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ON SELF-SMILARITY OF WALL-BOUNDED FLOWS

Matthias H. Buschmann
Institut für Luft- und Kältetechnik gGmbH, Bertolt-Brecht-Allee 20, 01309 Dresden, Germany

Mohamed Gad-el-Hak
Virginia Commonwealth University, Mechanical Engineering Richmond, VA 23284-3015, USA

Abstrakt

It is still unknown if in general wall-bounded turbulence shows self-similarity in the sense that a set of scaling variables exists to collapse the profiles of, for example, all moments of the streamwise velocity component. To find self-similar solutions for the mean-velocity profile and the Reynolds shear stress, usually a scaling approach is employed where the characteristic length and velocity scales are defined a priori. Herein we undertake the challenge of non-dimensionalizing the mean-momentum equation of turbulent boundary layers without such a priori specification.