V. S. L'vov, A. Pomyalov, A. Ferrante, S. Elghobashi, “Analytical Model of the Time Developing Turbulent Boundary Layer”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2007, Volume 86, Issue 2,Pages <nobr>111

This article is cited in 1 paper

PLASMA, GASES

Analytical Model of the Time Developing Turbulent Boundary Layer

V. S. L'vov^a, A. Pomyalov^a, A. Ferrante^b, S. Elghobashi^b

^a Department of Chemical Physics, The Weizmann Institute of Science
^b Dept of Mechanical and Aerospace Engineering, University of California, Irvine

Abstract: We present an analytical model for the time-developing turbulent boundary layer (TD-TBL) over a flat plate. The model provides explicit formulae for the temporal behavior of the wall-shear stress and both the temporal and spatial distributions of the mean streamwise velocity, the turbulence kinetic energy and Reynolds shear stress. The resulting profiles are in good agreement with the DNS results of spatially-developing turbulent boundary layers at momentum thickness Reynolds number equal to 1430 and 2900 [5 – 7]. Our analytical model is, to the best of our knowledge, the first of its kind for TD-TBL.

PACS: 42.27.-i

Received: 04.06.2007

Language: English