title: Small viscosity asymptotics for the inertial range of local structure and for the wall region of wall-bounded turbulent shear flow.
abstract: The small viscosity asymptotics of the inertial range of local structure and of the wall region in wallbounded turbulent shear flow are compared. The comparison leads to a sharpening of the dichotomy between Reynolds number dependent scaling (power-type) laws and the universal Reynolds number independent logarithmic law in wall turbulence. It further leads to a quantitative prediction of an essential difference between them, which is confirmed by the results of a recent experimental investigation. These results lend support to recent work on the zero viscosity limit of the inertial range in turbulence.
authors.affiliation: Miller Institute for Basic Research, University of California, Berkeley, CA 94708, USA.
authors.forename: G I
authors.initials: GI
authors.lastname: Barenblatt
authors.forename: A J
authors.initials: AJ
authors.lastname: Chorin