dorsal/arxiv
View SchemaProbability density function of turbulent velocity fluctuation
| Authors | H. Mouri, M. Takaoka, A. Hori, Y. Kawashima |
|---|---|
| Categories | |
| ArXiv ID | physics/0203028 |
| URL | https://arxiv.org/abs/physics/0203028 |
| DOI | 10.1103/PhysRevE.65.056304 |
| Journal | PRE, 65, 056304 [2002] |
Abstract
The probability density function (PDF) of velocity fluctuations is studied experimentally for grid turbulence in a systematical manner. At small distances from the grid, where the turbulence is still developing, the PDF is sub-Gaussian. At intermediate distances, where the turbulence is fully developed, the PDF is Gaussian. At large distances, where the turbulence has decayed, the PDF is hyper-Gaussian. The Fourier transforms of the velocity fluctuations always have Gaussian PDFs. At intermediate distances from the grid, the Fourier transforms are statistically independent of each other. This is the necessary and sufficient condition for Gaussianity of the velocity fluctuations. At small and large distances, the Fourier transforms are dependent.
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"abstract": "The probability density function (PDF) of velocity fluctuations is studied\nexperimentally for grid turbulence in a systematical manner. At small distances\nfrom the grid, where the turbulence is still developing, the PDF is\nsub-Gaussian. At intermediate distances, where the turbulence is fully\ndeveloped, the PDF is Gaussian. At large distances, where the turbulence has\ndecayed, the PDF is hyper-Gaussian. The Fourier transforms of the velocity\nfluctuations always have Gaussian PDFs. At intermediate distances from the\ngrid, the Fourier transforms are statistically independent of each other. This\nis the necessary and sufficient condition for Gaussianity of the velocity\nfluctuations. At small and large distances, the Fourier transforms are\ndependent.",
"arxiv_id": "physics/0203028",
"authors": [
"H. Mouri",
"M. Takaoka",
"A. Hori",
"Y. Kawashima"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1103/PhysRevE.65.056304",
"journal_ref": "PRE, 65, 056304 [2002]",
"title": "Probability density function of turbulent velocity fluctuation",
"url": "https://arxiv.org/abs/physics/0203028"
},
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