I like to describe dense phase supercritical phase as "a fluid that has the molecular energy of a gas, but the physical properties (or as zdas describes as bulk properties) of a liquid." If you look at a pump or compressor be it a positive displacement or centrifugal, they don't care what phase enters them, just don't change phase in the middle of the operation. A piston compressor water pump will pump air, but the efficiency and rate will be horrible until you change the inlet and outlet check valves to match the fluids bulk properties.