dorsal/arxiv
View SchemaTheory of Drop Formation
| Authors | Jens Eggers |
|---|---|
| Categories | |
| ArXiv ID | physics/0111003 |
| URL | https://arxiv.org/abs/physics/0111003 |
| DOI | 10.1063/1.868570 |
| Journal | Physics of Fluids 7, 941-953 (1994) |
Abstract
We consider the motion of an axisymmetric column of Navier-Stokes fluid with a free surface. Due to surface tension, the thickness of the fluid neck goes to zero in finite time. After the singularity, the fluid consists of two halves, which constitute a unique continuation of the Navier-Stokes equation through the singular point. We calculate the asymptotic solutions of the Navier-Stokes equation, both before and after the singularity. The solutions have scaling form, characterized by universal exponents as well as universal scaling functions, which we compute without adjustable parameters.
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"abstract": "We consider the motion of an axisymmetric column of Navier-Stokes fluid with\na free surface. Due to surface tension, the thickness of the fluid neck goes to\nzero in finite time. After the singularity, the fluid consists of two halves,\nwhich constitute a unique continuation of the Navier-Stokes equation through\nthe singular point. We calculate the asymptotic solutions of the Navier-Stokes\nequation, both before and after the singularity. The solutions have scaling\nform, characterized by universal exponents as well as universal scaling\nfunctions, which we compute without adjustable parameters.",
"arxiv_id": "physics/0111003",
"authors": [
"Jens Eggers"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1063/1.868570",
"journal_ref": "Physics of Fluids 7, 941-953 (1994)",
"title": "Theory of Drop Formation",
"url": "https://arxiv.org/abs/physics/0111003"
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