dorsal/arxiv
View SchemaDrop Formation in a One-Dimensional Approximation of the Navier-Stokes Equation
| Authors | Jens Eggers, Todd F. Dupont |
|---|---|
| Categories | |
| ArXiv ID | physics/0110081 |
| URL | https://arxiv.org/abs/physics/0110081 |
| DOI | 10.1017/S0022112094000480 |
| Journal | published in Journal of Fluid Mechanics vol. 262, pp. 205-221 (1994) |
Abstract
We consider the viscous motion of a thin, axisymmetric column of fluid with a free surface. A one-dimensional equation of motion for the velocity and the radius is derived from the Navier-Stokes equation. We compare with recent experiments on the breakup of a liquid jet and on the bifurcation of a drop suspended from an orifice. The equations form singularities as the fluid neck is pinching off. The nature of the singularities is investigated in detail.
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"abstract": "We consider the viscous motion of a thin, axisymmetric column of fluid with a\nfree surface. A one-dimensional equation of motion for the velocity and the\nradius is derived from the Navier-Stokes equation. We compare with recent\nexperiments on the breakup of a liquid jet and on the bifurcation of a drop\nsuspended from an orifice. The equations form singularities as the fluid neck\nis pinching off. The nature of the singularities is investigated in detail.",
"arxiv_id": "physics/0110081",
"authors": [
"Jens Eggers",
"Todd F. Dupont"
],
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"physics.flu-dyn"
],
"doi": "10.1017/S0022112094000480",
"journal_ref": "published in Journal of Fluid Mechanics vol. 262, pp. 205-221\n (1994)",
"title": "Drop Formation in a One-Dimensional Approximation of the Navier-Stokes Equation",
"url": "https://arxiv.org/abs/physics/0110081"
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