Determining Longitudinal Integral Turbulence Scales in the Near-Neutral Atmospheric Surface Layer

We briefly assess approaches used to date for the estimation of the longitudinal integral turbulence scale $$L_u^x$$Lux in the near-neutral atmospheric surface layer, and propose an approach based on recent theory and measurements. A closed-form expression is derived according to which $$L_u^x$$Lux is proportional to the height z above the surface. The factor of proportionality depends upon two non-dimensional parameters: the measured lowest Monin frequency $$f_s$$fs for which the non-dimensional spectrum conforms to Kolmogorovs two-thirds law, and the ratio $$\beta = \overline{u^2}/{u_{*}^2}$$β=u2¯/u∗2, where $$\overline{u^2}$$u2¯ and $$u_{*}$$u∗ denote the mean square value of the longitudinal velocity fluctuations and the friction velocity, respectively.

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