A new dimensional approach to the problem of flux‐gradient relationships near the ground

Application of the dimensional method of vector lengths to the continuity equations for momentum, heat, and any conservative scalar property whose mass concentration is S , yields a flux‐gradient relationship of the form \documentclass{article}\pagestyle{empty}\begin{document}$ \[ \frac{{K_z }} {{r_\omega S\sigma S}}\frac{{\partial \overline S }} {{\partial z}} = f_S \left\{ {\frac{{KgzH}} {{\rho c_p T\sigma _{\omega ^3 } }}} \right\} \] $\end{document} Which is identical to the Monin‐Obukhov relationship except that the governing parameter u * is replaced by σ ω and the governing parameter S * is replaced by γ ω S σ S . This formulation cannot be adequately tested with existing data due to a systematic underestimation of the rapid‐response statistics under non‐neutral conditions. This underestimation is the result of improper choice of sampling period and interval between successive measurements. While a satisfactory correction may be applied to the stress, permitting examination of the Monin‐Obukhov formulation, no such correction procedure is possible with respect to γ ω S σ S and σ ω .