Pith Number

pith:IEARAFYO

pith:2026:IEARAFYOGWIJCZIHI2EXW2EKDL

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Influence of Prandtl number on heat transfer over a permeable wall

Francesca di Mare, Hakan Demir, Wojciech Sadowski

Terms usually dropped when averaging flow variables near porous walls grow important for heat transfer when the Prandtl number is low.

arxiv:2605.13195 v1 · 2026-05-13 · physics.flu-dyn

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

A set of terms, typically neglected during the upscaling procedure (related to the Taylor expansion of the filtered variables), is analysed for the first time for the turbulent heat transfer at the porous-fluid interface, and are found to be significant at low Pr.

C2weakest assumption

The chosen Reynolds number, grid resolution, and filter kernels are sufficient to capture the true magnitude of the neglected Taylor terms at the interface for the three Prandtl numbers examined.

C3one line summary

Low-Prandtl-number simulations show that Taylor-expansion terms neglected in upscaled heat-transfer models are significant at porous-fluid interfaces.

References

109 extracted · 109 resolved · 1 Pith anchors

[1] Dixon and Behnam Partopour , title = 2020

[2] Hermann, T. and McGilvray, M. , title =. Journal of Fluid Mechanics , year =

[3] Shen, G. and Yuan, J. and Phanikumar, M. S. , title =. Journal of Fluid Mechanics , year =

[4] Annual Review of Fluid Mechanics , volume = 2000

[5] Sandham , title = 2019

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:08:48.740523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

410110170e359091650746897b688a1ae2b0cc6bfd85ce0f22635c7a3c00b5d2

Aliases

arxiv: 2605.13195 · arxiv_version: 2605.13195v1 · doi: 10.48550/arxiv.2605.13195 · pith_short_12: IEARAFYOGWIJ · pith_short_16: IEARAFYOGWIJCZIH · pith_short_8: IEARAFYO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IEARAFYOGWIJCZIHI2EXW2EKDL \
  | 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: 410110170e359091650746897b688a1ae2b0cc6bfd85ce0f22635c7a3c00b5d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cdce53f439d6ec1ab83bf26e0cd13fd5cf2a215c5870e46b1ee28f3f952fc52",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-05-13T08:50:16Z",
    "title_canon_sha256": "1049ae23943bd16bae0c87deb8d4e388164467b33d2a37cb6485f39438d0efa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13195",
    "kind": "arxiv",
    "version": 1
  }
}