Universal velocity and Reynolds-stress profiles in a transpired turbulent boundary layer on a plate

The flow of an incompressible fluid in a turbulent boundary layer on a plate with distributed transpiration is considered. Closure conditions are obtained in the form of universal dependences of the shear stress and other components of the Reynolds tensor on the gradient of the mean streamwise velocity, which can only be found on the basis of data that are known for a flow over an impermeable plate. As a result of the asymptotic solution of the problem for high Reynolds numbers, similarity laws for the velocity profiles and turbulent stresses are established, which enable one to calculate these quantities using data which are known for an impermeable plate.