The Influences of Thermodynamic Characteristics on Aerodynamic Roughness Length over Land Surface

It has previously been shown that aerodynamic roughness length changes significantly along with nearsurface atmospheric thermodynamic state; however, at present, this phenomenon remains poorly understood, and very little research concerning this topic has been conducted. In this paper, by using the data of different underlying surfaces provided by the Experimental Co-observation and Integral Research in Semi-arid and Arid Regions over North China, aerodynamic roughness length (z ₀) values in stable, neutral, and unstable atmospheric stratifications are compared with one another, and the relationship between z ₀ and atmospheric thermodynamic stability (ζ) is analyzed. It is found that z ₀ shows great differences among the stable, neutral, and unstable atmospheric thermodynamic states, with the difference in z ₀ values between the fully thermodynamic stable condition and the neutral condition reaching 60% of the mean z ₀. Furthermore, for the wind speed range in which the wind data are less sensitive to z ₀, the surface z ₀ changes more significantly with ζ, and is highly correlated with both the Monin-Obukhov stability (ζ ₀) and the overall Richardson number (R _ib), with both of their correlation coefficients greater than 0.71 and 0.47 in the stable and unstable atmospheric stratification, respectively. The empirical relation fitted with the experimental observations is quite consistent with the Zilitinkevich theoretical relation in the stable atmosphere, but the two are quite distinct and even show opposite variation tendencies in the unstable atmosphere. In application, however, verification of the empirical fitted relations by using the experimental data finds that the fitted relation is slightly more applicable than the Zilitinkevich theoretical relation in stable atmospheric stratification, but it is much more suitable than the Zilitinkevich relation in unstable atmospheric stratification.