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Third Symposium on Turbulence and Shear Flow Phenomena
June, 25-27, 2003, International Center, Sendai, Japan

DOI: 10.1615/TSFP3

INVARIANT ASSUMPTION OF PDF AND MEAN VELOCITY PROFILE IN HIGH-REYNOLDS NUMBER TURBULENT BOUNDARY LAYERS

pages 135-138
DOI: 10.1615/TSFP3.230
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要約

The probability density function (pdf) of a streamwise velocity component is studied in zero-pressure gradient boundary layers. From analyzing the data up to Rθ ≈ 13000, it was found that pdfs have self-similar profiles ranging from y+ ≈ 180 to 0.049 · Δ+, where Δ is Rotta-Clauser boundary layer thickness. Pdf profiles asymptote to the universal shape very close to the Gaussian, but are positively skewed at the core region, indicating smaller values in the tail parts. Based on this experimental fact, the mean velocity profile is reconsidered from the standpoint of pdf equation. The loglaw profile is expected as the mean velocity distribution.

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