{
  "abstract": "Predicting the history force on a sphere beyond the creeping-flow limit remains challenging. Existing formulations have been derived or calibrated for selected flow histories, with limited evidence of their predictive accuracy under more general conditions. We develop a systematic approach to extract the history kernel of a fixed sphere in spatially uniform, unsteady flow from axisymmetric Navier-Stokes simulations of finite-duration acceleration and deceleration ramps at initial Reynolds numbers from 0.2 to 200. The resulting kernel surface recovers the Basset limit at short lags and in the creeping-flow limit and is continued beyond the resolved lags using far-wake asymptotics. At higher Reynolds numbers, the kernel develops non-monotonic behaviour at intermediate lags, associated with delayed adjustment of the boundary layer and wake. For the cases tested, the present kernel substantially improves history-force predictions for finite ramps, oscillatory forcing and non-periodic composite velocity histories relative to the literature formulations considered, without case-specific adjustment. These findings indicate that lag and Reynolds number capture the dominant memory response.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.04606",
  "author_total": 3,
  "authors": [
    {
      "name": "M. D. Łasica"
    },
    {
      "name": "J. G. M. Kuerten"
    },
    {
      "name": "S. K. F. Stoter"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dw66cmrqdz8qs.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.04606",
  "fulltext_url": null,
  "id": "dw66cmrqdz8qs",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.04606",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.flu-dyn"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.04606",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dw66cmrqdz8qs.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:25Z",
      "native_id": "2611.04606",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.04606"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Fluid memory beyond creeping flow: a history kernel for a sphere at finite Reynolds numbers",
  "title_text": "Fluid memory beyond creeping flow: a history kernel for a sphere at finite Reynolds numbers",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/dw66cmrqdz8qs",
  "venue": "arXiv",
  "versions": []
}