Intermediate scaling and logarithmic invariance in turbulent pipe flow

Authors:
Publisher website
Google Scholar
Abstract
A three-layer asymptotic structure for turbulent pipe flow is proposed revealing, in terms of intermediate variables, the existence of a Reynolds-number-invariant logarithmic region for the streamwise mean velocity and variance. The formulation proposes a local velocity scale (which is not the friction velocity) for the intermediate layer and results in two overlap layers. We find that the near-wall overlap layer is governed by a power law for the pipe for all Reynolds numbers, whereas the log law emerges in the second overlap layer (the inertial sublayer) for sufficiently high Reynolds numbers () and therefore the approach to an asymptotically invariant state can be expected to be slow.

This publication has 20 references indexed in Scilit: