dorsal/arxiv
View SchemaScaling dependence on the fluid viscosity ratio in the selective withdrawal transition
| Authors | Itai Cohen |
|---|---|
| Categories | |
| ArXiv ID | physics/0201037 |
| URL | https://arxiv.org/abs/physics/0201037 |
| DOI | 10.1103/PhysRevE.70.026302 |
| Journal | Phys. Rev. E 70, 026302 (2004) |
Abstract
In the selective withdrawal experiment fluid is withdrawn through a tube with its tip suspended a distance S above a two-fluid interface. At sufficiently low withdrawal rates, Q, the interface forms a steady state hump and only the upper fluid is withdrawn. When Q is increased (or S decreased), the interface undergoes a transition so that the lower fluid is entrained with the upper one, forming a thin steady-state spout. Near this transition the hump curvature becomes very large and displays power-law scaling behavior. This scaling allows for steady-state hump profiles at different flow rates and tube heights to be scaled onto a single similarity profile. I show that the scaling behavior is independent of the viscosity ratio.
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"abstract": "In the selective withdrawal experiment fluid is withdrawn through a tube with\nits tip suspended a distance S above a two-fluid interface. At sufficiently low\nwithdrawal rates, Q, the interface forms a steady state hump and only the upper\nfluid is withdrawn. When Q is increased (or S decreased), the interface\nundergoes a transition so that the lower fluid is entrained with the upper one,\nforming a thin steady-state spout. Near this transition the hump curvature\nbecomes very large and displays power-law scaling behavior. This scaling allows\nfor steady-state hump profiles at different flow rates and tube heights to be\nscaled onto a single similarity profile. I show that the scaling behavior is\nindependent of the viscosity ratio.",
"arxiv_id": "physics/0201037",
"authors": [
"Itai Cohen"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1103/PhysRevE.70.026302",
"journal_ref": "Phys. Rev. E 70, 026302 (2004)",
"title": "Scaling dependence on the fluid viscosity ratio in the selective withdrawal transition",
"url": "https://arxiv.org/abs/physics/0201037"
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