Barenblatt, G. I.; Chorin, Alexandre J. Small viscosity asymptotics for the inertial range of local structure and for the wall region of wall-bounded turbulent shear flow. (English) Zbl 0856.76026 Proc. Natl. Acad. Sci. USA 93, No. 13, 6749-6752 (1996). Summary: The small viscosity asymptotics of the inertial range of local structure and of the wall region in wall-bounded 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. Cited in 12 Documents MSC: 76F10 Shear flows and turbulence Keywords:Reynolds number dependent scaling laws; Reynolds number independent logarithmic law PDFBibTeX XMLCite \textit{G. I. Barenblatt} and \textit{A. J. Chorin}, Proc. Natl. Acad. Sci. USA 93, No. 13, 6749--6752 (1996; Zbl 0856.76026) Full Text: DOI