{
  "abstract": "Coenen \\textit{et al.}\\ (\\textit{J. Fluid Mech.}, vol.~921, 2021, p.~R2) developed a reduced-order model of peristaltic pumping in non-axisymmetric annular conduits with rigid walls, in the context of periarterial space (PAS) flows. \\textit{In vivo} studies show that the PAS's outer wall undergoes significant displacement due to flow within and that the penetrating PASs form a porous pathway. To account for these biomechanical aspects, we revisit the problem of flow in an eccentric annular conduit and incorporate porous drag and two-way-coupled fluid--structure interaction between the compliant outer wall and the cerebrospinal fluid flow within. A Darcy--Brinkman term in the axial momentum equation accounts for drag due to the porous medium. We account for changes in hydraulic resistance due to peristalsis and compliant-wall displacements perturbatively, thereby reducing the problem to a single nonlinear partial differential equation for the axial pressure. This reduced-order model allows us to build a mechanistic understanding of flow through a porous penetrating PAS and enables parametric studies. For small-amplitude peristaltic waves, analytical solutions are possible.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Journal of Fluid Mechanics 1045 (2026) A30",
  "arxiv": "2607.15239",
  "author_total": 2,
  "authors": [
    {
      "name": "Nishanth Surianarayanan"
    },
    {
      "name": "Ivan C. Christov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/efcg1qnejwhvq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.15239",
  "fulltext_url": null,
  "id": "efcg1qnejwhvq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.15239",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "arxiv",
      "physics.med-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2607.15239",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/efcg1qnejwhvq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2607.15239",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.15239"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.med-ph",
      "subfield": "biological-medical"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Flow in a porous non-axisymmetric annular conduit: Coupling wall compliance and peristalsis",
  "title_text": "Flow in a porous non-axisymmetric annular conduit: Coupling wall compliance and peristalsis",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/efcg1qnejwhvq",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1017/jfm.2026.12064",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}