Probability density function of turbulent velocity fluctuation

Details Probability density function of turbulent velocity fluctuation Probability density function of turbulent velocity fluctuation

2002-03-11

arxiv.org/abs/physics/0203028v1

PRE, 65, 056304 [2002]

Physics

Fluid Dynamics

7 pages, 8 figures in a PS file, to appear in Physical Review E

Scientific paper

10.1103/PhysRevE.65.056304

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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