Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2007-06-04
Nonlinear Sciences
Chaotic Dynamics
5pages, 9 figs, JETP Letters, submitted
Scientific paper
10.1134/S002136400714007X
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. Our analytical model is, to the best of our knowledge, the first of its kind for TD-TBL.
Elghobashi Said
Ferrante Antonino
L'vov Victor S.
Pomyalov Anna
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