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Monin-Obukhov LengthThe Monin-Obukhov Length is the height above ground, where mechanically produced (by vertical shear) turbulence is in balance with the dissipative effect of negative buoyancy, thus where Richardson number equals to 1: Additional recommended knowledge
where u * is the frictional velocity, is the mean potential virtual temperature, is the perturbation scalar velocity' and θ * is a potential temperature scale (k). This can be further reduced using the similarity theory approximation:
to give:
The parameter θ * is proportional to the vertical difference in potential virtual temperature. The greater at Z0,h in comparison with its value at Zr , the more negative the change in with increasing height, and the greater the instability in the of the surface layer. In such cases, L is negative with a small magnitude, since it is inversely proportional to u * . When L is negative with a small magnitude, is negative with a large magnitude. Such values of correspond to large instability due to buoyancy. Positive values of correspond to increasing with altitude and stable stratification. |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Monin-Obukhov_Length". A list of authors is available in Wikipedia. |