In the design of a 500m long water pipeline it is proposed to keep head loss, hf, less than 6m for a flow of 0.50 m'sl. The pipeline must also be able to withstand water hammer pressures under rapid valve closure condition at the discharge end. Two types of pipes - PVC and steel - each 50 cm in diameter are available. Which pipe will you recommend? 1. The Darcy friction coefficient, 2, can be estimated from Figure 1. The value of the roughness height for steel pipe is 0.00015m, while the PVC pipe can be considered hydraulically smooth. The thickness of each pipe is 1 cm and the Modulus of Elasticity, E, for steel is 200x10° Nm2 and for PVC is 1.7x10 Nm2. The Bulk Modulus of Elasticity, K, for water is 2x10°Nm2. The working pressures for the steel and PVC pipes are 2 MPa and1 MPa respectively.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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In the design of a 500m long water pipeline it is proposed to keep head loss, hf, less than
6m for a flow of 0.50 m's1. The pipeline must also be able to withstand water hammer
pressures under rapid valve closure condition at the discharge end. Two types of pipes-
PVC and steel - each 50 cm in diameter are available. Which pipe will you recommend?
1.
The Darcy friction coefficient, 2, can be estimated from Figure 1. The value of the
roughness height for steel pipe is 0.00015m, while the PVC pipe can be considered
hydraulically smooth. The thickness of each pipe is 1 cm and the Modulus of Elasticity,
E, for steel is 200x10° Nm2 and for PVC is 1.7×10®N%?. The Bulk Modulus of
Elasticity, K, for water is 2x10°Nm2. The working pressures for the steel and PVC pipes
are 2 MPa and 1 MPa respectively.
0,1
0,09|Laminar flow f IN
aica Transition
0,08
Laminar Critica!
flow
Complete turbulence, rough pipes
Zone 20ne
0,05
0.07
0,04
0,06
0,03
0,05
0,02
0,015
Lio 0,04
0,01
0.008
Re,
0,006
0,03
0,004
0,025
0,002
0,001
0,0008
0,0006
0,02
7 9n 2(10)3 4 567 9
10
10
2(10 )3 4 5 6
€,mny
0.0004
0,015
Rivaled steel
Concreto
Wood stave
Cast iron
Galvanized iron
Asphalted cast iron 0,0004
Commercial steel or
Wiought iron
Drawn tubing
0,003-0,03
0.001-0,01
0,0-9
0,3-3
0,0006-0,003 0,18-0,0
0,25
0,15
0,12
0,0002
0,00086
0,0005
0,000 05
0,01
Smooth pipes-
0,000 001
0,000 005
0,00015
0,046
0,009
0,000005
0,0015
0,000 01
0,008-
2(10)3 4 S 67 9 2(10) 3 4 567 97 2(10')3 4 567 9
Reynolds number Re =
consistent units
Figure 1 – Friction factor for commercial pipes (f=1 and €=roughness height)
Friction Factor f =,
Relative Roughness D
Transcribed Image Text:In the design of a 500m long water pipeline it is proposed to keep head loss, hf, less than 6m for a flow of 0.50 m's1. The pipeline must also be able to withstand water hammer pressures under rapid valve closure condition at the discharge end. Two types of pipes- PVC and steel - each 50 cm in diameter are available. Which pipe will you recommend? 1. The Darcy friction coefficient, 2, can be estimated from Figure 1. The value of the roughness height for steel pipe is 0.00015m, while the PVC pipe can be considered hydraulically smooth. The thickness of each pipe is 1 cm and the Modulus of Elasticity, E, for steel is 200x10° Nm2 and for PVC is 1.7×10®N%?. The Bulk Modulus of Elasticity, K, for water is 2x10°Nm2. The working pressures for the steel and PVC pipes are 2 MPa and 1 MPa respectively. 0,1 0,09|Laminar flow f IN aica Transition 0,08 Laminar Critica! flow Complete turbulence, rough pipes Zone 20ne 0,05 0.07 0,04 0,06 0,03 0,05 0,02 0,015 Lio 0,04 0,01 0.008 Re, 0,006 0,03 0,004 0,025 0,002 0,001 0,0008 0,0006 0,02 7 9n 2(10)3 4 567 9 10 10 2(10 )3 4 5 6 €,mny 0.0004 0,015 Rivaled steel Concreto Wood stave Cast iron Galvanized iron Asphalted cast iron 0,0004 Commercial steel or Wiought iron Drawn tubing 0,003-0,03 0.001-0,01 0,0-9 0,3-3 0,0006-0,003 0,18-0,0 0,25 0,15 0,12 0,0002 0,00086 0,0005 0,000 05 0,01 Smooth pipes- 0,000 001 0,000 005 0,00015 0,046 0,009 0,000005 0,0015 0,000 01 0,008- 2(10)3 4 S 67 9 2(10) 3 4 567 97 2(10')3 4 567 9 Reynolds number Re = consistent units Figure 1 – Friction factor for commercial pipes (f=1 and €=roughness height) Friction Factor f =, Relative Roughness D
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