Torque Fluctuations In The Framework Of A Multifractal 23/9-Dimensional Turbulence Model

We have carried out in-depth analyses of boundary-layer wind velocity data within a universal multifractal (UM) framework. Within the UM framework the statistics of a given field are characterised with the help of the three parameters α, C₁ and H. With these three parameters one fully describes the wind velocity fields up to and including the order q_D after which the divergence of statistical moments intervenes. Studies at different sites have shown that the parameter α – the multifractality index – of the horizontal and vertical shears of the horizontal wind remains fairly constant at approximately 1.7. In this study we show how the two remaining parameters C₁ and H vary for two very different sites/datasets and discuss what the consequences of this variability are for the fluctuations of the torque.