Boundary-Layer Meteorology

, Volume 25, Issue 4, pp 363–373 | Cite as

A barotropic planetary boundary layer

  • D. Yordanov
  • D. Syrakov
  • G. Djolov


The temperature and wind profiles in the planetary boundary layer (PBL) are investigated. Assuming stationary and homogeneous conditions, the turbulent state in the PBL is uniquely determined by the external Rossby number and the stratification parameters. In this study, a simple two-layer barotropic model is proposed. It consists of a surface (SL) and overlying Ekman-type layer. The system of dynamic and heat transfer equations is closed usingK theory. In the SL, the turbulent exchange coefficient is consistent with the results of similarity theory while in the Ekman layer, it is constant. Analytical solutions for the wind and temperature profiles in the PBL are obtained. The SL and thermal PBL heights are properly chosen functions of the stratification so that from the solutions for wind and temperature, the PBL resistance laws can be easily deduced. The internal PBL characteristics necessary for the calculation (friction velocity, angle between surface and geostrophic winds and internal stratification parameter) are presented in terms of the external parameters. Favorable agreement with experimental data and model results is demonstrated. The simplicity of the model allows it to be incorporated in large-scale weather prediction models as well as in the solution of various other meteorological problems.


Planetary Boundary Layer Friction Velocity Wind Profile Exchange Coefficient Geostrophic Wind 


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Copyright information

© D. Reidel Publishing Co. 1983

Authors and Affiliations

  • D. Yordanov
    • 1
  • D. Syrakov
    • 2
  • G. Djolov
    • 3
  1. 1.Geophysical Institute, Bulgarian Academy of SciencesSofiaBulgaria
  2. 2.Faculty of PhysicsUniversity of SofiaSofiaBulgaria
  3. 3.Institute for Hydrology and Meteorology, Bulgarian Academy of SciencesSofiaBulgaria

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