problem 2 marks 2 0 water flows into and discharges from a pipe u sect

Question

Problem 2 [Marks 2.0]
Water flows into and discharges from a pipe
U-section as shown in the Figure. The total
absolute pressure at flange (1) is 350 kPa
and at flange (2), the total pressure is 220
kPa. At location (3), water discharges to the
atmosphere at 100 kPa. Water flow rates
from each point are shown in the Figure.
Assume momentum correction factor of
1.03 throughout the pipes. Determine the
following:
50 kg/s
75 kg/s
12 cm
5 cm
25 kg/s
-2.5 cm
a) Total forces along x and z axes (or FRx and FR₂) at the two flanges connecting the pipe (in
KN).
b) If the length of U-section is 100 cm and its average diameter 8.5 cm, calculate the weight
of the U-section (kN) and discuss the significance of gravity force for this problem.