A curved nozzle deflects water steadily, at a rate of 30 kg/s, in a horizontal pipe upward by an angle of 45° as shown in figure 2. The nozzle discharges water into the atmosphere. The cross sectional area of the elbow is 150 cm2 at location 1 and 25 cm2 at location 2. The height difference between locations 1 and 2 is 0.40 m. The total mass of the nozzle and the water in it is 50 kg. The flow velocities in the pipe can be assumed to be uniform. (a) Calculate the velocity at locations 1 and 2. (b) Calculate the gauge pressure at location 1. (c) Consider a Control Volume that encompasses the nozzle and passes though locations 1 and 2. Calculate the external reaction force (magnitude and direction) that the horizontal section of pipe exerts on the Control Volume. This reaction force is equivalent to the force required to hold the nozzle static and is called an anchoring force. Figure 2. Curved nozzle discharging to the atmosphere.
A curved nozzle deflects water steadily, at a rate of 30 kg/s, in a horizontal pipe upward by an
angle of 45° as shown in figure 2. The nozzle discharges water into the atmosphere. The cross
sectional area of the elbow is 150 cm2 at location 1 and 25 cm2 at location 2. The height difference
between locations 1 and 2 is 0.40 m. The total mass of the nozzle and the water in it is 50 kg. The
flow velocities in the pipe can be assumed to be uniform.
(a) Calculate the velocity at locations 1 and 2.
(b) Calculate the gauge pressure at location 1.
(c) Consider a Control Volume that encompasses the nozzle and passes though
locations 1 and 2. Calculate the external reaction force (magnitude and direction)
that the horizontal section of pipe exerts on the Control Volume. This reaction force
is equivalent to the force required to hold the nozzle static and is called an anchoring
force.
Figure 2. Curved nozzle discharging to the atmosphere.
Step by step
Solved in 4 steps with 5 images
