Boundary-Layer Meteorology

, Volume 114, Issue 3, pp 519–538 | Cite as

Flux-profile Relationships for Wind Speed and Temperature in the Stable Atmospheric Boundary Layer

  • Yinguo Chenge
  • Wilfried Brutsaert


Wind and temperature profiles in the stable boundary layer were analyzed in the context of MoninObukhov similarity. The measurements were made on a 60-m tower in Kansas during October 1999 (CASES-99). Fluxprofile relationships, obtained from these measurements in their integral forms, were established for wind speed and temperature. Use of the integral forms eliminates the uncertainty and accuracy issues resulting from gradient computations. The corresponding stability functions, which were nearly the same for momentum and virtual sensible heat, were found to exhibit different features under weakly stable conditions compared to those under strongly stable conditions. The gradient stability functions were found to be linear, namely φm = 1+ 5.8 ζ and φh = 1 + 5.4 ζ up to a limit of the MoninObukhov stability parameter ζ = 0.8; this is consistent with earlier findings. However, for stronger stabilities beyond a transition range, both functions were observed gradually to approach a constant, with a value of approximately 7. To link these two distinct regimes, a general but pliable functional form with only two parameters is proposed for the stability functions, covering the entire stability range from neutral to very stable conditions.


Fluxprofile relations Monin–Obukhov similarity theory Stability functions Stable atmospheric boundary layer 


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Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.School of Civil and Environmental EngineeringCornell UniversityIthacaU.S.A.

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