{
  "abstract": "Flow transitions in electromagnetically-driven swirl in a cylindrical domain are investigated using three-dimensional simulations for a liquid metal battery electrode. The parameter space considered: applied current $I=11.11-100A$; Current density, $J_0 \\approx 4,000-35,000 A/m^2$, domain radius, $R=3-9cm$, domain height, $H=3$ and $4.5cm$). The background magnetic field, $B_0$, strength is varied systematically from 0.1 to 20 G to characterize the route to chaos. \\cite{davidson2022swirling} found the onset of chaos occurs around $1-1.5 G$ for aspect ratio $1/6$ and current of 100A, however, this is shifted to $16-17 G$ for a lower current of 16A and aspect ratio $1/2$. Across a range of geometrical configurations and forcing conditions, including variations in aspect ratio, current and current density, a consistent sequence of dynamical transitions is evident from phase portraits, FFT spectrum, 0-1 chaos test, autocorrelation function and correlation dimension. The flow evolution is by the Ruelle--Takens-Newhouse route to chaos, with the strange non-chaotic attractor (SNA) regime providing an intermediate state prior to the onset of chaos. In our results, it is observed that, for a fixed aspect ratio, the transition is governed by a dimensionless group, $Q_m$, representing the ratio of applied Lorentz force to viscous force. The critical value of $Q_m$ at the onset of oscillatory flow is found to be nearly invariant except when the domain height is varied. Moreover, our results follow the $Re \\sim Q_m^{2/3}$ scaling law expected from torque balance moderately-forced electro-magnetically driven swirl flows.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.39348",
  "author_total": 3,
  "authors": [
    {
      "name": "Uma Siva Sankar Kompalli"
    },
    {
      "name": "Avishek Ranjan"
    },
    {
      "name": "Suneet Singh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7dj3f4anjh9kd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.39348",
  "fulltext_url": null,
  "id": "7dj3f4anjh9kd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.39348",
  "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/2610.39348",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7dj3f4anjh9kd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.39348",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.39348"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Transition to turbulence in swirl created by a vertical magnetic field in liquid metal electrodes",
  "title_text": "Transition to turbulence in swirl created by a vertical magnetic field in liquid metal electrodes",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:45Z",
  "url": "https://research.draconitic.com/paper/7dj3f4anjh9kd",
  "venue": "arXiv",
  "versions": []
}