Design of Piping Systems
Four types of pipe flow problem
Type 2 problem or flow rate problem
Assume Friction factor and start iteration procedure
Work Last problem backward
Type 3 or Sizing Problem
Minor losses are local energy losses caused by the disruption of the flow due
to the installation of appurtenances, such as valves, bends, and other fittings
Minor head loss at the entrance of the pipe (flow leaving a tank)
0.05
Minor loss coefficient
(down stream velocity)
Gate Valve
Ball Valve
Problem 3: Water is pumped between two reservoirs at 0.0057 m^3/s through length
122 m of 5 cm diameter pipe and several minor losses, as shown in Fig. The roughness
ratio is e/d 0.001. Compute the pump horsepower required. 1 hp = 736 Watts
Flow in Noncircular Ducts
But we should not necessarily expect the Moody chart to hold exactly in terms of this new length scale.
And it is not, however, it is surprisingly accurate
Pipes in parallel and Series
Pipes in Series
Pipes in parallel
Problems
Figure 1
Start solving by assuming fully rough flow.
Assume that the same three pipes in previous problem are now in parallel with the same
total head loss of 20.3 m. Compute the total flow rate Q, neglecting minor losses.
Pipes in parallel
2. The head at inlet is 30 m over that at the outlet. A pipeline of
0.6 m in diameter is 1.5 km long transports water. A) Find the
discharge. In order to augment the discharge, another parallel
line of the same diameter is introduced in the second half of
the length. Neglecting minor losses, B) find the increase in
discharge if f = 0.04.