Logarithmic scaling of higher-order temperature moments in the atmospheric surface layer
Abstract
A generalized logarithmic law for high-order moments of homogeneous passive scalars is proposed for turbulent boundary layers. This law is analogous to the generalized log law that has been proposed for high-order moments of the turbulent longitudinal velocity and is derived by combining the random sweeping decorrelation hypothesis with a spectral model informed by the attached eddy hypothesis. The proposed theory predicts that the high-order moments of passive scalar fluctuations within the inertial sublayer will vary logarithmically with wall-normal distance (), and is evaluated using high frequency time-series measurements of temperature and streamwise velocity fluctuations obtained in the first meter of the atmospheric surface layer (ASL) under near-neutral thermal stratification. The logarithmic dependence with within the inertial sublayer is observed in both the air temperature and velocity moments, with good agreement to the predictions from the proposed theory. Surprisingly, the proposed theory appears to be as, if not more, valid for transported passive scalars than for the longitudinal velocity.
Additional Information
© 2023 Elsevier. GGK acknowledges support from the U.S. National Science Foundation (NSF-AGS-2028633) and the Department of Energy (DE-SC0022072), KYH from ONR Grant No. N00014-21-1-2296 (Fatima Multidisciplinary University Research Initiative) administered by the Marine Meteorology and Space Program of the Office of Naval Research, and ADB from the U.S. National Science Foundation (NSF-CBET-2042346). Data availability: Data will be made available on request. CRediT authorship contribution statement: Kelly Y. Huang: Conceptualization, Methodology, Formal analysis, Investigation, Data processing, Writing – original draft, Writing – review & editing. Matt K. Fu: Investigation, Writing – original draft, Writing – review & editing, Visualization. Clayton P. Byers: Investigation, Writing – original draft, Writing – review & editing, Visualization. Andrew D. Bragg: Validation, Writing – review & editing. Gabriel G. Katul: Conceptualization, Methodology, Writing – review & editing. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.Additional details
- Eprint ID
- 122348
- Resolver ID
- CaltechAUTHORS:20230718-855965700.5
- AGS-2028633
- NSF
- DE-SC0022072
- Department of Energy (DOE)
- N00014-21-1-2296
- Office of Naval Research (ONR)
- CBET-2042346
- NSF
- Created
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2023-07-19Created from EPrint's datestamp field
- Updated
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2023-07-19Created from EPrint's last_modified field
- Caltech groups
- GALCIT