Show that this ducted propeller system when moving forward at velocity (V 1 ) will have an efficiency given by (2 V 1 left(V 4 V 1 ight) ) If for a specific design and point of operation, (V 2 V 1 9 4 ) and (V 4 V 2 5 4 ), what fraction of the propulsive force will be contributed (a) by the propell...

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Show that this ducted propeller system when moving forward at velocity (V_{1}) will have an efficiency given

Question:

Show that this ducted propeller system when moving forward at velocity $V_{1}$ will have an efficiency given by $2 V_{1} /\left(V_{4}+V_{1}\right)$. If for a specific design and point of operation, $V_{2} / V_{1}=9 / 4$ and $V_{4} / V_{2}=5 / 4$, what fraction of the propulsive force will be contributed

(a) by the propeller, and,

(b) by the duct?

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