1. CE 230-Engineering Fluid Mechanics
Lecture # 31-32
Minor losses
Characteristic curve of a pump
Parallel pipes

2. Components of head loss
Losses due to friction along the length of the pipe call MAJOR LOSS
Losses at localized regions like inlets, outlets, bends.. CALL MINOR LOSS

5. Example 10.9
Find the elevation of the left reservoir given:
D=15 cm
Q= m3/s
ν = 4x10-5 m2/s
S=0.9

6. Characteristic curve of a pump
The head produced by a pump will depend on the discharge rate varying from maximum value when there is no flow and decreasing as Q increases.
The nature of this variation is unique for every pump and is usually supplied by the manufacturer as a curve called the characteristic curve of the pump.

7. Characteristic curve of a pump
If we place a pump of known c.c. in a pipe line and want to determine the head required from the pump apply the energy equation we could get an equation for hp
hp will be a function of Q (system curve)

8. Example 10.11
Find the flow rate of water. The pump has the shown c.c.
f=0.015
hp=30+127Q2

11. Flow in parallel pipes How much will flow in pipe 1 and 2?
Key concept is the head difference between ant two junctions in the same regardless of the path.

12. Pipe networks Water distribution system Hardy cross method
Iterative procedure CE
delta hL=0