Intermittency and structure functions in channel flow turbulence

Abstract

We present a study of intermittency in a turbulent channel flow. Scaling exponents of longitudinal streamwise structure functions, $ζ_p /ζ_3$, are used as quantitative indicators of intermittency. We find that, near the center of the channel the values of $ζ_p /ζ_3$ up to $p=7$ are consistent with the assumption of homogeneous/isotropic turbulence. Moving towards the boundaries, we observe a growth of intermittency which appears to be related to an intensified presence of ordered vortical structures. In fact, the behaviour along the normal-to-wall direction of suitably normalized scaling exponents shows a remarkable correlation with the local strength of the Reynolds stress and with the \rms value of helicity density fluctuations. We argue that the clear transition in the nature of intermittency appearing in the region close to the wall, is related to a new length scale which becomes the relevant one for scaling in high shear flows.