dorsal/arxiv
View SchemaSink flow deforms the interface between a viscous liquid and air into a tip singularity
| Authors | S. Courrech du Pont, J. Eggers |
|---|---|
| Categories | |
| ArXiv ID | physics/0512095 |
| URL | https://arxiv.org/abs/physics/0512095 |
| DOI | 10.1103/PhysRevLett.96.034501 |
Abstract
In our experiment, an interface between a viscous liquid and air is deformed by a sink flow of constant flow rate to form a sharp tip. Using a microscope, the interface shape is recorded down to a tip size of 1 $\rm{\mu m}$. The curvature at the tip is controlled by the distance $h$ between the tip and the sink. As a critical distance $h^{\star}$ is approached, the curvature diverges like $1/(h-h^{\star})^3$ and the tip becomes cone-shaped. As the distance to the sink is decreased further, the opening angle of the cone vanishes like $h^2$. No evidence for air entrainment was found, except when the tip was inside the orifice.
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"abstract": "In our experiment, an interface between a viscous liquid and air is deformed\nby a sink flow of constant flow rate to form a sharp tip. Using a microscope,\nthe interface shape is recorded down to a tip size of 1 $\\rm{\\mu m}$. The\ncurvature at the tip is controlled by the distance $h$ between the tip and the\nsink. As a critical distance $h^{\\star}$ is approached, the curvature diverges\nlike $1/(h-h^{\\star})^3$ and the tip becomes cone-shaped. As the distance to\nthe sink is decreased further, the opening angle of the cone vanishes like\n$h^2$. No evidence for air entrainment was found, except when the tip was\ninside the orifice.",
"arxiv_id": "physics/0512095",
"authors": [
"S. Courrech du Pont",
"J. Eggers"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1103/PhysRevLett.96.034501",
"title": "Sink flow deforms the interface between a viscous liquid and air into a tip singularity",
"url": "https://arxiv.org/abs/physics/0512095"
},
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