Advertisement

Boundary-Layer Meteorology

, Volume 99, Issue 1, pp 151–158 | Cite as

An Alternative Function For The Wind And Temperature Gradients In Unstable Surface Layers

  • D. Keith Wilson
Article

Abstract

The function φ(ζ)=(1+γ|z/L|2/3)1/2,where z is the height, L the Obukhov length, and γ a constant,is proposed for the nondimensional wind speed and temperaturegradients (flux-profile relationships) in anunstable surface layer. This function agrees quite well withboth wind speed and temperature data,has the theoretically correct behaviour in convective conditions,and leads to simple results when integrated to produce the mean profiles.

Free convection Surface layer Wind and temperature profiles 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Brutsaert, W.: 1999, 'Aspects of Bulk Atmospheric Boundary Layer Similarity under Free-Convective Conditions', Rev. Geophys. 37, 439-451.Google Scholar
  2. Businger, J. A.,Wyngaard, J. C.,Izumi, Y., and Bradley, E. F.: 1971, 'Flux-Profile Relationships in the Atmospheric Surface Layer', J. Atmos. Sci. 28, 181-189.Google Scholar
  3. Carl, D. M.,Tarbell, T. C., and Panofsky, H. A.: 1973, 'Profiles of Wind and Temperature from Towers over Homogeneous terrain', J. Atmos. Sci. 30, 181-189.Google Scholar
  4. Delage, Y. and Girard, C.: 1992, 'Stability Functions Correct at the Free Convection Limit and Consistent for Both the Surface and Ekman Layers', Boundary-Layer Meteorol. 58, 19-31.Google Scholar
  5. Dyer, A. J. and Hicks, B. B.: 1970, 'Flux-Gradient Relationships in the Constant Flux Layer', Quart. J. Roy. Meteorol. Soc. 96, 715-721.Google Scholar
  6. Fairall, C. W.,Bradley, E. F.,Rogers, D. P.,Edson, J. B., and Young, G. S.: 1996, 'Bulk Parameterization of Air-Sea Fluxes in TOGA COARE', J. Geophys. Res. 101, 3747-3764.Google Scholar
  7. Garratt, J. R.: 1992, The Atmospheric Boundary Layer, Cambridge University Press, Cambridge, 316 pp.Google Scholar
  8. Grachev, A. A.,Fairall, C. W., and Larsen, S. E.: 1998, 'On the Determination of the Neutral Drag Coefficient in the Convective Boundary Layer', Boundary-Layer Meteorol. 86, 257-278.Google Scholar
  9. Högström, U.: 1988, 'Non-Dimensional Wind and Temperature Profiles in the Atmospheric Surface Layer', Boundary-Layer Meteorol. 42, 263-270.Google Scholar
  10. Högström, U.: 1996, 'Review of Some Basic Characteristics of the Atmospheric Surface Layer', Boundary-Layer Meteorol. 78, 215-246.Google Scholar
  11. Kader, B. A. and Yaglom, A. M.: 1990, 'Mean Fields and FluctuationMoments in Unstably Stratified Turbulent Boundary Layers', J. Fluid Mech. 212, 637-662.Google Scholar
  12. Korrell, A.,Panofsky, H. A., and Rossi, R. J.: 1982, 'Wind Profiles at the Boulder Tower', Boundary-Layer Meteorol. 22, 295-312.Google Scholar
  13. Panofsky, H. A. and Dutton, J. A.: 1984, Atmospheric Turbulence: Models and Methods for Engineering Applications, Wiley & Sons, New York, 397 pp.Google Scholar
  14. Panofsky, H. A.,Tennekes, H.,Lenschow, D. H., and Wyngaard, J. C.: 1974, 'The Characteristics of Turbulent Velocity Components in the Surface Layer under Convective Conditions', Boundary-Layer Meteorol. 11, 355-361.Google Scholar
  15. Paulson, C. A.: 1970, 'The Mathematical Representation ofWind Speed and Temperature Profiles in the Unstable Atmospheric Surface Layer', J. Appl. Meteorol. 9, 857-861.Google Scholar
  16. Sugita, M.,Hiyama, T.,Endo, N., and Tian, S.: 1995, 'Flux Determination over a Smooth Surface under Strongly Unstable Conditions', Boundary-Layer Meteorol. 73, 145-158.Google Scholar

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • D. Keith Wilson
    • 1
  1. 1.U.S. Army Research Laboratory, ATTN: AMSRL-CI-EPAdelphiUSA

Personalised recommendations