Problem

A water jet with a mass flow rate at the nozzle impinges with a speed υw on a fixed flat...

A water jet with a mass flow rate at the nozzle impinges with a speed υw on a fixed flat vane inclined at an angle θ with respect to the horizontal. Assuming that there is no friction between the water jet and the vane, the jet will split into two flows with mass flow rates and . Neglecting the weight of the water, determine how and depend on , υw, and θ. Hint: Due to the no-friction assumption, there is no force that slows down the water in the direction tangent to the vane, and this implies that the momentum in that direction is conserved.