{"paper":{"title":"Shear alignment and tensorial Taylor--Aris dispersion of Brownian rods in a circular tube","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Shear alignment of Brownian rods in tube flow raises the Taylor-Aris dispersion coefficient by up to 30 percent in strong shear.","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Jingsen Feng, Xu Chu","submitted_at":"2026-05-17T19:20:17Z","abstract_excerpt":"Brownian rods disperse in pressure-driven flow through a coupling between axial shear, anisotropic translational diffusion and Jeffery--Brownian rotation. Classical tube Taylor--Aris theory treats transverse mixing as a scalar process, and existing passive-rod reductions have mainly addressed planar geometries. A circular tube adds two ingredients: the shear strength varies with radius and freely rotating rods sample a three-dimensional orientation space. We formulate a tensorial Taylor--Aris theory for dilute axisymmetric rods in Poiseuille flow by solving the local steady orientation Fokker-"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"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.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"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.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"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.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Shear alignment of Brownian rods in tube flow raises the Taylor-Aris dispersion coefficient by up to 30 percent in strong shear.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"cb8fcc084661a8bf08ef1ab538dff6872b9df10b43918544e91969ccba0d8ead"},"source":{"id":"2605.17614","kind":"arxiv","version":1},"verdict":{"id":"2978720c-459d-463b-9f68-39626ec7d979","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T22:08:19.447311Z","strongest_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.","one_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.","pipeline_version":"pith-pipeline@v0.9.0","weakest_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.","pith_extraction_headline":"Shear alignment of Brownian rods in tube flow raises the Taylor-Aris dispersion coefficient by up to 30 percent in strong shear."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.17614/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"cited_work_retraction","ran_at":"2026-05-19T22:53:08.236050Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T22:31:19.522610Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T22:21:36.067579Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T21:33:23.567712Z","status":"skipped","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T21:21:57.494790Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"c3a1378df4cd1512f2b544dc2402459fed5e98a97c8b18ccfe62ae62bf827b1e"},"references":{"count":51,"sample":[{"doi":"10.1017/jfm.2022.321","year":2022,"title":"M., Shim, S., Gupta, A","work_id":"83c74f6d-7744-4c93-b021-dc070f770a1b","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1063/5.0057584","year":2021,"title":"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","work_id":"cb89f232-2c02-4175-9e3a-4e62085a0361","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1126/science.aag0532","year":2016,"title":"Aminian, M., Bernardi, F., Camassa, R., Harris, D. M. & McLaughlin, R. M. 2016 How boundaries shape chemical delivery in microfluidics. 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