{
  "abstract": "We study by means of direct numerical simulations the influence of the dimensionality of convection on flow properties. We call attention to a few general principles from considering in totality the results from one dimension, two dimensions, three dimensions and four dimensions. In particular, we explore two practical aspects: (1) the transient time, or the amount of time it takes for the flow to reach the steady state; and (2) possible implications for the so-called ultimate state.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: J. Fluid Mech. (2026), vol. 1042, R3",
  "arxiv": "2607.26372",
  "author_total": 3,
  "authors": [
    {
      "name": "Ambrish Pandey"
    },
    {
      "name": "Harshit Tiwari"
    },
    {
      "name": "Katepalli R. Sreenivasan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/35tb5ax0kx6nq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.26372",
  "fulltext_url": null,
  "id": "35tb5ax0kx6nq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.26372",
  "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"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2607.26372",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/35tb5ax0kx6nq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:00Z",
      "native_id": "2607.26372",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.26372"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Thermal convection in one, two, three and four dimensions",
  "title_text": "Thermal convection in one, two, three and four dimensions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:00Z",
  "url": "https://research.draconitic.com/paper/35tb5ax0kx6nq",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1017/jfm.2026.11981",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}