Vortex Tubes in Turbulence Velocity Fields at Reynolds Numbers 300-1300

Details Vortex Tubes in Turbulence Velocity Fields at Reynolds Numbers 300-1300 Vortex Tubes in Turbulence Velocity Fields at Reynolds Numbers 300-1300

2004-07-21

arxiv.org/abs/physics/0407111v2

PRE, 70, 066305 [2004]

Physics

Fluid Dynamics

8 pages, to appear in Physical Review E

Scientific paper

10.1103/PhysRevE.70.066305

The most elementary structures of turbulence, i.e., vortex tubes, are studied using velocity data obtained in a laboratory experiment for boundary layers with microscale Reynolds numbers 295-1258. We conduct conditional averaging for enhancements of a small-scale velocity increment and obtain the typical velocity profile for vortex tubes. Their radii are of the order of the Kolmogorov length. Their circulation velocities are of the order of the root-mean-square velocity fluctuation. We also obtain the distribution of the interval between successive enhancements of the velocity increment as the measure of the spatial distribution of vortex tubes. They tend to cluster together below about the integral length and more significantly below about the Taylor microscale. These properties are independent of the Reynolds number and are hence expected to be universal.

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