dorsal/arxiv
View SchemaSelection of the Saffman-Taylor Finger Width in the Absence of Surface Tension: an Exact Result
| Authors | Mark Mineev-Weinstein |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9705004 |
| URL | https://arxiv.org/abs/patt-sol/9705004 |
| DOI | 10.1103/PhysRevLett.80.2113 |
Abstract
Using our exact time-depending solutions, we solve the Saffman-Taylor finger selection problem in the absence of surface tension by showing that an arbitrary interface in a Hele-Shaw cell evolves to a single uniformly advancing finger occupying one half of the channel width. This result contradicts the generally accepted belief that surface tension is indispensable for the selection of the one-half-width finger.
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"abstract": "Using our exact time-depending solutions, we solve the Saffman-Taylor finger\nselection problem in the absence of surface tension by showing that an\narbitrary interface in a Hele-Shaw cell evolves to a single uniformly advancing\nfinger occupying one half of the channel width.\n This result contradicts the generally accepted belief that surface tension is\nindispensable for the selection of the one-half-width finger.",
"arxiv_id": "patt-sol/9705004",
"authors": [
"Mark Mineev-Weinstein"
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"doi": "10.1103/PhysRevLett.80.2113",
"title": "Selection of the Saffman-Taylor Finger Width in the Absence of Surface Tension: an Exact Result",
"url": "https://arxiv.org/abs/patt-sol/9705004"
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