Wind and Temperature Profiles for Constant-flux Boundary Layers in Lapse Conditions with a Variable Eddy Conductivity to Eddy Viscosity Ratio

Abstract

Abstract A set of wind and temperature profile formulas are derived for the constant-flux atmospheric boundary layer in lapse stratification. These formulas imply a relationship between the eddy transfer coefficient ratio, KH/KM, and the stability parameter, s/L, as well as relationships between various empirical constants appearing in previously suggested profile forms. The derivation follows from the hypothesis that the gradient Richardson number, Ri, is equal to the Monin-Obukhov number, z/L. Empirical evidence is presented which supports the hypothesis when observational uncertainties in measured vertical wind and temperature differences are taken into account. The relationships between the empirical constants are consistent with previously reported values of these constants. The newly-derived free-convection wind profile agrees well with observed profiles reported by Swinbank (1964). The derived free-convection wind profile is found to be noticeably, if slightly, more consistent with observed wind pr...