  A new wall-wake law is proposed for the streamwise turbulence in the outer
region of a turbulent boundary layer. The formulation pairs the logarithmic
part of the profile (with a slope A_1 and additive constant B_1) to an outer
linear part, and it accurately describes over 95% of the boundary layer profile
at high Reynolds numbers. Once the slope A_1 is fixed, B_1 is the only free
parameter determining the fit. Most importantly, B_1 is shown to be
proportional to the wake factor in the wall-wake law for the mean velocity,
revealing a previously unsuspected connection between the turbulence and the
mean flow.
