Evidence of the k1-1 law in a high-Reynolds-number turbulent boundary layer

Abstract

Dimensional analysis and overlap arguments lead to a prediction of a region in the streamwise velocityspectrum of wall-bounded turbulent flows in which the dependence on the streamwise wave number, k1, isgiven by k 1-1 . Some recent experiments have questioned the existence of this region. In this Letter,experimental spectra are presented which support the existence of the k 1-1 law in a high-Reynolds-numberboundary layer. This Letter presents the experimental results and discusses the theoretical and experimentalissues involved in examining the existence of the k 1-1 law and the reasons why it has proved so elusive.