A free jet of water of velocity V strikes against a series of curved semi-cireular vanes tangentially. The vanes are moving in the direction of the jet with velocity equal to 0.6V. Assuming the relative velocity of water is reduced by 10% by moving over the vanes; show that the vanes have an efficieney of 91.2%.

A jet of water 95 mm diameter is moving with a velocity of 25 m/s, strikes a stationary plate. Find the normal force on plate when (i) Plate is normal to jet. (ii) The angle between jet and plate is 30°.

Consider the flow of a fluid at speed v0, through a cylindrical pipe of radius r. What would be the speedof this fluid at a point where, because of a constriction in the pipe, the fluid is confined to a cylindricalopening of radius r/4?

A point source with volume flow Q = 30 m3/s is immersedin a uniform stream of speed 4 m/s. A Rankine half-body ofrevolution results. Compute (a) the distance from the source to the stagnation point and (b) the two points (r, θ) on thebody surface where the local velocity equals 4.5 m/s.