Pith Number

pith:ZVX3QRZ2

pith:2024:ZVX3QRZ2PG6XFQBWOQADDAVB5Z

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Internal stresses in low-Reynolds-number fractal aggregates

Changho Kim, Fran\c{c}ois Blanchette, Matteo Polimeno

Fractal aggregates under settling develop maximum internal stress equal to about 7.5 percent of apparent weight divided by connection area, while shear produces quadratic scaling with radius.

arxiv:2411.12966 v1 · 2024-11-20 · physics.flu-dyn

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Claims

C1strongest claim

For settling aggregates, the maximum internal stress scales as about 7.5% of the ratio of an aggregate's apparent weight to the area of the thinnest connection, here a single square. For aggregates exposed to a shear flow, the maximum internal stress scales roughly quadratically with the aggregate radius.

C2weakest assumption

The assumption that internal stresses computed from boundary integral external stresses on rigid cubic particles accurately predict breakup locations and that breaking only at the single face of maximum stress produces representative sub-aggregate mass distributions (stated in the abstract description of the model and post-break analysis).

C3one line summary

Numerical simulations of low-Re fractal aggregates show internal stress maxima scale as ~7.5% of apparent weight over connection area for settling and quadratically with radius for shear, with differing breakup mass distributions by fractal dimension.

References

26 extracted · 26 resolved · 0 Pith anchors

[1] A. B. Burd and G. A. Jackson, Particle aggregation, Ann. Rev. Mar. Sci. 1, 65 (2009) 2009

[2] S. Honjo, T. Eglinton, C. Taylor, K. Ulmer, S. Sievert, A. Bracher, C. German, V . Edgcomb, R. François, M. Iglesias-Rodriguez, B. Van Mooy, and D. Rapeta, Understanding the role of the biological pum 2014

[3] R. Coyle, G. Hardiman, and K. O. Driscoll, Microplastics in the marine environment: A review of their sources, distribution processes, uptake and exchange in ecosystems, Case Stud. Chem. Environ. Eng. 2020

[4] P. Meakin, Diffusion-limited aggregation in three dimensions: Results from a new cluster-cluster aggregation model, J. Colloid Interface Sci. 102, 491 (1984) 1984

[5] S. Jungblut, J.-O. Joswig, and A. Eychmüller, Diffusion-limited cluster aggregation: Impact of rotational diffu- sion, J. Phys. Chem. C 123, 950 (2019) 2019

Formal links

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Receipt and verification

First computed	2026-06-19T16:11:09.126919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd6fb8473a79bd72c03674003182a1ee7bc4918efe4e5223ee9d05aeac6dc5ec

Aliases

arxiv: 2411.12966 · arxiv_version: 2411.12966v1 · doi: 10.48550/arxiv.2411.12966 · pith_short_12: ZVX3QRZ2PG6X · pith_short_16: ZVX3QRZ2PG6XFQBW · pith_short_8: ZVX3QRZ2

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZVX3QRZ2PG6XFQBWOQADDAVB5Z \
  | 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: cd6fb8473a79bd72c03674003182a1ee7bc4918efe4e5223ee9d05aeac6dc5ec

Canonical record JSON

{
  "metadata": {
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    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2024-11-20T01:41:06Z",
    "title_canon_sha256": "05029004d541b4235db22c03ca310dca74d18a437f3f301f6927e472fb2b91b6"
  },
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  "source": {
    "id": "2411.12966",
    "kind": "arxiv",
    "version": 1
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}