Journal of the Meteorological Society of Japan. Ser. II
Online ISSN : 2186-9057
Print ISSN : 0026-1165
ISSN-L : 0026-1165
On the Nondimensional Rate of Dissipation of Turbulent Energy in the Surface Boundary Layers
K. Takeuchi
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1962 Volume 40 Issue 3 Pages 127-135

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Abstract
The rate of dissipation of turbulent energy ε is studied in the nondimensional form e≡ (kz⁄V*3)ε because of its close relationship to the thermal stability in the surface boundary layer. e is evaluated from the structure function and spectral energy density obtained with respect to the wind speed, and theoretical value of e is further compared with observations. e is described by the nondimensional stability parameter ξ and the universal function of wind profile φ(ξ). The results show: (1) Monin-Obukhov's similarity theory is still valid in the inertial subrange. (2) As to the form of the universal function of the wind profile, observations by Rider and Swinbank and those by Gurvich show the different characteristics that exist in the stable conditions. In the appendix the constants of structure functions are re-evaluated from the data by Swinbank and Taylor.
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