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We apply a formalism of nonextensive statistical mechanics to experimentalwall turbulence data, for the first time to our knowledge. Wind tunnel data forvelocity differences a streamwise distance $r$ apart are compared to theprediction from theory as developed by Beck. The simplest theory, in which allfree parameters are removed, is found to reproduce statistics for thewall-normal velocity component remarkably well, even for $r$ well beyond thecorresponding integral scale, while the corresponding description of thestreamwise velocity fluctuations is reasonable at separations below theintegral scale. A least-squares 2-parameter fit is performed, and thedependence of the optimum parameter values on wall separation and $r$ isanalysed. Both parameters are found to be approximately independent ofwall-separation in the logarithmic sub-layer.

Nonextensive statistical dynamics applied to wall turbulence