dorsal/arxiv
View SchemaThe return branch of viscous fingers
| Authors | Francisco Vera |
|---|---|
| Categories | |
| ArXiv ID | physics/0505125 |
| URL | https://arxiv.org/abs/physics/0505125 |
Abstract
We report a simple experiment of two-dimensional pattern formation in a circular Hele-Shaw cell, showing the appearance of a return branch that is equivalent to the upward-connecting leader of lightning. Injecting water from the center into a foam filled cell, we obtained patterns similar to dendrites of two-dimensional dielectric breakdown experiments. When we repeat this experiment allowing the presence of water in the outer (low pressure) region, dendrites grow initially as in a normal experiment, but when a branch is near the outer boundary, the low pressure water begins to penetrate the foam against the pressure field, forming several return branches.
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"date_created": "2026-03-02T18:00:57.242000Z",
"date_modified": "2026-03-02T18:00:57.242000Z",
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"record": {
"abstract": "We report a simple experiment of two-dimensional pattern formation in a\ncircular Hele-Shaw cell, showing the appearance of a return branch that is\nequivalent to the upward-connecting leader of lightning. Injecting water from\nthe center into a foam filled cell, we obtained patterns similar to dendrites\nof two-dimensional dielectric breakdown experiments. When we repeat this\nexperiment allowing the presence of water in the outer (low pressure) region,\ndendrites grow initially as in a normal experiment, but when a branch is near\nthe outer boundary, the low pressure water begins to penetrate the foam against\nthe pressure field, forming several return branches.",
"arxiv_id": "physics/0505125",
"authors": [
"Francisco Vera"
],
"categories": [
"physics.flu-dyn",
"nlin.PS"
],
"title": "The return branch of viscous fingers",
"url": "https://arxiv.org/abs/physics/0505125"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6f46a75b-5f91-4a03-be3e-b421e803b3d1",
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"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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