  A similarity transformation for the mean velocity profiles is obtained in
sink flow turbulent boundary layers (TBL), including effects of blowing and
suction. It is based on symmetry analysis which transforms the governing
partial differential equations (for mean mass and momentum) into an ordinary
differential equation and yields a new result including an exact, linear
relation between the mean normal ($V$) and streamwise ($U$) velocities. A
characteristic length is further introduced which, under a first order
expansion in wall blowing/suction velocity, leads to the similarity
transformation for $U$. This transformation is shown to be a group invariant
under a generalized symmetry analysis and maps different $U$ profiles under
different blowing/suction conditions into a (universal) profile under no
blowing/suction. Its inverse transformation enables predictions of all mean
quantities in the mean mass and momentum equations - $U$, $V$ and the Reynolds
shear stress - in good agreement with direct numerical simulation (DNS) data.
