  Through model-to-data comparisons from heavy-ion collisions, it has been
shown that the Quark Gluon Plasma has an extremely small shear viscosity at
vanishing densities. At large baryon densities, significantly less is known
about the nature of the shear viscosity from Quantum Chromodynamics (QCD).
Within heavy-ion collisions, there are three conserved charges: baryon number
(B), strangeness (S), and electric charge (Q). Here we calculate the shear
viscosity in two limits using perturbative QCD and an excluded-volume hadron
resonance gas at finite BSQ densities. We then develop a framework that
interpolates between these two limits such that shear viscosity is possible to
calculate across a wide range of finite BSQ densities. We find that the pQCD
and hadron resonance gas calculations have different BSQ densities dependence
such that a rather non-trivial shear viscosity appears at finite densities.
