{
  "id": "2410.07366",
  "version": "v1",
  "published": "2024-10-09T18:25:53.000Z",
  "updated": "2024-10-09T18:25:53.000Z",
  "title": "Potential Flows with Electromagnetically-Induced Circulation in a Hele-Shaw Cell",
  "authors": [
    "Kyle I. McKee",
    "John W. M. Bush"
  ],
  "categories": [
    "physics.flu-dyn",
    "math.CV"
  ],
  "abstract": "In Hele-Shaw cells, pressure-driven viscous fluid motion between two closely-spaced plates gives rise to a two-dimensional potential flow with zero circulation. Here, we show how the introduction of electromagnetic effects enables the realization of potential flows with circulation. We present canonical Hele-Shaw experiments with circulation prescribed by the electromagnetic configuration, and rationalize the observed flows theoretically. We also draw an analogy between this new class of circulatory potential flows and a class of electrostatic systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-09T18:25:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hele-shaw cell",
      "electromagnetically-induced circulation",
      "two-dimensional potential flow",
      "pressure-driven viscous fluid motion",
      "electromagnetic effects enables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}