Does the disc area of the propeller have anything to do with the mass and velocity of the propeller outflow?
Assuming 100hp is transmitted through a 2m diameter prop and the same 100hp on another set up is transmitted through a 1m diameter prop.
For the same power to be transmitted we would have to have the same blade area in each set up wouldn't we? This same blade area would mean that in the 1m diameter prop we have a higher disc solidity/disc loading.
Does the 1m prop have a higher outwash velocity than the 2m prop?