A universal integral scaling of the mean velocity profiles in turbulent wall-bounded flows

Scaling of the mean velocity profiles has been studied by many researchers, since it provides a template of universal dynamical patterns across a range of Reynolds numbers. Various normalization schemes have been shown in the past, some with a good degree of success. An alternative, universal scaling is presented, where an integrated velocity serves as a universal template for incompressible, adverse pressure-gradient and compressible flows.