dorsal/arxiv
View SchemaLeray-alpha model and transition to turbulence in rough-wall boundary layers
| Authors | Alexey Cheskidov, Diana Ma |
|---|---|
| Categories | |
| ArXiv ID | physics/0611001 |
| URL | https://arxiv.org/abs/physics/0611001 |
Abstract
In the present study, we use a fifth-order ordinary differential equation, a generalization of the Blasius equation derived from the Leray-alpha model, to examine the transition to turbulence in rough-wall boundary-layer flows. This equation, combined with a weaker formulation of the von Karman log law modified to include the effects of surface roughness, provides a family of turbulent velocity profiles with two free parameters: the momentum thickness based Reynolds number and the roughness function. As a result, a skin-friction correlation is obtained and predictions of the transitional Reynolds numbers and maximal skin-friction values are made based on the roughness function.
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"abstract": "In the present study, we use a fifth-order ordinary differential equation, a\ngeneralization of the Blasius equation derived from the Leray-alpha model, to\nexamine the transition to turbulence in rough-wall boundary-layer flows. This\nequation, combined with a weaker formulation of the von Karman log law modified\nto include the effects of surface roughness, provides a family of turbulent\nvelocity profiles with two free parameters: the momentum thickness based\nReynolds number and the roughness function. As a result, a skin-friction\ncorrelation is obtained and predictions of the transitional Reynolds numbers\nand maximal skin-friction values are made based on the roughness function.",
"arxiv_id": "physics/0611001",
"authors": [
"Alexey Cheskidov",
"Diana Ma"
],
"categories": [
"physics.flu-dyn"
],
"title": "Leray-alpha model and transition to turbulence in rough-wall boundary layers",
"url": "https://arxiv.org/abs/physics/0611001"
},
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"type": "Model",
"variant": "snapshot-2026-03-01",
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