Nicholas School of the Environment, Box 80328, Duke University, Durham, North Carolina 27708, USA.
Phys Rev Lett. 2011 Dec 23;107(26):268502. doi: 10.1103/PhysRevLett.107.268502. Epub 2011 Dec 22.
A stability correction function φ(m)(ζ) that accounts for distortions to the logarithmic mean velocity profile (MVP) in the lower atmosphere caused by thermal stratification was proposed by Monin and Obukhov in the 1950s using dimensional analysis. Its universal character was established from many field experiments. However, theories that describe the canonical shape of φ(m)(ζ) are still lacking. A previous link between the spectrum of turbulence and the MVP is expanded here to include the effects of thermal stratification on the turbulent kinetic energy dissipation rate and eddy-size anisotropy. The resulting theory provides a novel explanation for the power-law exponents and coefficients already reported for φ(m)(ζ) from numerous field experiments.
一个稳定性修正函数(\varphi(m)(\zeta))，用于解释由于热分层而导致的大气下层对数平均速度剖面（MVP）的扭曲，它是由 Monin 和 Obukhov 在 20 世纪 50 年代使用量纲分析提出的。它的普遍特征是从许多现场实验中建立起来的。然而，描述(\varphi(m)(\zeta))的典型形状的理论仍然缺乏。这里扩展了先前关于湍流谱与 MVP 之间的联系，以包括热分层对湍流动能耗散率和涡旋大小各向异性的影响。由此产生的理论为从众多现场实验中已经报道的(\varphi(m)(\zeta))的幂律指数和系数提供了一个新的解释。
