Pith Number

pith:4M7OV6QB

pith:2026:4M7OV6QB7D7AZCBQCWO6BU3JA2

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Shear alignment and tensorial Taylor--Aris dispersion of Brownian rods in a circular tube

Jingsen Feng, Xu Chu

Shear alignment of Brownian rods in tube flow raises the Taylor-Aris dispersion coefficient by up to 30 percent in strong shear.

arxiv:2605.17614 v1 · 2026-05-17 · physics.flu-dyn

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Claims

C1strongest claim

In strong shear this raises the Taylor coefficient by about 23% for aspect ratio p=1000 and by about 30% in the infinitely slender limit, approaching the fully aligned bound.

C2weakest assumption

The long-wave reduction assumes that the local steady orientation distribution (solved from the Fokker-Planck problem) can be used to close the conservative axisymmetric transport equation without higher-order corrections from radial gradients of the orientation field.

C3one line summary

Tensorial Taylor-Aris theory for dilute Brownian rods in circular Poiseuille flow shows shear-induced alignment raises the effective Taylor dispersion coefficient by up to 30% in the slender limit.

References

51 extracted · 51 resolved · 0 Pith anchors

[1] M., Shim, S., Gupta, A 2022 · doi:10.1017/jfm.2022.321

[2] Alexandre, A., Gu \'e rin, T. & Dean, D. S. 2021 Generalized Taylor dispersion for translationally invariant microfluidic systems. Phys. Fluids 33, 082004. doi:10.1063/5.0057584 https://doi.org/10.106 2021 · doi:10.1063/5.0057584

[3] Aminian, M., Bernardi, F., Camassa, R., Harris, D. M. & McLaughlin, R. M. 2016 How boundaries shape chemical delivery in microfluidics. Science 354, 1252--1256. doi:10.1126/science.aag0532 https://doi 2016 · doi:10.1126/science.aag0532

[4] Aris ,\ title title On the dispersion of a solute in a fluid flowing through a tube ,\ https://doi.org/10.1098/rspa.1956.0065 journal journal Proc 1956 · doi:10.1098/rspa.1956.0065

[5] 1974 Rheology of a dilute suspension of axisymmetric Brownian particles 1974 · doi:10.1016/0301-9322(74)90018-4

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1 paper in Pith

Transient and asymptotic Taylor--Aris dispersion of Brownian rods in arbitrary regular-polygonal ducts

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First computed	2026-05-20T00:04:48.620534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e33eeafa01f8fe0c8830159de0d36906b13683f375bfc6c12e6143b9c4d9a94b

Aliases

arxiv: 2605.17614 · arxiv_version: 2605.17614v1 · doi: 10.48550/arxiv.2605.17614 · pith_short_12: 4M7OV6QB7D7A · pith_short_16: 4M7OV6QB7D7AZCBQ · pith_short_8: 4M7OV6QB

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/4M7OV6QB7D7AZCBQCWO6BU3JA2 \
  | 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: e33eeafa01f8fe0c8830159de0d36906b13683f375bfc6c12e6143b9c4d9a94b

Canonical record JSON

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    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-05-17T19:20:17Z",
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