Scaling laws of velocity gradient moments of attached eddies
From Townsend's attached-eddy model (AEM), the scalings of velocity moments of attached eddies have been widely investigated in literature. We derive analytically the scalings of the moments of velocity gradients of attached eddies by using the AEM, indicating -2 and -3 scalings for second- and third-order moments respectively, which are in agreement with direct numerical simulation (DNS) data. In addition, non-negligible influences of the small-scale eddies on the velocity gradients in the logarithmic region are discussed.
Authors
- X. X. Li
- Le Fang (ORCID: https://orcid.org/0000-0001-5756-7102)
- Ruifeng Hu (ORCID: https://orcid.org/0000-0002-2505-5433)
Institutions
- Lanzhou University (CN)
- Beihang University (CN)
Publication Details
- Journal
- Physical Review Fluids
- Published
- 2024-09-03
- DOI
- https://doi.org/10.1103/physrevfluids.9.094602
- Citations
- 2
- Primary Topic
- Fluid Dynamics and Turbulent Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.75
Funders
- National Natural Science Foundation of China
- Fundamental Research Funds for the Central Universities