Skin friction in zeropressuregradient boundary layers
Abstract
A global approach leading to a selfconsistent solution to the NavierStokesPrandtl equations for zeropressuregradient boundary layers is presented. It is shown that as Re_{δ}→∞ , the dynamically defined boundary layer thickness δ(x)∝x/ln^{2}Re_{x} and the skin friction λ=(2τ_{w})/(ρU_{0}^{2})∝1/ln^{2}δ(x) . Here τ_{w} and U_{0} 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 x→∞ .
 Publication:

Physical Review E
 Pub Date:
 October 2010
 DOI:
 10.1103/PhysRevE.82.045301
 arXiv:
 arXiv:1008.0343
 Bibcode:
 2010PhRvE..82d5301Y
 Keywords:

 47.27.N;
 Wallbounded shear flow turbulence;
 Physics  Fluid Dynamics
 EPrint:
 doi:10.1103/PhysRevE.82.045301