Pith Number

pith:OMBLUFWZ

pith:2025:OMBLUFWZGC33WVIDZJT4P26S7T

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Two-component inner--outer scaling model for the wall-pressure spectrum at high Reynolds number

Alexander J. Smits, Beverley J. McKeon, Jonathan M. O. Massey

A two-component model decomposes the wall-pressure spectrum into inner- and outer-scaled contributions that explain its growth at high Reynolds numbers.

arxiv:2507.23098 v3 · 2025-07-30 · physics.flu-dyn · physics.data-an

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\pithnumber{OMBLUFWZGC33WVIDZJT4P26S7T}

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Claims

C1strongest claim

Both models capture the full spectrum and recover the observed logarithmic growth of its variance, providing a compact, physics-informed empirical representation for more accurate engineering predictions of wall-pressure fluctuations.

C2weakest assumption

The wall-pressure spectrum can be decomposed into two overlapping components (inner-scaled δ+-invariant and outer-scaled with amplitude broadening smoothly with δ+) whose shapes are either log-normal or prescribed by theoretical arguments.

C3one line summary

Two new two-component inner-outer scaling models for wall-pressure spectra in turbulent boundary layers, pipes and channels that capture low-frequency growth and logarithmic variance increase at high Reynolds numbers.

Cited by

1 paper in Pith

On the Poisson-Source Basis of Logarithmic Wall-Pressure-Variance Growth

Receipt and verification

First computed	2026-07-03T01:17:53.694639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7302ba16d930b7bb5503ca67c7ebd2fce3444fea76b174ce129684bdb4e1c8bf

Aliases

arxiv: 2507.23098 · arxiv_version: 2507.23098v3 · doi: 10.48550/arxiv.2507.23098 · pith_short_12: OMBLUFWZGC33 · pith_short_16: OMBLUFWZGC33WVID · pith_short_8: OMBLUFWZ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OMBLUFWZGC33WVIDZJT4P26S7T \
  | 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: 7302ba16d930b7bb5503ca67c7ebd2fce3444fea76b174ce129684bdb4e1c8bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd96e9474359ab3848ee2e5a88a055c4acb4b3b9629cd45aa76bd65984c41e48",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2025-07-30T20:59:29Z",
    "title_canon_sha256": "c315d86dc81251707aad7579defdec41bd258ded426529dafb1dea3ed3290f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23098",
    "kind": "arxiv",
    "version": 3
  }
}