Universal Wind Profile for Conventionally Neutral Atmospheric Boundary Layers

Conventionally neutral atmospheric boundary layers (CNBLs), which are characterized with zero surface potential temperature flux and capped by an inversion of temperature, frequently encountered in nature. Therefore, predicting the wind speed profiles CNBLs is relevant for weather forecasting, climate modeling, energy applications. However, previous attempts to predict velocity have had limited success due complicated interplay between buoyancy, shear, Coriolis effects. Here, we utilize ideas from classical Monin-Obukhov similarity theory combination a local scaling hypothesis derive analytic expression stability correction function $\ensuremath{\psi}=\ensuremath{-}{c}_{\ensuremath{\psi}}(z/L{)}^{1/2}$, where ${c}_{\ensuremath{\psi}}=4.2$ empirical constant, $z$ height above ground, $L$ Obukhov length based on at that height, CNBLs. An this also derived using dimensional analysis perturbation method approach. We find profile agrees excellently entire layer obtained high-fidelity large eddy simulations typical