  New scaling relations for the mean velocity and Reynolds shear stress in
viscous sublayer were proposed based on the application of matched asymptotic
expansion method to the mean momentum balance. It was shown that the new
parameter $\Lambda_+$ is relevant for the wall turbulence in addition to the
friction velocity. From the proposed new scaling of the viscous sublayer the
power law for the mean velocity in the overlap region was derived. The complete
or incomplete similarity of the parameter $\Lambda_+$ was shown to be the key
factor, which determines whether the mean velocity obeys the power law or log
law in the overlap layer.
