dorsal/arxiv
View SchemaAlternative to R_lambda-scaling of Small-Scale Turbulence Statistics
| Authors | Reginald J. Hill |
|---|---|
| Categories | |
| ArXiv ID | physics/0102056 |
| URL | https://arxiv.org/abs/physics/0102056 |
| DOI | 10.1017/S0022112002008984 |
Abstract
Traditionally, trends of universal turbulence statistics are presented versus R-lambda, which is the Reynolds number based on Taylor's scale, lambda, and the root-mean-squared (rms) velocity component, u'. Taylor's scale and u', and hence R-lambda, do not have the attribute of universality. The ratio of rms fluid-particle acceleration to rms viscous acceleration is an alternative to R-lambda which has the advantage of being determined by the small scales of turbulence. This ratio, denoted R-a, has the following attributes: it is a Reynolds number, it is composed of statistics of the small scales of turbulence, it can be evaluated with single-wire hot-wire anemometry, and like R-lambda, can be partially evaluated by means of flow similarity. For isotropic turbulence the relationship between R-a and R-lambda is shown. Velocity derivative flatness measured between counter-rotating blades appears monotonic when graphed versus R-a, unlike when graphed versus R-lambda.
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"abstract": "Traditionally, trends of universal turbulence statistics are presented versus\nR-lambda, which is the Reynolds number based on Taylor\u0027s scale, lambda, and the\nroot-mean-squared (rms) velocity component, u\u0027. Taylor\u0027s scale and u\u0027, and\nhence R-lambda, do not have the attribute of universality. The ratio of rms\nfluid-particle acceleration to rms viscous acceleration is an alternative to\nR-lambda which has the advantage of being determined by the small scales of\nturbulence. This ratio, denoted R-a, has the following attributes: it is a\nReynolds number, it is composed of statistics of the small scales of\nturbulence, it can be evaluated with single-wire hot-wire anemometry, and like\nR-lambda, can be partially evaluated by means of flow similarity. For isotropic\nturbulence the relationship between R-a and R-lambda is shown. Velocity\nderivative flatness measured between counter-rotating blades appears monotonic\nwhen graphed versus R-a, unlike when graphed versus R-lambda.",
"arxiv_id": "physics/0102056",
"authors": [
"Reginald J. Hill"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1017/S0022112002008984",
"title": "Alternative to R_lambda-scaling of Small-Scale Turbulence Statistics",
"url": "https://arxiv.org/abs/physics/0102056"
},
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