Final answer:
The closed cycle turbine is the one that recycles the working fluid back to the compressor inlet, as it allows the fluid to be condensed and reused within the system.
Step-by-step explanation:
The type of turbine that recycles the working fluid back to the compressor inlet is the closed cycle turbine. In this type of system, after the working fluid passes through the turbines, it is converted back to its original phase by being circulated around tubes carrying cooling water in the condenser. The now condensed steam, or water, is returned to the steam generators to repeat the cycle. This approach maintains the internal energy of the system, as it is the same at the beginning and at the end of every cycle, consistent with the first law of thermodynamics which states that the change in internal energy, ΔU, is zero.