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In the middle of the convective atmospheric boundary layer is often a deep layer of vertically uniform wind speed (MUL), wind direction, and potential temperature (θUL). A radix layer is identified as the whole region below this uniform layer, which includes the classic surface layer as a shallower subdomain. An empirical wind speed (M) equation with an apparently universal shape exponent (A) is shown to cause observations from the 1973 Minnesota field experiment to collapse into a single similarity profile, with a correlation coefficient of roughly 0.99. This relationship is M/MUL = F(z/zR), where F is the profile function, z is height above ground, and zR is depth of the radix layer. The profile function is F = (z/zR)A exp[A(1 − z/zR)] in the radix layer (z/zR ⩽ 1), and F = 1 in the uniform layer (zR < z < 0.7zi). The radix-layer equations might be of value for calculation of wind power generation, wind loading on buildings and bridges, and air pollutant transport. The same similarity function ...

Wind and Temperature Profiles in the Radix Layer: The Bottom Fifth of the Convective Boundary Layer