Nonextensive statistical dynamics applied to wall turbulence
arXiv:1402.2150
Abstract
We apply a formalism of nonextensive statistical mechanics to experimental wall turbulence data, for the first time to our knowledge. Wind tunnel data for velocity differences a streamwise distance apart are compared to the prediction from theory as developed by Beck. The simplest theory, in which all free parameters are removed, is found to reproduce statistics for the wall-normal velocity component remarkably well, even for well beyond the corresponding integral scale, while the corresponding description of the streamwise velocity fluctuations is reasonable at separations below the integral scale. A least-squares 2-parameter fit is performed, and the dependence of the optimum parameter values on wall separation and is analysed. Both parameters are found to be approximately independent of wall-separation in the logarithmic sub-layer.
10 pages, 5 figures; contribution to Festschrift dedicated to Prof. Johan S. Høye