2013
DOI: 10.1063/1.4837876
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Logarithmic scaling in the longitudinal velocity variance explained by a spectral budget

Abstract: A logarithmic scaling for the streamwise turbulent intensity \documentclass[12pt]{minimal}\begin{document}$\sigma _u^2/{{u_*}^2}=B_1-A_1\break\ln \left({z}/{\delta }\right)$\end{document}σu2/u*2=B1−A1lnz/δ was reported across several high Reynolds number laboratory experiments as predicted from Townsend's attached eddy hypothesis, where u* is the friction velocity and z is the height normalized by the boundary layer thickness δ. A phenomenological explanation for the origin of this log-law in the intermediate … Show more

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Cited by 41 publications
(38 citation statements)
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“…A mast was used over the desert and the measurement height was 9 m until 23 August, after which it was changed to 15 m for the remaining period. In this zone of the atmospheric surface layer, the longitudinal and crosswise velocity variances decrease logarithmically with height and the vertical velocity variance shows independence from height (Townsend, 1976;Perry and Chong, 1982;Marusic et al, 2013;Banerjee and Katul, 2013a). High-frequency turbulent data were collected at 20 Hz and 30 min averaging periods were used for both sites.…”
Section: Research Sitementioning
confidence: 99%
“…A mast was used over the desert and the measurement height was 9 m until 23 August, after which it was changed to 15 m for the remaining period. In this zone of the atmospheric surface layer, the longitudinal and crosswise velocity variances decrease logarithmically with height and the vertical velocity variance shows independence from height (Townsend, 1976;Perry and Chong, 1982;Marusic et al, 2013;Banerjee and Katul, 2013a). High-frequency turbulent data were collected at 20 Hz and 30 min averaging periods were used for both sites.…”
Section: Research Sitementioning
confidence: 99%
“…It is worth mentioning here that the exact nature/type of the very large scale structures can not be discerned here -i.e., it cannot be pinpointed at a sea-breeze or other mesoscale events. However, a higher value of α would indicate a stronger large scale motion, the effect of which is to include more large scale low frequency motions in the turbulent spectra (Banerjee and Katul, 2013a).…”
Section: Effect Of Very Large Scale Motions (Vlsm)mentioning
confidence: 99%
“…We seek to quantify the signature of such a mesoscale system on the turbulence above the desert-forest system and 10 a novel technique is used. Banerjee and Katul (2013a) developed a theoretical framework based on spectral theory to describe the scaling law of the longitudinal velocity variance σ 2 u /u 2 * in the surface layer. This scaling law includes a bulk parameter α 13 Atmos.…”
Section: Effect Of Very Large Scale Motions (Vlsm)mentioning
confidence: 99%
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