Answer Happy

Water enters a centrifugal pump axially at atmospheric pressure at a volumetric flow rate of 10 m/s and at a velocity of 5 m/s, and leaves in the normal direction, also at atmospheric pressure, along the pump casing as show in the figure below (from top and bottom). Take the water entry area to be twice the area of the blade whether from top or bottom. Determine the following: Consider p = 1000 kg/m3 and atmospheric pressure to be 101 kPa • What are the valid assumptions (select all valid choices)? • What is the volumetric flow rate at the blade outlet i.e. any of the exit points (top or bottom)? • What is the force acting on the bearing of the shaft in the axial direction i.e. horizontal force (Rx)? • What is the force acting on the bearing of the shaft in the radial direction i.e. vertical force (Ry)? If this pump is on a boat and the boat is moving towards the left of the page at a constant velocity of 1 m/s (against the direction of water entry into the pump), determine the following: • How would this affect the force on the bearing in the axial direction? • How would this affect the force on the bearing in the radial direction? • Hint: Think about relative velocity of water in this case! Select a total of 8 answers that match the above required quantities with the best approximations. Blade Impeller shroud 10 m^3/s

Blade Impeller shroud 10 m^3/s Shaft Select 8 correct answer(s) Uniform Velocity Profile across Control Surfaces 12 kN 15 m3/s The force in the axial direction increases to 72 KN Compressible Flow The force in the radial direction decreases to 24kN Unsteady Flow

60 KN The force in the radial direction decreases to 12kN 5 m/s | The force in the axial direction increases to 60 kN The force in the radial direction increases to 64kN 2.5 m3/s | The force in the radial direction does not change The force in the radial direction increases to 32kN 50 kN Steady Flow 24 kN