dorsal/arxiv
View SchemaA viscous compressible model of soap film flow and its equivalence with the Navier-Stokes equations
| Authors | Petri Fast |
|---|---|
| Categories | |
| ArXiv ID | physics/0511175 |
| URL | https://arxiv.org/abs/physics/0511175 |
Abstract
We present a quasi-two dimensional model of flowing soap films that bears striking similarity to the compressible Navier-Stokes equations. The variation in soap film thickness that is commonly used for flow visualization in experiments is analogous to density variations in the Navier-Stokes equations. When the soap film flow velocity is comparable to the Marangoni elastic wave velocity we recover the compressible Navier-Stokes equations and the soap film behaves like a two-dimensional isothermal viscous gas.
{
"annotation_id": "087004ac-edb9-40d9-826c-6e484981db65",
"date_created": "2026-03-02T18:01:03.287000Z",
"date_modified": "2026-03-02T18:01:03.287000Z",
"file_hash": "c10275ed6eedf0c2231db916981cda840c2f240bf898d255f39baf97e2722edf",
"private": false,
"record": {
"abstract": "We present a quasi-two dimensional model of flowing soap films that bears\nstriking similarity to the compressible Navier-Stokes equations. The variation\nin soap film thickness that is commonly used for flow visualization in\nexperiments is analogous to density variations in the Navier-Stokes equations.\nWhen the soap film flow velocity is comparable to the Marangoni elastic wave\nvelocity we recover the compressible Navier-Stokes equations and the soap film\nbehaves like a two-dimensional isothermal viscous gas.",
"arxiv_id": "physics/0511175",
"authors": [
"Petri Fast"
],
"categories": [
"physics.flu-dyn"
],
"title": "A viscous compressible model of soap film flow and its equivalence with the Navier-Stokes equations",
"url": "https://arxiv.org/abs/physics/0511175"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "610b56d2-2578-436b-8cb3-a24956167f69",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}