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General attached eddies: Scaling laws and cascade self-similarity
Lanzhou Univ, Ctr Particle Laden Turbulence, Key Lab Mech Disaster & Environm Western China, Minist Educ, Lanzhou 730000, Peoples R China.;Lanzhou Univ, Coll Civil Engn & Mech, Lanzhou 730000, Peoples R China..
State Key Lab Aerodynam, Mianyang 621000, Peoples R China..
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0001-6570-5499
2023 (English)In: Physical Review Fluids, E-ISSN 2469-990X, Vol. 8, no 4, article id 044603Article in journal (Refereed) Published
Abstract [en]

The attached-eddy model (AEM) is one of the most successful coherent-structure-based phenomenological models in wall turbulence. In the classical AEM, the probability density of eddy pe is assumed to follow an inverse law with the eddy size he, i.e., pe oc h-1 e , to satisfy a constant Reynolds-shear-stress distribution in the inertial layer of canonical wall-bounded turbulent flows. In this paper, we first extend the AEM to general attached eddies with pe oc h-" e , where " is an arbitrary positive real number. Scaling laws for velocity covariance (Reynolds stress) by general attached eddies are derived. Preliminary evidence for the validity of the model is provided from adverse-pressure-gradient turbulent boundary layer and turbulent wing boundary layer flows. Second, considering that the eddy cascade self-similarity is manifested by generalized power laws for probability density pe, population density Me, area coverage Ce, and volume fraction Ve of eddies, i.e., pe oc h-"e, Me oc h-ae , Ce oc h-?e , and Ve oc h-zeta e, we directly connect the exponents with the fractal dimension De of the general attached eddies in a simple and clear way. The present paper highlights that the scaling laws of velocity covariance in the inertial layer of wall-bounded turbulent flows can be directly linked to the characteristics of the cascade self-similarity of the general attached eddies. We believe that the scaling laws derived here and the generalized power-law relationships are useful for a deeper understanding of the connection between coherent structures and turbulence statistics.

Place, publisher, year, edition, pages
American Physical Society (APS) , 2023. Vol. 8, no 4, article id 044603
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-327399DOI: 10.1103/PhysRevFluids.8.044603ISI: 000979715100001Scopus ID: 2-s2.0-85153886975OAI: oai:DiVA.org:kth-327399DiVA, id: diva2:1759664
Note

QC 20230526

Available from: 2023-05-26 Created: 2023-05-26 Last updated: 2023-05-26Bibliographically approved

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Vinuesa, Ricardo

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