  We use the excluded volume Hadron Resonance Gas (HRG) model with the most
up-to-date hadron list to calculate $\eta T/w$ at low temperatures and at
finite baryon densities $\rho_B$. This $\eta T/w$ is then matched to a
QCD-based shear viscosity calculation of the QGP for different profiles of
$\eta T/w$ across {T,$\mu_{B}$} including cross-over and critical point
transitions. When compared to ideal hydrodynamic trajectories across
{T,$\mu_{B}$}, we find that the $\eta T/w(T,\mu_B)$ profiles would require
initial conditions at much larger baryon density to reach the same freeze-out
point.
