  Low angular momentum accretion flows can have standing and oscillating shock
waves. We study the region of the parameter space in which multiple sonic
points occur in viscous flows in presence of various cooling effects such as
bremsstrahlung and Comptonization. We also quantify the parameter space in
which shocks are steady or oscillating. We find that cooling induces effects
opposite to heating by viscosity even in modifying the topology of the
solutions, though one can never be exactly balanced by the other due to their
dissimilar dependence on dynamic and thermodynamic parameters. We show that
beyond a critical value of cooling, the flow ceases to contain a shock wave.
