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


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.


Boundary Layer Field Measurement Close Agreement Surface Boundary Theoretical Relation 
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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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