High–Reynolds Number Wall Turbulence
We review wall-bounded turbulent flows, particularly high–Reynolds number, zero–pressure gradient boundary layers, and fully developed pipe and channel flows. It is apparent that the approach to an asymptotically high–Reynolds number state is slow, but at a sufficiently high Reynolds number the log law remains a fundamental part of the mean flow description. With regard to the coherent motions, very-large-scale motions or superstructures exist at all Reynolds numbers, but they become increasingly important with Reynolds number in terms of their energy content and their interaction with the smaller scales near the wall. There is accumulating evidence that certain features are flow specific, such as the constants in the log law and the behavior of the very large scales and their interaction with the large scales (consisting of vortex packets). Moreover, the refined attached-eddy hypothesis continues to provide an important theoretical framework for the structure of wall-bounded turbulent flows.
© 2010 Annual Reviews. First published online as a Review in Advance on September 14, 2010. This work was made possible by support received through NSF grant CTS-0625268, program manager William Schultz, and ONR grant N00014-09-1-0263, program manager Ronald Joslin (A.J.S.); AFOSR grant FA9550-09-1-0701, program manager John Schmisseur (B.J.M.); and the Australian Research Council (I.M.).