Bibliographic Details
| 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] |
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| Database: |
Engineering Source |
