Pith Number

pith:GIOEHMEH

pith:2025:GIOEHMEHQ66OYQICHZHCRMJRIA

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Convection velocities and velocity coupling of outer-scaled wall-pressure fluctuations in canonical turbulent boundary layers

Abdelrahman Hassanein, Rahul Deshpande, Woutijn J. Baars

Velocities in the logarithmic region correlate most strongly with outer-scaled wall-pressure fluctuations in turbulent boundary layers.

arxiv:2508.19940 v2 · 2025-08-27 · physics.flu-dyn

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Record completeness

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Claims

C1strongest claim

The turbulent velocities most strongly correlated with outer-scaled (δ-scaled) wall-pressure fluctuations beneath a zero-pressure-gradient boundary layer reside within the logarithmic region.

C2weakest assumption

The bespoke microphone array spanning 5δ accurately resolves the large-scale portion of the frequency-wavenumber pw spectrum while avoiding aliasing of small-scale energy, validated only against low-Reynolds-number simulation datasets.

C3one line summary

Measurements using a 63-microphone array and hotwire show outer-scaled wall-pressure fluctuations in zero-pressure-gradient turbulent boundary layers are primarily coupled to logarithmic-region velocities and convect at 0.75U∞ across Reτ from 1400 to 5200.

References

53 extracted · 53 resolved · 0 Pith anchors

[1] W. W. Willmarth, Pressure fluctuations beneath turbulent boundary layers, Annu. Rev. Fluid Mech. 7, 13 (1975) 1975

[2] S. Lee, L. Ayton, F. Bertagnolio, S. Moreau, T. Chong, and P. Joseph, Turbulent boundary layer trailing-edge noise: Theory, computation, experiment, and application, Prog. Aerosp. Sci. 126, 100737 (20 2021

[3] W. W. Willmarth, Wall pressure fluctuations in a turbulent boundary layer, J. Acoust. Soc. Am. 28, 1048 (1956) 1956

[4] W. W. Willmarth and C. E. Wooldridge, Measurements of the fluctuating pressure at the wall beneath a thick turbulent boundary layer, J. Fluid Mech. 14, 187 (1962) 1962

[5] M. K. Bull, Wall-pressure fluctuations associated with subsonic turbulent boundary layer flow, J. Fluid Mech. 28, 719 (1967) 1967

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

An Inner-Scaled Linear Contribution to Wall-Pressure Variance at High Reynolds Number

Receipt and verification

First computed	2026-06-23T01:11:56.687354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

321c43b08787bcec41023e4e28b1314030490335830119b4266faac37df88aa9

Aliases

arxiv: 2508.19940 · arxiv_version: 2508.19940v2 · doi: 10.48550/arxiv.2508.19940 · pith_short_12: GIOEHMEHQ66O · pith_short_16: GIOEHMEHQ66OYQIC · pith_short_8: GIOEHMEH

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GIOEHMEHQ66OYQICHZHCRMJRIA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 321c43b08787bcec41023e4e28b1314030490335830119b4266faac37df88aa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05208704aab7d4ca0b86b703d5c0b70df389afd7afb30d87e7c2c073b327d960",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2025-08-27T14:57:47Z",
    "title_canon_sha256": "80c843983db58491028d5afb81b8a9c864b970dd92a9ea254f2576233a6f1b48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.19940",
    "kind": "arxiv",
    "version": 2
  }
}