I have the the constants for air density, radius of pipe, Radius of the propeller, and the rpm of the propeller. I need to find the inflow air velocity and mass flow rate of the air and the outflow mass flow rate and velocity of the air from the propeller. is there a formula, method or theory for this?
The mass flow through the propulsion system is constant, and we can determine the value at the plane of the propeller. Since the propeller rotates, we can define an area A that is swept out by the propeller of blade length L. Through this area, the mass flow rate is density times velocity Vp, times area.
Vp = 0.5 (Ve + Vo), Vo velocity of the upstream free stream and Ve is the exit velocity.
https://www.grc.nasa.gov/www/k-12/VirtualAero/BottleRocket/airplane/Images/propth.gif
Regards
The information given in your question is insufficient. The flow velocity and flow rate will depend on the geometry of the impeller (e.g. blade angle).
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