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CWEV201 Water Engineering - Nelson Mandela University
Assignment: Pipe flow and energy losses
Figure 6 on Annexure F shows a gravitational water PVC-pipeline connected to an elevated water tank at a to the outlet at j, where a valve controls the outflow. A pump at e supplies an input pressure of 13,6 m to the pipe system. Pipe detail is tabulated below:
Pipe numbered
Inside diameter (mm)
Length (m)
D'Arcy friction factor (f)
1 (from a to c)
200
46
0,007
from c to i
Ignore friction - only refer to the minor losses
2 (from i to j)
247
Minor energy losses will occur at points marked from (a) to (j) with all relevant detail tabulated below:
Position: minor loss
Description
a
Smooth pipe entrance with 20 mm radius
f
Pressure meter with a loss coefficient (k) of 2,3
b
900 bend with a long radius of 350 mm
g
Flow meter with a loss coefficient (k) of 3,4
c
Smooth pipe
contraction to 75 mm with θ = 600
h
300 pipe bend with r/d = 1
d
Sluice valve, fully open
i
Sudden (sharp) pipe
expansion to 200 mm
e
Pump with a total head
loss of 200 mm
j
Globe valve, 25% open
a) Determine all the minor losses coefficients (K) for the above system by filling in all necessary data on Annexure E which needs to be handed back for evaluation. Work up to 3 decimal values.
b) Apply the energy-principle on the given system and determine the discharge (outflow) at j, considering all the minor and frictional losses.
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