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For research of the dynamic and thermal characteristics of the wall boundary layers the different variants of classical and modified one- and two-parametric turbulence models allowing by continuous manner to computer a full stream domain with laminar, transitional and turbulent flow regimes at high free stream turbulence intensity are analyzed. The two common research ways for the better description of existing experimental and theoretical data for the transitional structure of a boundary layer at a variation from low to high local turbulent Reynolds numbers have been proposed. An effect of the scale of free stream turbulence on the dynamic and turbulence characteristics of a transition have been studies numerically in details. The predicted results on the basis of k-l and k-ε models under flow of a flat plate at high turbulence intensity have been compared with the test experimental data on velocity and turbulence intensity profiles.