dorsal/arxiv
View SchemaNon-Newtonian thin films with normal stresses: dynamics and spreading
| Authors | Arezki Boudaoud |
|---|---|
| Categories | |
| ArXiv ID | physics/0605062 |
| URL | https://arxiv.org/abs/physics/0605062 |
| DOI | 10.1140/epje/e2007-00026-9 |
Abstract
The dynamics of thin films on a horizontal solid substrate is investigated in the case of non-Newtonian fluids exhibiting normal stress differences, the rheology of which is strongly non-linear. Two coupled equations of evolution for the thickness of the film and the shear rate are proposed within the lubrication approximation. This framework is applied to the motion of an advancing contact line. The apparent dynamic contact angle is found to depend logarithmically on a lengthscale determined solely by the rheological properties of the fluid and the velocity of the contact line.
{
"annotation_id": "9c54f467-f410-4915-baa7-f7676ba459e5",
"date_created": "2026-03-02T18:01:07.415000Z",
"date_modified": "2026-03-02T18:01:07.415000Z",
"file_hash": "a55b0c449d64b38eb141cbcc92bd974c51681b32fa98fc5082080d70751c4c80",
"private": false,
"record": {
"abstract": "The dynamics of thin films on a horizontal solid substrate is investigated in\nthe case of non-Newtonian fluids exhibiting normal stress differences, the\nrheology of which is strongly non-linear. Two coupled equations of evolution\nfor the thickness of the film and the shear rate are proposed within the\nlubrication approximation. This framework is applied to the motion of an\nadvancing contact line. The apparent dynamic contact angle is found to depend\nlogarithmically on a lengthscale determined solely by the rheological\nproperties of the fluid and the velocity of the contact line.",
"arxiv_id": "physics/0605062",
"authors": [
"Arezki Boudaoud"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1140/epje/e2007-00026-9",
"title": "Non-Newtonian thin films with normal stresses: dynamics and spreading",
"url": "https://arxiv.org/abs/physics/0605062"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "38861842-2c72-4550-ad96-18a3f697f511",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}