dorsal/arxiv
View SchemaFalling of a viscous jet onto a moving surface
| Authors | A. Hlod, A. C. T. Aarts, A. A. F. Van De Ven, M. A. Peletier |
|---|---|
| Categories | |
| ArXiv ID | physics/0607042 |
| URL | https://arxiv.org/abs/physics/0607042 |
Abstract
We analyze the stationary flow of a jet of Newtonian fluid that is drawn by gravity onto a moving surface. The situation is modeled by a third-order ODE on a domain of unknown length and with an additional integral condition; by solving part of the equation explicitly we can reformulate the problem as a first-order ODE, again with an integral constraint. We show that there are two flow regimes, and characterize the associated regions in the three-dimensional parameter space in terms of an easily calculable quantity. In a qualitative sense the results from the model are found to correspond with experimental observations.
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"abstract": "We analyze the stationary flow of a jet of Newtonian fluid that is drawn by\ngravity onto a moving surface. The situation is modeled by a third-order ODE on\na domain of unknown length and with an additional integral condition; by\nsolving part of the equation explicitly we can reformulate the problem as a\nfirst-order ODE, again with an integral constraint. We show that there are two\nflow regimes, and characterize the associated regions in the three-dimensional\nparameter space in terms of an easily calculable quantity. In a qualitative\nsense the results from the model are found to correspond with experimental\nobservations.",
"arxiv_id": "physics/0607042",
"authors": [
"A. Hlod",
"A. C. T. Aarts",
"A. A. F. Van De Ven",
"M. A. Peletier"
],
"categories": [
"physics.flu-dyn"
],
"title": "Falling of a viscous jet onto a moving surface",
"url": "https://arxiv.org/abs/physics/0607042"
},
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