dorsal/arxiv
View SchemaScaling at the selective withdrawal transition
| Authors | Itai Cohen, Sidney R. Nagel |
|---|---|
| Categories | |
| ArXiv ID | physics/0201036 |
| URL | https://arxiv.org/abs/physics/0201036 |
| DOI | 10.1103/PhysRevLett.88.074501 |
| Journal | Physical Review Letters 88 (7): Art. No. 074501 Feb 18 2002 |
Abstract
In the selective withdrawal experiment fluid is withdrawn through a tube with its tip suspended a distance S above an unperturbed two-fluid interface. At low withdrawal rates, Q, the interface forms a steady state hump and only the upper fluid is withdrawn. When Q is increased (or S decreased), the interface undergoes a transition so that the lower fluid is entrained with the upper one, forming a thin steady-state spout. Near this discontinuous transition the hump curvature becomes very large and displays power-law scaling behavior. This scaling is used to show that steady-state profiles for humps at different flow rates and tube heights can all be scaled onto a single similarity profile.
{
"annotation_id": "9a1fe350-c6bc-42d1-b941-7a5d8b2c38b3",
"date_created": "2026-03-02T18:00:38.975000Z",
"date_modified": "2026-03-02T18:00:38.975000Z",
"file_hash": "2268239011a1be7a28cdba137079e4620480348a46e41bd95101fb28a6b15d00",
"private": false,
"record": {
"abstract": "In the selective withdrawal experiment fluid is withdrawn through a tube with\nits tip suspended a distance S above an unperturbed two-fluid interface. At low\nwithdrawal rates, Q, the interface forms a steady state hump and only the upper\nfluid is withdrawn. When Q is increased (or S decreased), the interface\nundergoes a transition so that the lower fluid is entrained with the upper one,\nforming a thin steady-state spout. Near this discontinuous transition the hump\ncurvature becomes very large and displays power-law scaling behavior. This\nscaling is used to show that steady-state profiles for humps at different flow\nrates and tube heights can all be scaled onto a single similarity profile.",
"arxiv_id": "physics/0201036",
"authors": [
"Itai Cohen",
"Sidney R. Nagel"
],
"categories": [
"physics.flu-dyn",
"physics.gen-ph"
],
"doi": "10.1103/PhysRevLett.88.074501",
"journal_ref": "Physical Review Letters 88 (7): Art. No. 074501 Feb 18 2002",
"title": "Scaling at the selective withdrawal transition",
"url": "https://arxiv.org/abs/physics/0201036"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "9a829c9b-b950-4829-97e7-c61781fe8214",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}