{
  "abstract": "Premixed flames in stagnation point flows are traditionally described using Navier--Stokes equations where inertia and density variations play an important part in determining the flame structure. However, in porous media or Hele-Shaw configurations, Darcy's law replaces the momentum balance, shifting the governing physics to a balance between pressure and viscous forces. This study investigates non-adiabatic strained premixed flames under Darcy's law, pertinent in particular to confined flames in Hele-Shaw burners, accounting for non-unity Lewis numbers and volumetric heat losses. The flame is established in a planar counterflow formed by impinging a cold unburnt gas and a hot burnt gas maintained at the adiabatic flame temperature. We show that the jump in the strain rate across the flame is associated with a jump in viscosity, rather than, as in the classical Navier--Stokes case, a jump in density. Furthermore, the ratio of viscosity to the density-permeability product $μ/ρκ$, i.e., kinematic viscous resistance, is identified as a key coordinate stretching factor in the mathematical description of the flame structure. This ratio increases significantly across the flame. As a result: (1) the burnt gas acts as a strong viscous barrier, (2) for an increasing strain rate, flame migration towards the burnt gas is hindered, (3) for a decreasing strain rate, migration towards the unburnt gas is promoted, and (4) streamline refraction is augmented. By analysing the burning rate across varying strain rates and heat-loss parameters, we identify distinct extinction and ignition regimes that fundamentally differ from classical combustion theory, thereby providing new insights into flame stabilisation in friction-dominated environments and under confinement.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Combust. Flame 292 (2026) 115230",
  "arxiv": "2606.28909",
  "author_total": 2,
  "authors": [
    {
      "name": "Prabakaran Rajamanickam"
    },
    {
      "name": "Joel Daou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cjndg2bn1hg6k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.28909",
  "fulltext_url": null,
  "id": "cjndg2bn1hg6k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.28909",
  "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/2606.28909",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cjndg2bn1hg6k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:07Z",
      "native_id": "2606.28909",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.28909"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Premixed flames in a stagnation point flow under Darcy's law",
  "title_text": "Premixed flames in a stagnation point flow under Darcy's law",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:07Z",
  "url": "https://research.draconitic.com/paper/cjndg2bn1hg6k",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1016/j.combustflame.2026.115230",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}