau-Shaped Fin
title_fullStr Constructal Equivalent Thermal Resistance Minimization for Tau-Shaped Fin
title_full_unstemmed Constructal Equivalent Thermal Resistance Minimization for Tau-Shaped Fin
title_short Constructal Equivalent Thermal Resistance Minimization for Tau-Shaped Fin
title_sort constructal equivalent thermal resistance minimization for tau-shaped fin
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7711790/
https://www.ncbi.nlm.nih.gov/pubmed/33286974
http://dx.doi.org/10.3390/e22111206
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