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The use of σ T as a temperature scale in the atmospheric surface layer

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Abstract

The standard deviation of temperatureσ T is proposed as a temperature scale and\(v_ * \equiv \overline {w\prime T\prime } /\sigma _T \) as a velocity scale to describe the behaviour of turbulent flows in the Atmospheric Surface Layer (ASL), instead ofθ * andu * of the Monin—Obukhov similarity theory, and ofT f andU f used for free convection stability conditions. On the basis of experimental evidence reported in the literature, it is shown thatσ T αT f andv * αU f in the free convection region, andσ T αθ * andv * αU * in nearneutral and stable conditions. This implies that the proposed scales can be applied for all stabilities. Furthermore, a new length scale is proposed and its relation with Obukhov length is given. Also, a simple semi-empirical expression is presented with whichσ T andv * can be evaluated in a rather simple way. Some examples of practical applications are given, e.g., a stability classification for unstable conditions.

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De Bruin, H.A.R., Bink, N.J. The use of σ T as a temperature scale in the atmospheric surface layer. Boundary-Layer Meteorol 70, 79–93 (1994). https://doi.org/10.1007/BF00712524

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