Boundary-Layer Meteorology

, Volume 170, Issue 2, pp 349–355 | Cite as

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

  • Emil SimiuEmail author
  • Florian A. Potra
  • Tarak N. Nandi
Notes and Comments


We briefly assess approaches used to date for the estimation of the longitudinal integral turbulence scale \(L_u^x\) 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 \(L_u^x\) is proportional to the height z above the surface. The factor of proportionality depends upon two non-dimensional parameters: the measured lowest Monin frequency \(f_s\) for which the non-dimensional spectrum conforms to Kolmogorovs two-thirds law, and the ratio \(\beta = \overline{u^2}/{u_{*}^2}\), where \(\overline{u^2}\) and \(u_{*}\) denote the mean square value of the longitudinal velocity fluctuations and the friction velocity, respectively.


Atmospheric surface layer Integral length scale Monin frequency Neutral stratification Turbulence spectra. 


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© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Materials and Structural Systems DivisionNational Institute of Standards and TechnologyGaithersburgUSA
  2. 2.Mathematical Analysis and Modeling GroupNational Institute of Standards and TechnologyGaithersburgUSA

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