dorsal/arxiv
View SchemaFree surface flows with large slopes: beyond lubrication theory
| Authors | Jacco H. Snoeijer |
|---|---|
| Categories | |
| ArXiv ID | physics/0603265 |
| URL | https://arxiv.org/abs/physics/0603265 |
| DOI | 10.1063/1.2171190 |
| Journal | Phys. Fluids 18, 021701 (2006) |
Abstract
The description of free surface flows can often be simplified to thin film (or lubrication) equations, when the slopes of the liquid-gas interface are small. Here we present a long wavelength theory that remains fully quantitative for steep interface slopes, by expanding about Stokes flow in a wedge. For small capillary numbers, the variations of the interface slope are slow and can be treated perturbatively. This geometry occurs naturally for flows with contact lines: we quantify the difference with ordinary lubrication theory through a numerical example and analytically recover the full Cox-Voinov asymptotic solution.
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"abstract": "The description of free surface flows can often be simplified to thin film\n(or lubrication) equations, when the slopes of the liquid-gas interface are\nsmall. Here we present a long wavelength theory that remains fully quantitative\nfor steep interface slopes, by expanding about Stokes flow in a wedge. For\nsmall capillary numbers, the variations of the interface slope are slow and can\nbe treated perturbatively. This geometry occurs naturally for flows with\ncontact lines: we quantify the difference with ordinary lubrication theory\nthrough a numerical example and analytically recover the full Cox-Voinov\nasymptotic solution.",
"arxiv_id": "physics/0603265",
"authors": [
"Jacco H. Snoeijer"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1063/1.2171190",
"journal_ref": "Phys. Fluids 18, 021701 (2006)",
"title": "Free surface flows with large slopes: beyond lubrication theory",
"url": "https://arxiv.org/abs/physics/0603265"
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