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Similarity theory and resistance laws for the planetary boundary layer

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Abstract

Methods are developed for the determination of parameters of the atmospheric planetary boundary layer, within the framework of similarity theory based on the external parameters — wind velocity at the upper boundary of the layer, its thickness, air temperature difference between the upper and the lower boundaries, roughness of the underlying surface, and buoyancy forces. The form of the resistance laws is discussed. Determination of the thickness of the stationary and horizontally homogeneous (Ekman) boundary layer is analyzed and generalizations of the latter are suggested for non-stationary and inhomogeneous boundary layers.

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Rerences

  • Businger, J. A. and Arya, S. P. S.: 1973, ‘The Height of the Mixed Layer in the Stably Stratified Planetary Boundary Layer]rs, Dept. Atmospheric Sci., Univ. Washington.

  • Businger, J. A., Wyngaard, J. C., Izumi, J., and Bradley, E. F.: 1971, Flux-Profile Relationships in the Atmospheric Surface Layer, J. Atmospheric Sci. 28, 181–189.

    Google Scholar 

  • Clarke, R. H.: 1970, Observational Studies in the Atmospheric Boundary Layer, Quart. J. Roy. Meteorol. Soc. 96, 91–114.

    Google Scholar 

  • Deardorff, J. W.: 1972, Parameterization of the Planetary Boundary Layer for Use in General Circulation Models, Monthly Weather Rev. 100, 93–106.

    Google Scholar 

  • Deardorff, J. W.: 1974, Three-Dimensional Numerical Study of the Height and mean Structure of a Heated Planetary Boundary Layer, Boundary-Layer Meteorol. 7, 81–106.

    Google Scholar 

  • Kazanski, A. B. and Monin, A. S.: 1960, A Turbulent Regime Above the Atmospheric Surface Layer, Izv. Acad. Sci. U.S.S.R., Geophys. Ser., No. 1, 165–168.

  • Monin, A. S. and Obukhov, A. M.: 1954, Basic Laws of Turbulent Mixing in the Atmospheric Surface Layer, Trudy Geofiz. Inst., Acad. Sci. U.S.S.R., No. 24(151), 163–187.

  • Monin, A. S. and Yaglom, A. M.: 1971, Statistical Fluid Mechanics, The MIT Press, 769 pp.

  • Wippermann, F., Etling, D., and Leykauf, H.: 1973, The Effect of Non-Stationarity on the Planetary Boundary Layer, Beitr. Phys. Atmospher. 46, 34–56.

    Google Scholar 

  • Zilitinkevich, S. S.: 1970, Dynamics of the Atmospheric Boundary Layer, Hydrometeorological Publishing House, Leningrad, 291 pp.

    Google Scholar 

  • Zilitinkevich, S. S.: 1972, On the Determination of the Height of the Ekman Boundary Layer, Boundary-Layer Meteorol. 3, 141–145.

    Google Scholar 

  • Zilitinkevich, S. S.: 1973, Shear convection. Boundary-Layer Meteorol. 3, 416–423.

    Google Scholar 

  • Zilitinkevich, S. S. and Chalikov, D. V.: 1968, The Laws of Resistance and of Heat and Moisture Exchange in the Interaction Between the Atmosphere and the Underlying Surface, Izv. Acad. Sci. U.S.S.R., Atmospheric and Oceanic Phys. 4, No. 7, 765–772.

    Google Scholar 

  • Zilitinkevich, S. S. and Deardorff, J. W.: 1974, Similarity Theory for the Planetary Boundary Layer of Time Dependent Height, J. Atmospheric Sci. 31, 1449–1452.

    Google Scholar 

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Monin, A.S., Zilitinkevich, S.S. Similarity theory and resistance laws for the planetary boundary layer. Boundary-Layer Meteorol 7, 391–397 (1974). https://doi.org/10.1007/BF00240840

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