dorsal/arxiv
View SchemaScaling and self-similarity in an unforced flow of inviscid fluid trapped inside a viscous fluid in a Hele-Shaw cell
| Authors | Arkady Vilenkin, Baruch Meerson, Pavel V. Sasorov |
|---|---|
| Categories | |
| ArXiv ID | physics/0512242 |
| URL | https://arxiv.org/abs/physics/0512242 |
| DOI | 10.1103/PhysRevLett.96.044504 |
Abstract
We investigate quasi-two-dimensional relaxation, by surface tension, of a long straight stripe of inviscid fluid trapped inside a viscous fluid in a Hele-Shaw cell. Combining analytical and numerical solutions, we describe the emergence of a self-similar dumbbell shape and find non-trivial dynamic exponents that characterize scaling behavior of the dumbbell dimensions.
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"abstract": "We investigate quasi-two-dimensional relaxation, by surface tension, of a\nlong straight stripe of inviscid fluid trapped inside a viscous fluid in a\nHele-Shaw cell. Combining analytical and numerical solutions, we describe the\nemergence of a self-similar dumbbell shape and find non-trivial dynamic\nexponents that characterize scaling behavior of the dumbbell dimensions.",
"arxiv_id": "physics/0512242",
"authors": [
"Arkady Vilenkin",
"Baruch Meerson",
"Pavel V. Sasorov"
],
"categories": [
"physics.flu-dyn",
"nlin.PS",
"physics.comp-ph"
],
"doi": "10.1103/PhysRevLett.96.044504",
"title": "Scaling and self-similarity in an unforced flow of inviscid fluid trapped inside a viscous fluid in a Hele-Shaw cell",
"url": "https://arxiv.org/abs/physics/0512242"
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