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Boundary-Layer Meteorology

, Volume 3, Issue 3, pp 348–358 | Cite as

The observed relation between the Kolmogorov and von Karman constants in the surface boundary layer

  • Paul Frenzen
Article

Abstract

In steady, neutrally-stratified flow over uniform terrain, the Kolmogorov constant for the one-dimensional spectrum in the inertial subrange (α1) and the von Karman constant of the logarithmic profile (k) are shown to be related by
$$\alpha _1 k^{{4 \mathord{\left/ {\vphantom {4 3}} \right. \kern-\nulldelimiterspace} 3}} = \left[ {\frac{{\sum \phi }}{{0.555}}} \right]\left[ {\frac{{nz}}{{\bar U_z }}} \right]^{{2 \mathord{\left/ {\vphantom {2 3}} \right. \kern-\nulldelimiterspace} 3}} \left[ {\frac{{\ln z_2 /z_1 }}{{\bar U_2 - \bar U_1 }}} \right]^2 \simeq 0.136,$$
, where the numerical value results from field measurements recorded in near-ideal conditions. This experimentally-observed Kolmogorov-von Karman ‘K-von K’ product is close to the value designated by a one-dimensional equivalent of the theoretical relation previously given by Roth (1970). More-over, it is in remarkably close agreement with new values of both constants independently proposed in recent years.

Keywords

Boundary Layer Field Measurement Close Agreement Surface Boundary Theoretical Relation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© D. Reidel Publishing Company 1973

Authors and Affiliations

  • Paul Frenzen
    • 1
  1. 1.Atmospheric Physics Section, Radiological and Environmental Research DivisionArgonne National LaboratoryArgonneUSA

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