期刊
INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW
卷 102, 期 -, 页码 -出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ijheatfluidflow.2023.109162
关键词
Attached eddy hypothesis; Log law for high-order passive scalars; Random sweeping decorrelation hypothesis
A generalized logarithmic law for high-order moments of homogeneous passive scalars is proposed for turbulent boundary layers. The theory predicts logarithmic variations of high-order moments within the inertial sublayer, and it is evaluated using high frequency time-series measurements of temperature and streamwise velocity fluctuations. The proposed theory appears to be as, if not more, valid for transported passive scalars than for the longitudinal velocity.
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 (z), 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.
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