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On taylor correlation functions in isotropic turbulent flows
A turbulent flow can be characterized by Taylor correlation functions which are obtained empirically, understood by statistical mechanics and regarded as universal. Here, we show that Taylor correlations are analytically derived by hypothesizing turbulence as a phenomenon of superfluids at resonance...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Nature Publishing Group UK
2023
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9995477/ https://www.ncbi.nlm.nih.gov/pubmed/36890177 http://dx.doi.org/10.1038/s41598-023-30825-3 |
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author | Chen, Wei |
author_facet | Chen, Wei |
author_sort | Chen, Wei |
collection | PubMed |
description | A turbulent flow can be characterized by Taylor correlation functions which are obtained empirically, understood by statistical mechanics and regarded as universal. Here, we show that Taylor correlations are analytically derived by hypothesizing turbulence as a phenomenon of superfluids at resonance. Leveraging from a recent study on heat transfer at the speed of sound, we derived and fitted the longitudinal and lateral turbulent velocities in an isotropic, turbulent flow. The concept of the boundary of the second law helps to specify the integration constants in the solution. From the velocity profiles, Taylor’s correlation functions are analytically determined. From the linearity of the eigenfunction, we introduce amplitude and frequency factors. These factors are curve-fitted with two experimental dataset. Additional experimental datasets in the public domain are compared to the correlations, which shows that the theory agrees with experiments very well in isotropic flows. The analytical correlation functions help to elucidate observations that experiments and statistical mechanics have challenges to explain. |
format | Online Article Text |
id | pubmed-9995477 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-99954772023-03-10 On taylor correlation functions in isotropic turbulent flows Chen, Wei Sci Rep Article A turbulent flow can be characterized by Taylor correlation functions which are obtained empirically, understood by statistical mechanics and regarded as universal. Here, we show that Taylor correlations are analytically derived by hypothesizing turbulence as a phenomenon of superfluids at resonance. Leveraging from a recent study on heat transfer at the speed of sound, we derived and fitted the longitudinal and lateral turbulent velocities in an isotropic, turbulent flow. The concept of the boundary of the second law helps to specify the integration constants in the solution. From the velocity profiles, Taylor’s correlation functions are analytically determined. From the linearity of the eigenfunction, we introduce amplitude and frequency factors. These factors are curve-fitted with two experimental dataset. Additional experimental datasets in the public domain are compared to the correlations, which shows that the theory agrees with experiments very well in isotropic flows. The analytical correlation functions help to elucidate observations that experiments and statistical mechanics have challenges to explain. Nature Publishing Group UK 2023-03-08 /pmc/articles/PMC9995477/ /pubmed/36890177 http://dx.doi.org/10.1038/s41598-023-30825-3 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Chen, Wei On taylor correlation functions in isotropic turbulent flows |
title | On taylor correlation functions in isotropic turbulent flows |
title_full | On taylor correlation functions in isotropic turbulent flows |
title_fullStr | On taylor correlation functions in isotropic turbulent flows |
title_full_unstemmed | On taylor correlation functions in isotropic turbulent flows |
title_short | On taylor correlation functions in isotropic turbulent flows |
title_sort | on taylor correlation functions in isotropic turbulent flows |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9995477/ https://www.ncbi.nlm.nih.gov/pubmed/36890177 http://dx.doi.org/10.1038/s41598-023-30825-3 |
work_keys_str_mv | AT chenwei ontaylorcorrelationfunctionsinisotropicturbulentflows |