  A stability wind shear term of logarithmic wind profile based on the terms of
turbulent kinetic energy equation is proposed. The fraction influenced by
thermal stratification is considered in the shear production term. This
thermally affected shear is compared with buoyant term resulting in a stability
wind shear term. It is also considered Reynolds stress as a sum of two
components associated with wind shear from mechanical and thermal
stratification process. The stability wind shear is responsible to Reynolds
stress of thermal stratification term, and also to Reynolds stress of
mechanical term at no neutral condition. The wind profile and its derivative
are validated with data from Pedra do Sal experiment in a flat terrain and 300m
from shoreline located in northeast coast of Brazil. It is close to the Equator
line, so the meteorological condition are strongly influenced by trade winds
and sea breeze. The site has one 100m tower with five instrumented levels, one
3D sonic anemometer, and a medium-range wind lidar profiler up 500m. The
dataset are processed and filter from September to November of 2013 which
results in about 550 hours of data available. The results show the derivative
of wind profile with R^2 of 0.87 and RMSE of 0.08 m/s. The calculated wind
profile performances well up to 400m at unstable condition and up to 280m at
stable condition with R^2 better than 0.89. The proposed equation is valid for
this specific site and is limited to a stead state condition with constant
turbulent fluxes in the surface layer.
