On the normalised energy dissipation rate in homogeneous isotropic turbulence.
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| Title: | On the normalised energy dissipation rate in homogeneous isotropic turbulence. |
|---|---|
| Authors: | Kitamura, T.1 (AUTHOR) t.kitamura@nagasaki-u.ac.jp, Nagata, K.2 (AUTHOR), Shimoyama, K.3 (AUTHOR), Nanri, T.4 (AUTHOR) |
| Source: | Journal of Fluid Mechanics. 5/10/2025, Vol. 1010, p1-26. 26p. |
| Subjects: | Turbulent shear flow, Reynolds number, Dirac function, Mean field theory, Atmospheric turbulence, Advection-diffusion equations |
| Abstract: | The article focuses on the normalized energy dissipation rate in homogeneous isotropic turbulence, specifically examining its dependence on the Reynolds number. It derives an exact relationship between the normalized energy dissipation rate and the integrated form of the Kármán–Howarth equation, applicable to both forced and decaying turbulence. The study highlights that the integrated nonlinear energy transfer remains constant at sufficiently high Reynolds numbers, suggesting that the energy dissipation rate is finite in high-Reynolds-number turbulence. Additionally, it discusses the emergence of non-equilibrium dissipation laws due to imbalances in turbulence dynamics, supported by numerical simulations. The findings contribute to a deeper understanding of turbulence behavior and its governing principles. [Extracted from the article] |
| Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 185485951 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On the normalised energy dissipation rate in homogeneous isotropic turbulence. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Kitamura%2C+T%2E%22">Kitamura, T.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> t.kitamura@nagasaki-u.ac.jp</i><br /><searchLink fieldCode="AR" term="%22Nagata%2C+K%2E%22">Nagata, K.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Shimoyama%2C+K%2E%22">Shimoyama, K.</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Nanri%2C+T%2E%22">Nanri, T.</searchLink><relatesTo>4</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Fluid+Mechanics%22">Journal of Fluid Mechanics</searchLink>. 5/10/2025, Vol. 1010, p1-26. 26p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Turbulent+shear+flow%22">Turbulent shear flow</searchLink><br /><searchLink fieldCode="DE" term="%22Reynolds+number%22">Reynolds number</searchLink><br /><searchLink fieldCode="DE" term="%22Dirac+function%22">Dirac function</searchLink><br /><searchLink fieldCode="DE" term="%22Mean+field+theory%22">Mean field theory</searchLink><br /><searchLink fieldCode="DE" term="%22Atmospheric+turbulence%22">Atmospheric turbulence</searchLink><br /><searchLink fieldCode="DE" term="%22Advection-diffusion+equations%22">Advection-diffusion equations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The article focuses on the normalized energy dissipation rate in homogeneous isotropic turbulence, specifically examining its dependence on the Reynolds number. It derives an exact relationship between the normalized energy dissipation rate and the integrated form of the Kármán–Howarth equation, applicable to both forced and decaying turbulence. The study highlights that the integrated nonlinear energy transfer remains constant at sufficiently high Reynolds numbers, suggesting that the energy dissipation rate is finite in high-Reynolds-number turbulence. Additionally, it discusses the emergence of non-equilibrium dissipation laws due to imbalances in turbulence dynamics, supported by numerical simulations. The findings contribute to a deeper understanding of turbulence behavior and its governing principles. [Extracted from the article] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1017/jfm.2025.316 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 26 StartPage: 1 Subjects: – SubjectFull: Turbulent shear flow Type: general – SubjectFull: Reynolds number Type: general – SubjectFull: Dirac function Type: general – SubjectFull: Mean field theory Type: general – SubjectFull: Atmospheric turbulence Type: general – SubjectFull: Advection-diffusion equations Type: general Titles: – TitleFull: On the normalised energy dissipation rate in homogeneous isotropic turbulence. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Kitamura, T. – PersonEntity: Name: NameFull: Nagata, K. – PersonEntity: Name: NameFull: Shimoyama, K. – PersonEntity: Name: NameFull: Nanri, T. IsPartOfRelationships: – BibEntity: Dates: – D: 10 M: 05 Text: 5/10/2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 00221120 Numbering: – Type: volume Value: 1010 Titles: – TitleFull: Journal of Fluid Mechanics Type: main |
| ResultId | 1 |
