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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...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2020
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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. |
format | Online Article Text |
id | pubmed-7711790 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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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