What will be the ratio for maximum propulsive efficiency?

What is the ratio of flight speed to the exhaust velocity for maximum propulsion efficiency ?

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    Propulsive efficiency for a jet engine is given as

    \[\eta _{p}=\frac{2}{1+\frac{v_{e}}{U}}\]

    Therefore from above we can see that maximum propulsive efficiency is obtained when flight speed should be equal to the exhaust velocity,the ratio should be equal to 1.

    Answered on 2nd October 2019.
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