KOLMOGOROV R2/3 LAW

The Kolmogoroff r2/3 law has been rederived from high wavenumber universal spectra and an additive constant has been obtained as a function of α, the empirical constant in the r2/3 law. The value of α is uncertain. However, values determined from both structure function data and spectral density data have been collected and plotted as a function of Reynolds number. Although the results may be of more general interest, the original motivation for this study was to provide a diagnostic tool for evaluating the turbulent energy dissipation rate from correlation data (much as wall shear stress is evaluated from velocity profile data using the law of the wall). The technique for this procedure is illustrated. © 1979 American Institute of Physics.