Abstract
A simple relation between the profiles of the hydrodynamic parameters in a boundary layer on an impermeable plate and those in an asymptotic suction boundary layer is found for high Reynolds numbers. (The asymptotic suction boundary layer is a one-dimensional flow in which all mean parameters are functions of only the transverse coordinate.) The profiles of the mean velocity in the outer region (beyond the viscous sublayer) of two flows are related to each other in terms of quadratures. The distributions of shear stress are determined from the velocity profile of one of the flows. Turbulent normal stresses are calculated from the corresponding component of the Reynolds tensor and velocity profile of the other flow. The rms transverse velocity fluctuation in the intermediate wall region of the boundary layer with suction is shown to be proportional to the logarithm of the distance from the wall, whereas the rms longitudinal velocity fluctuations, to this logarithm in a power of 3/2. The results are obtained only from the equations of motion and analysis of dimensions.
