dorsal/arxiv
View SchemaThe secondary flow in a short aspect ratio circular lid driven cavity at small but finite Reynolds number
| Authors | Benson K. Muite |
|---|---|
| Categories | |
| ArXiv ID | physics/0310100 |
| URL | https://arxiv.org/abs/physics/0310100 |
Abstract
Regular perturbation solutions are obtained for the Stokes flow field, the first order effects of inertia on the flow field, and the primary and secondary pressure fields in the circular lid driven cavity. The physical mechanism that causes vortex breakdown exists at small Reynolds number; it is a stagnation of the secondary flow by an adverse pressure gradient. The discontinuity between the rotating lid and the stationary sidewall has negligible influence on the flow field provided that the inertial forcing of the secondary flow is not localized near the boundary discontinuity, and the Reynolds number is small.
{
"annotation_id": "58d16553-d983-474b-a5c2-763c2a06b3a5",
"date_created": "2026-03-02T18:00:46.974000Z",
"date_modified": "2026-03-02T18:00:46.974000Z",
"file_hash": "2e85af3a7a831376a32b79ee10a2992a79adabb0d5dc0745f127d3ed89f074dd",
"private": false,
"record": {
"abstract": "Regular perturbation solutions are obtained for the Stokes flow field, the\nfirst order effects of inertia on the flow field, and the primary and secondary\npressure fields in the circular lid driven cavity. The physical mechanism that\ncauses vortex breakdown exists at small Reynolds number; it is a stagnation of\nthe secondary flow by an adverse pressure gradient. The discontinuity between\nthe rotating lid and the stationary sidewall has negligible influence on the\nflow field provided that the inertial forcing of the secondary flow is not\nlocalized near the boundary discontinuity, and the Reynolds number is small.",
"arxiv_id": "physics/0310100",
"authors": [
"Benson K. Muite"
],
"categories": [
"physics.flu-dyn"
],
"title": "The secondary flow in a short aspect ratio circular lid driven cavity at small but finite Reynolds number",
"url": "https://arxiv.org/abs/physics/0310100"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "762c5d67-1c71-4850-91a0-eee8551a9463",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}