期刊
JOURNAL OF FLUID MECHANICS
卷 719, 期 -, 页码 -出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2013.61
关键词
turbulent flows; turbulent boundary layers
资金
- Australian Research Council
- Australian-American Fulbright Commission Senior Scholar Fellowship
- University of Melbourne Tewksbury Fellowship
High-Reynolds-number data in turbulent boundary layers are analysed to examine statistical moments of streamwise velocity fluctuations u'. Prior work has shown that the variance of u' exhibits logarithmic behaviour with distance to the surface, within an inertial sublayer. Here we extend these observations to even-order moments. We show that the 2p-order moments, raised to the power 1/p, also follow logarithmic behaviour according to <(u'(+))(2p)>(1/p) = B-p - A(p) ln(z/delta), where u'(+) is the velocity fluctuation normalized by the friction velocity, delta is an outer length scale and B-p are non-universal constants. The slopes A(p) in the logarithmic region appear quite insensitive to Reynolds number, consistent with universal behaviour for wall-bounded flows. The slopes differ from predictions that assume Gaussian statistics, and instead are consistent with sub-Gaussian behaviour.
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