Boundary-Layer Meteorology

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

A barotropic planetary boundary layer

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

Abstract

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.

Keywords

Planetary Boundary Layer Friction Velocity Wind Profile Exchange Coefficient Geostrophic Wind 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Arya, S. P. S.: 1974, ‘Geostrophic Drag and Heat Transfer Relation for the Atmospheric Boundary Layer’,Quart. J. Roy. Meteorol. Soc. 101, 147–161.CrossRefGoogle Scholar
  2. Arya, S. P. S. and Sundarajan, A.: 1976, ‘An Assessment of Proposed Similarity Theories for the Atmospheric Boundary Layer’,Boundary-Layer Meteorol. 10, 149–166.CrossRefGoogle Scholar
  3. Deardorff, J. W.: 1974, ‘Three-Dimensional Numerical Study of the Height and Mean Structure of the Heated Planetary Boundary Layer’,Boundary-Layer Meteorol. 7, 81–106.Google Scholar
  4. Kostadinov, L. and Djolov, G.: 1977, ‘The Universal Functions in the Resistance Laws for Ekman Boundary Layer’,Izv. Atm. Ocean Phys. 13, 984–988.Google Scholar
  5. Musson-Genon, L. and du Vachat, R.: 1982, ‘Rossby Similarity and Turbulent Formulations’,Boundary-Layer Meteorol. 23, 47–49.CrossRefGoogle Scholar
  6. Shir, C. C. and Bornstein, R. D.: 1977, ‘Eddy Exchange Coefficients in Numerical Models of the Planetary Boundary Layer’,Boundary-Layer Meteorol. 11, 171–186.Google Scholar
  7. Smeda, Mohamed, S.: 1979, ‘Bulk Model for the Atmospheric Planetary Boundary Layer’,Boundary-Layer Meteorol. 7, 411–467.Google Scholar
  8. Wippermann, F.: 1972, ‘Universal Profiles in the Barotropic Planetary Boundary Layer’,Beitr. Phys. Atm. 45, 148–163.Google Scholar
  9. Wippermann, F.: 1973, ‘Numerical Study of the Effects Controling the Low-Level Jet’,Beitr. Phys. Atm. 46, 137–154.Google Scholar
  10. Yordanov, D.: 1975, ‘A Simple Baroclinic Model for the Planetary Boundary Layer’,Izv. Atm. Ocean Phys. 11, 630–634.Google Scholar
  11. Yordanov, D.: 1976, ‘On the Universal Function in the Resistance Law for the Baroclinic Planetary Boundary Layer’,Izv. Atm. Ocean Phys. 12, 769–772.Google Scholar
  12. Yordanov, D.: 1977, ‘On the Height of Surface Air Layer’,Izv. Atm. Ocean Phys. 13, 781–783.Google Scholar
  13. Yordanov, D. L., Penenko, V. V., and Aloyan, A. E.: 1978; ‘Parametrization of Stratified Baroclinic Planetary Boundary Layer for the Numerical Modeling of Atmospheric Processes’,Izv. Atm. Ocean Phys. 14, 815–823.Google Scholar
  14. Zilitinkevich, S. S.: 1970, ‘Dynamics of Atmospheric Boundary Layer’, Leningrad, Gidrometeorological Press (in russian).Google Scholar
  15. Zilitinkevich, S. S.: 1975, ‘Resistance Laws and Prediction Equations for the Depth of the Planetary Boundary Layer’,J. Atm. Sci. 32, 741–752.Google Scholar

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

Personalised recommendations