Physics
Scientific paper
May 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977bolme..11..363l&link_type=abstract
Boundary-Layer Meteorology, Volume 11, Issue 3, pp.363-373
Physics
3
Scientific paper
A theory is offered for the drag and heat transfer relations in the statistically steady, horizontally homogeneous, diabatic, barotropic planetary boundary layer. The boundary layer is divided into three regions R 1, R 2, and R 3, in which the heights are of the order of magnitude of z 0, L, and h, respectively, where z 0 is the roughness length for either momentum or temperature, L is the Obukhov length, and h is the height of the planetary boundary layer. A matching procedure is used in the overlap zones of regions R 1 and R 2 and of regions R 2 and R 3, assuming that z 0 ≪ L ≪ h. The analysis yields the three similarity functions A(μ), B(μ), and C(μ) of the stability parameter, μ = ϰ u */ fL, where ϰ is von Kármán's constant, u * is the friction velocity at the ground and f is the Coriolis parameter. The results are in agreement with those previously found by Zilitinkevich (1975) for the unstable case, and differ from his results only by the addition of a universal constant for the stable case. Some recent data from atmospheric measurements lend support to the theory and permit the approximate evaluation of universal constants.
Guffey Larry J.
Long Robert R.
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