Probability density function of turbulent velocity fluctuations in rough-wall boundary layer

Details Probability density function of turbulent velocity fluctuations in rough-wall boundary layer Probability density function of turbulent velocity fluctuations in rough-wall boundary layer

2003-07-23

arxiv.org/abs/physics/0307110v1

PRE, 68, 036311 [2003]

Physics

Fluid Dynamics

6 pages, to appear in Physical Review E

Scientific paper

10.1103/PhysRevE.68.036311

The probability density function of single-point velocity fluctuations in turbulence is studied systematically using Fourier coefficients in the energy-containing range. In ideal turbulence where energy-containing motions are random and independent, the Fourier coefficients tend to Gaussian and independent of each other. Velocity fluctuations accordingly tend to Gaussian. However, if energy-containing motions are intermittent or contaminated with bounded-amplitude motions such as wavy wakes, the Fourier coefficients tend to non-Gaussian and dependent of each other. Velocity fluctuations accordingly tend to non-Gaussian. These situations are found in our experiment of a rough-wall boundary layer.

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