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Properties of spatial temperature derivatives in the atmospheric surface layer
Authors:R A Antonia  A J Chambers  D Phong-Anant  S Rajagopalan
Institution:(1) Department of Mechanical Engineering, University of Newcastle, 2308 New South Wales, Australia
Abstract:A pair of parallel cold wires separated in either the vertical or lateral direction was used to obtain the three components thetax, thetay, thetaz of the temperature derivative in the streamwise, lateral and vertical directions, respectively. The average absolute skewness values of thetax and thetaz are nonzero and approximately equal, while the skewness of thetay is approximately zero. These results appear to be consistent with the presence of a large, three-dimensional organised structure in the surface layer. There is an apparent low-frequency contamination in the spectral density of thetay and thetaz due mainly to small errors in estimating the sensitivity of the cold wires. The temperature derivatives were high-pass filtered, the filter being set to remove possible contributions from the large structure and to minimise low-frequency sensitivity contamination. The filtered rms ratios \~thetax/\~thetay and \~thetax/\~thetaz were in the range 0.7 to 0.9, a result in qualitative agreement with that obtained in the laboratory boundary layer by Sreenivasan et al. (1977). The skewness of filtered thetax or thetaz is negligible, consistent with local isotropy of small-scale temperature fluctuations and in support of the high wavenumber spectral isotropy discussed in Antonia and Chambers (1978).
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