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Active and inactive contributions to the wall pressure and wall-shear stress in turbulent boundary layers
Dept. Mechanical Eng., University of Melbourne, Parkville, VIC 3010, Australia.
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Fluid Mechanics.ORCID iD: 0000-0001-6570-5499
Dept. Mechanical Eng., University of Melbourne, Parkville, VIC 3010, Australia.
Dept. Mechanical Eng., University of Melbourne, Parkville, VIC 3010, Australia.
2025 (English)In: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 1003, article id A24Article in journal (Refereed) Published
Abstract [en]

A phenomenological description is presented to explain the intermediate and low-frequency/large-scale contributions to the wall-shear-stress (τw) and wall-pressure (pw) spectra of canonical turbulent boundary layers, both of which are well known to increase with Reynolds number, albeit in a distinct manner. The explanation is based on the concept of active and inactive motions (Townsend, J. Fluid Mech., vol. 11, issue 1, 1961, pp. 97-120) associated with the attached-eddy hypothesis. Unique data sets of simultaneously acquired τw, pw and velocity-fluctuation time series in the log region are considered, across a friction-Reynolds-number (Reτ) range of O(103) ≲ Reτ ≲ O(106). A recently proposed energy-decomposition methodology (Deshpande et al., J. Fluid Mech., vol. 914, 2021, A5) is implemented to reveal the active and inactive contributions to the τw- and pw-spectra. Empirical evidence is provided in support of Bradshaw's (J. Fluid Mech., vol. 30, issue 2, 1967, pp. 241-258) hypothesis that the inactive motions are responsible for the non-local wall-ward transport of the large-scale inertia-dominated energy, which is produced in the log region by active motions. This explains the large-scale signatures in the τw-spectrum, which grow with Reτ despite the statistically weak signature of large-scale turbulence production, in the near-wall region. For wall pressure, active and inactive motions respectively contribute to the intermediate and large scales of the pw-spectrum. Both these contributions are found to increase with increasing Reτ owing to the broadening and energization of the wall-scaled (attached) eddy hierarchy. This potentially explains the rapid Reτ-growth of the pw-spectra relative to τw, given the dependence of the latter only on the inactive contributions.

Place, publisher, year, edition, pages
Cambridge University Press (CUP) , 2025. Vol. 1003, article id A24
Keywords [en]
boundary layer structure, turbulent boundary layers
National Category
Fluid Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-359294DOI: 10.1017/jfm.2024.1218ISI: 001396512800001Scopus ID: 2-s2.0-85215379830OAI: oai:DiVA.org:kth-359294DiVA, id: diva2:1932621
Note

QC 20250203

Available from: 2025-01-29 Created: 2025-01-29 Last updated: 2025-02-03Bibliographically approved

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Vinuesa, Ricardo

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