Skin Friction in Simple Wall - Bounded Shear Flows in Large Reynolds Number Limit

Expressions for variation of skin friction with Reynolds number in fully developed turbulent channel/pipe flows and in zero pressure gradient boundary layers are derived. The proposed in this paper asymptotic (Reδ = δ(x)U ν → ∞) theory is formulated as a convergent perturbation expansion in powers of small dimensionless parameters dδ dx → 0 and u∗ U → 0 applied directly to the Navier-Stokes equations. Here, u∗(x) and U(x) stand for friction and mean velocities, respectivel . The relations for the boundary layer thickness δ(x) and skin friction λ(x), derived from equations of motion, are in a close agreement with experimental data.