dorsal/arxiv
View SchemaReynolds numbers of the large-scale flow in turbulent Rayleigh-Benard Convection
| Authors | Guenter Ahlers, Eric Brown, Denis Funfschilling, Alexei Nikolaenko |
|---|---|
| Categories | |
| ArXiv ID | physics/0507051 |
| URL | https://arxiv.org/abs/physics/0507051 |
Abstract
We measured Reynolds numbers R_e of turbulent Rayleigh-Benard convection over the Rayleigh-number range 2 times 10^8 < R < 10^11 and Prandtl-number range 3.3 < sigma < 29 for cylindrical samples of aspect ratio Gamma = 1. For R < R_c = 3 times 10^9 we found R_e ~ R^beta_eff with beta_eff = 0.46 < 1/2. Here both the sigma- and R-dependences are quantitatively consistent with the Grossmann-Lohse (GL) prediction. For R > R_c we found R_e = 0.106 sigma^-3/4 R^1/2, which differs from the GL prediction. The relatively sharp transition at R_c to the large-R regime suggests a qualitative and sudden change that renders the GL prediction inapplicable.
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"date_created": "2026-03-02T18:01:00.069000Z",
"date_modified": "2026-03-02T18:01:00.069000Z",
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"abstract": "We measured Reynolds numbers R_e of turbulent Rayleigh-Benard convection over\nthe Rayleigh-number range 2 times 10^8 \u003c R \u003c 10^11 and Prandtl-number range 3.3\n\u003c sigma \u003c 29 for cylindrical samples of aspect ratio Gamma = 1. For R \u003c R_c = 3\ntimes 10^9 we found R_e ~ R^beta_eff with beta_eff = 0.46 \u003c 1/2. Here both the\nsigma- and R-dependences are quantitatively consistent with the Grossmann-Lohse\n(GL) prediction. For R \u003e R_c we found R_e = 0.106 sigma^-3/4 R^1/2, which\ndiffers from the GL prediction. The relatively sharp transition at R_c to the\nlarge-R regime suggests a qualitative and sudden change that renders the GL\nprediction inapplicable.",
"arxiv_id": "physics/0507051",
"authors": [
"Guenter Ahlers",
"Eric Brown",
"Denis Funfschilling",
"Alexei Nikolaenko"
],
"categories": [
"physics.flu-dyn"
],
"title": "Reynolds numbers of the large-scale flow in turbulent Rayleigh-Benard Convection",
"url": "https://arxiv.org/abs/physics/0507051"
},
"schema_id": "dorsal/arxiv",
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