Limitation of the Propeller in Propulsion
In order to maintain good flow over the blade certain conditions must be meet.
1. The relative approach angle and the blade leading edge angle must be close to prevent flow separation from the blade.
2. The turning angle must be keep quite small, or the flow will also separate from the blade.
3. The relative approach velocity must not be too close to the speed of sound.  This is to prevent shock waves from forming on the blade.
Thus conventional propellers are used for flight speeds well below the speed of sound;  usually at or below 135 m/s (300 mph).