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A resistance-law hypothesis for the non-stationary advective planetary boundary layer

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The theoretical developments yielding the resistance law for the planetary boundary layer are summarized, including the refinements of the ageostrophic method. This leads to the hypothesis that the resistance law for the simple non-stationary, advective boundary layer is obtained from the one for a stationary, horizontally homogeneous boundary layer, if the modulous of the geostrophic wind in the latter is replaced with a generalized frictionless wind in the former. The generalized frictionless wind includes the inertial terms.

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  1. Blackadar, A. K.: 1967, External parameters of the wind flow in the barotropic boundary layer of the atmosphere. Report of the Study Conf. on GARP, Appendix IV, 11 pp.

  2. Blackadar, A. K. and Tennekes, H.: 1968, Asymptotic Similarity in Neutral Barotropic Planetary Boundary Layers. J. Atm. Sci. 25, 1015–1020.

  3. Clarke, R. H.: 1975, Note on baroclinicity and the inverse behaviour of surface stress and wind turning in the boundary layer. Beitr. Phys. Atm. 48, 46–50.

  4. Clarke, R. H., Dyer, A. J., Brook, R. R., Reid, D. G. and Troup, A. J.: 1971, The Wangara Experiment: Boundary Layer Data, Tech. Paper No. 19, CSIRO, Div. Meteorol. Phys., Melbourne, Australia, 362 pp.

  5. Deacon, E. L.: 1973, Geostrophic Drag Coefficients. Boundary-Layer Meteorol. 5, 321–340.

  6. Hasse, L.: 1974, On the Surface to Geostrophic Wind Relationship at Sea and the Stability Dependence of the Resistance Law. Beitr. Phys. Atm. 47, 45–55.

  7. Hasse, L. and Dunckel, M.: 1974, Direct Determination of Geostrophic Drag Coefficients at Sea. Boundary-Layer Meteorol. 7, 323–329.

  8. Hess, G. D.: 1973, On Rossby-number similarity for a baroclinic planetary boundary layer. J. Atmos. Sci. 30, 1722–1723.

  9. Kasanskii, A. B. and Monin, A. S.: 1961, On the dynamic interaction between the atmosphere and the earth surface. Izv. Geophys. Ser. 5 (Engl. ed.), 514–515.

  10. Lettau, H. H.: 1950, A Re-examination of the “Leipzig Wind Profile” Considering some Relations between Wind and Turbulence in the Frictional Layer. Tellus 2, 125–129.

  11. Lettau, H. H.: 1957, Windprofil, Innere Reibung und Energieumsatz in den unteren 500 m über dem Meer. Beitr. Phys. Atm. 30, 78–96.

  12. Monin, A. S. and Zilitinkevich, S. S.: 1967, Planetary boundary layer and large-scale atmospheric dynamics. Report on the study conference on GARP, Appendix V, 37 pp.

  13. Panofsky, H. A.: 1963, Determination of stress from wind and temperature measurements. Quart. J. Roy. Meteorol. Soc. 89, 85–94.

  14. Panofsky, H. A.: 1974, The Atmospheric boundary layer below 150 meters. Ann. Rev. Fluid Mech. 6, 147–177.

  15. Prandtl, L.: 1924, Die Windverteilung über dem Erdboden, errechnet aus Gesetzen der Rohrströmung. Z. Geophys. 1, 47–55.

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

  17. Yordanov, D. and Wippermann, F.: 1972 The parameterisation of the turbulent fluxes of momentum, heat and moisture at the ground in a planetary boundary layer. Beitr. Phys. Atm. 45, 58–65.

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Contribution from the Sonderforschungsbereich “Meeresforschung Hamburg” of the Deutsche Forschungsgemeinschaft.

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Hasse, L. A resistance-law hypothesis for the non-stationary advective planetary boundary layer. Boundary-Layer Meteorol 10, 393–407 (1976). https://doi.org/10.1007/BF00225861

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  • Boundary Layer
  • Planetary Boundary Layer
  • Theoretical Development
  • Inertial Term
  • Geostrophic Wind