dorsal/arxiv
View SchemaLong-Wavelength Instability in Surface-Tension-Driven Benard Convection
| Authors | Stephen J. Vanhook, Michael F. Schatz, William D. McCormick, J. B. Swift, Harry L. Swinney |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9507001 |
| URL | https://arxiv.org/abs/patt-sol/9507001 |
| DOI | 10.1103/PhysRevLett.75.4397 |
Abstract
Laboratory studies reveal a deformational instability that leads to a drained region (dry spot) in an initially flat liquid layer (with a free upper surface) heated uniformly from below. This long-wavelength instability supplants hexagonal convection cells as the primary instability in viscous liquid layers that are sufficiently thin or are in microgravity. The instability occurs at a temperature gradient 34% smaller than predicted by linear stability theory. Numerical simulations show a drained region qualitatively similar to that seen in the experiment.
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"abstract": "Laboratory studies reveal a deformational instability that leads to a drained\nregion (dry spot) in an initially flat liquid layer (with a free upper surface)\nheated uniformly from below. This long-wavelength instability supplants\nhexagonal convection cells as the primary instability in viscous liquid layers\nthat are sufficiently thin or are in microgravity. The instability occurs at a\ntemperature gradient 34% smaller than predicted by linear stability theory.\nNumerical simulations show a drained region qualitatively similar to that seen\nin the experiment.",
"arxiv_id": "patt-sol/9507001",
"authors": [
"Stephen J. Vanhook",
"Michael F. Schatz",
"William D. McCormick",
"J. B. Swift",
"Harry L. Swinney"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.75.4397",
"title": "Long-Wavelength Instability in Surface-Tension-Driven Benard Convection",
"url": "https://arxiv.org/abs/patt-sol/9507001"
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