Pith Number

pith:PC46WKQZ

pith:2025:PC46WKQZPOASWQQTQIUB27RVX4

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A multiple-scales framework for branched channel filters

C. J. W. Breward, I. M. Griffiths, T. Fastnedge

Multiple-scales analysis produces an effective leakage boundary condition for flow over branched channel filters.

arxiv:2511.05157 v2 · 2025-11-07 · physics.flu-dyn

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Claims

C1strongest claim

We use multiple-scales techniques to derive an effective leakage boundary condition, which smooths out localised effects in the flow velocity and pressure that arise due to the discrete branched channels, and then use this boundary condition to explicitly determine the flow away from the boundary. We find that our explicit solution compares well with an analogous numerical solution containing a discrete set of branched channels.

C2weakest assumption

The branch separation is much larger than the thickness of the viscous boundary layer under high-Reynolds-number laminar flow; if this scale separation fails the multiple-scales reduction to an effective boundary condition no longer holds.

C3one line summary

Multiple-scales analysis derives an effective leakage boundary condition for high-Re laminar flow over branched channels, enabling explicit flow solutions and Stokes-number-dependent predictions of particle capture efficiency in a ricochet filter.

References

3 extracted · 3 resolved · 0 Pith anchors

[1] ACHARYA, S., SHAIDA, S. R., YANG, H. & NOUREDDINE, A. 2021 Microfibers from synthetic textiles as a major source of microplastics in the environment: A review. Text. Res. J. 91 (17-18), 2136–2156. AKA 2021

[2] DIVI, R. V., STROTHER, J. A. & PAIG-TRAN, E. W. M. 2018 Manta rays feed using ricochet separation, a novel nonclogging filtration mechanism. Sci. Adv. 4 (9). DRIS, R., IMHOF, H. I., SANCHEZ, W. & GASP 2018

[3] 2023 Suspension feeders as biological models to develop biomimetic filter modules and reduce microplastic emissions 2023

Formal links

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Receipt and verification

First computed	2026-06-01T01:02:25.005030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b9eb2a197b812b421382281d7e35bf010a0461fef4b1c4f7102fd4f6a33a13

Aliases

arxiv: 2511.05157 · arxiv_version: 2511.05157v2 · doi: 10.48550/arxiv.2511.05157 · pith_short_12: PC46WKQZPOAS · pith_short_16: PC46WKQZPOASWQQT · pith_short_8: PC46WKQZ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PC46WKQZPOASWQQTQIUB27RVX4 \
  | 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: 78b9eb2a197b812b421382281d7e35bf010a0461fef4b1c4f7102fd4f6a33a13

Canonical record JSON

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    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2025-11-07T11:22:33Z",
    "title_canon_sha256": "c8851b84c5f10e9df15b956a7a497277460b47361f1182d5187dfab1f444c3a6"
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  "source": {
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    "kind": "arxiv",
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}