dorsal/arxiv
View SchemaTurbulent Friction in Rough Pipes and the Energy Spectrum of the Phenomenological Theory
| Authors | G. Gioia, Pinaki Chakraborty |
|---|---|
| Categories | |
| ArXiv ID | physics/0507066 |
| URL | https://arxiv.org/abs/physics/0507066 |
| DOI | 10.1103/PhysRevLett.96.044502 |
Abstract
The classical experiments on turbulent friction in rough pipes were performed by J. Nikuradse in the 1930's. Seventy years later, they continue to defy theory. Here we model Nikuradse's experiments using the phenomenological theory of Kolmog\'orov, a theory that is widely thought to be applicable only to highly idealized flows. Our results include both the empirical scalings of Blasius and Strickler, and are otherwise in minute qualitative agreement with the experiments; they suggest that the phenomenological theory may be relevant to other flows of practical interest; and they unveil the existence of close ties between two milestones of experimental and theoretical turbulence.
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"abstract": "The classical experiments on turbulent friction in rough pipes were performed\nby J. Nikuradse in the 1930\u0027s. Seventy years later, they continue to defy\ntheory. Here we model Nikuradse\u0027s experiments using the phenomenological theory\nof Kolmog\\\u0027orov, a theory that is widely thought to be applicable only to\nhighly idealized flows. Our results include both the empirical scalings of\nBlasius and Strickler, and are otherwise in minute qualitative agreement with\nthe experiments; they suggest that the phenomenological theory may be relevant\nto other flows of practical interest; and they unveil the existence of close\nties between two milestones of experimental and theoretical turbulence.",
"arxiv_id": "physics/0507066",
"authors": [
"G. Gioia",
"Pinaki Chakraborty"
],
"categories": [
"physics.flu-dyn",
"nlin.CD"
],
"doi": "10.1103/PhysRevLett.96.044502",
"title": "Turbulent Friction in Rough Pipes and the Energy Spectrum of the Phenomenological Theory",
"url": "https://arxiv.org/abs/physics/0507066"
},
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