Physical review. E, Statistical, nonlinear, and soft matter physics

A global approach leading to a self-consistent solution to the Navier-Stokes-Prandtl equations for zero-pressure-gradient boundary layers is presented. It is shown that as Re(δ)→ ∞, the dynamically defined boundary layer thickness δ(x) ∝ x/ln2 Rex and the skin friction λ = 2τ(w)/ρU(0)(2) ∝ 1/ln2 δ(x). Here τ(w) and U0 are the wall shear stress and free stream velocity, respectively. The theory is formulated as an expansion in powers of a small dimensionless parameter dδ(x)/dx → 0 in the limit… Expand

The asymptotic behavior of mean velocity and integral parameters in flat plate turbulent boundary layers under zero pressure gradient are studied for Reynolds numbers approaching infinity. Using the… Expand

Experimental data on the Reynolds number dependence of the area-averaged turbulent kinetic energy K and dissipation rate ℰ are presented. It is shown that while in the interval ReD > 105 the total… Expand

Fully developed incompressible turbulent pipe flow at bulk-velocity- and pipe-diameter-based Reynolds number ReD=44000 was simulated with second-order finite-difference methods on 630 million grid… Expand

This text is the translation and revision of Schlichting's classic text in boundary layer theory. The main areas covered are laws of motion for a viscous fluid, laminar boundary layers, transition… Expand

The uncertainties in scaling laws as the authors understand them at present are discussed, and a number of new experiments that will shed light on this subject are suggested.Expand