Mathematical Problems in Engineering
Volume 3 (1997), Issue 3, Pages 255-265

Relaxation process modeling in a turbulent boundary layer with nonzero free stream turbulence

Eugen Dyban1 and Ella Fridman2

1Institute of Thermophysics, Ukraine Academy of Science, Kiev, Ukraine
2College of Engineering, The University of Toledo, Toledo 43606, Ohio, USA

Received 20 May 1996; Revised 22 August 1996

Copyright © 1997 Eugen Dyban and Ella Fridman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In order to analyze the relaxation effects in a turbulent boundary layer with zero and nonzero free stream turbulence, the Reynolds-averaged equations of motion and energy are solved. As the closure of the Reynolds-averaged equations, the transport equation for turbulent shear stresses is used. The proposed approach leads to calculation of the relaxation scales in the turbulent boundary layer with zero and nonzero free stream turbulence. Results for friction coefficients, velocity profiles, shear stresses, thickness of the boundary layer and so called “superlayer” in a flat-plate turbulent boundary layer are presented. The results obtained are in agreement with those available from the experimental data.