{
  "abstract": "Turbulent conjugate heat transfer (CHT) in pipes with azimuthally non-uniform heating is studied theoretically and numerically with a focus on low-$\\mathrm{Pr}$ fluids. While the influence of the solid properties is well documented for uniform heat flux, their effect under azimuthally non-uniform heating has not been explored systematically. We address this gap by combining spectral analysis of the problem -- which reduces arbitrary boundary conditions to a discrete set of azimuthal wavenumbers -- with well-resolved numerical simulations of thermally and hydraulically fully developed turbulent pipe flow at $\\mathrm{Re}_τ\\approx 180$ for $\\mathrm{Pr} = \\{0.025, 0.71\\}$, representative of liquid metals and air. Two principal results emerge: (i) the global Nusselt number is independent of the azimuthal heat-flux distribution and exhibits only a minor dependence on the solid properties, resolving an open question for low-Prandtl-number fluids; (ii) CHT nevertheless strongly affects the azimuthally resolved mean temperature at low $\\mathrm{Pr}$, where azimuthal conduction in the solid homogenises the interface heat flux, and governs the level of temperature fluctuations through the effusivity ratio (thermal activity ratio) $K$. Finally, an analysis of the turbulent Prandtl number $\\mathrm{Pr}_{t}$ shows a strong anisotropy, particularly near the wall, and a dependence on the azimuthal wavenumber.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.12709",
  "author_total": 3,
  "authors": [
    {
      "name": "Jonathan Neuhauser"
    },
    {
      "name": "Davide Gatti"
    },
    {
      "name": "Bettina Frohnapfel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5105x9hje189f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.12709",
  "fulltext_url": null,
  "id": "5105x9hje189f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.12709",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "openalex",
      "2206|Fluid Dynamics and Turbulent Flows"
    ]
  ],
  "openalex": "W7221536659",
  "pdf_url": "https://arxiv.org/pdf/2610.12709",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5105x9hje189f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2610.12709",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.12709"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Conjugate heat transfer in turbulent pipe flow with azimuthally non-uniform heating",
  "title_text": "Conjugate heat transfer in turbulent pipe flow with azimuthally non-uniform heating",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:36Z",
  "url": "https://research.draconitic.com/paper/5105x9hje189f",
  "venue": "arXiv",
  "versions": []
}