dorsal/arxiv
View SchemaSpherical Couette flow in a dipolar magnetic field
| Authors | Rainer Hollerbach, Elisabeth Canet, Alexandre Fournier |
|---|---|
| Categories | |
| ArXiv ID | physics/0702228 |
| URL | https://arxiv.org/abs/physics/0702228 |
| DOI | 10.1016/j.euromechflu.2007.02.002 |
| Journal | European Journal of Mechanics B, 26 (2007) 729-737 |
Abstract
We consider numerically the flow of an electrically conducting fluid in a differentially rotating spherical shell, in a dipolar magnetic field. For infinitesimal differential rotation the flow consists of a super-rotating region, concentrated on the particular field line C just touching the outer sphere, in agreement with previous results. Finite differential rotation suppresses this super-rotation, and pushes it inward, toward the equator of the inner sphere. For sufficiently strong differential rotation the outer boundary layer becomes unstable, yielding time-dependent solutions. Adding an overall rotation suppresses these instabilities again. The results are in qualitative agreement with the DTS liquid sodium experiment.
{
"annotation_id": "64e8ee7f-f70f-4561-aade-cf549716c3bf",
"date_created": "2026-03-02T18:01:18.554000Z",
"date_modified": "2026-03-02T18:01:18.554000Z",
"file_hash": "808c2702f28e682be5a466b4dd784523ec49195e76afbce060f3717b7b682da5",
"private": false,
"record": {
"abstract": "We consider numerically the flow of an electrically conducting fluid in a\ndifferentially rotating spherical shell, in a dipolar magnetic field. For\ninfinitesimal differential rotation the flow consists of a super-rotating\nregion, concentrated on the particular field line C just touching the outer\nsphere, in agreement with previous results. Finite differential rotation\nsuppresses this super-rotation, and pushes it inward, toward the equator of the\ninner sphere. For sufficiently strong differential rotation the outer boundary\nlayer becomes unstable, yielding time-dependent solutions. Adding an overall\nrotation suppresses these instabilities again. The results are in qualitative\nagreement with the DTS liquid sodium experiment.",
"arxiv_id": "physics/0702228",
"authors": [
"Rainer Hollerbach",
"Elisabeth Canet",
"Alexandre Fournier"
],
"categories": [
"physics.geo-ph",
"physics.flu-dyn"
],
"doi": "10.1016/j.euromechflu.2007.02.002",
"journal_ref": "European Journal of Mechanics B, 26 (2007) 729-737",
"title": "Spherical Couette flow in a dipolar magnetic field",
"url": "https://arxiv.org/abs/physics/0702228"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5e3a8e3e-e94f-4b97-b1d6-4daad9a7f407",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}