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Propeller Flow - Momentum Equation

Consider a ducted propeller system, which is moving forward at a velocity V1. Analyse the system by assuming the duct remains stationary, as shown in the above diagram. If, for a specific design and point of operation, V2/V1=9/4 and V1/V2=5/4, then what is the thrust produced by the propeller in terms of the pressures at 2 and 3 and the area A?

See the attachment for a visual depiction of the ducted propeller.

Solution Summary

The solution addresses the ducted propeller system, and what thrust it produces with a specified area and pressure. This is resolved by using the momentum equation, Bernoulli's theorem, and the properties of force and surface area.