Mean Velocity Profile of a Thick Turbulent Boundary Layer along a Circular Cylinder

The mean velocity profile of a turbulent boundary layer on a cylinder in axial flow without pressure gradient may be written, over some inner range of wall distances >', in the functional form l* = F(v*y/v>y/<*) 0) where u(x,y) denotes mean velocity, v+(x) friction velocity, v kinematic viscosity, and a cylinder radius. Within the viscous sublayer, apart from terms of order (y/a),' the explicit result for a laminar cylindrical boundary layer can be shown to apply and written as (2)