Water is pumped through a vertical steel pipe to an elevated tank. D = 10 cm, P₁= 1.6 MPa, L = 80 m, Q = 0.02 m³/s. Find: Pressure at point 80 m above pump, "P₂=?" Properties: Water (20 °C), Table A.5: 7=9790 N/m³. Sol. Tips: First Compute "Re", and "Relative roughness". Plot them on chart below to mark value of friction coefficient "f=?". Then Compute friction head loss "hf=?", and compute pressure by Bernoulli equation! Resistance coefficient,/ 0.100 0.090 0.080 0.070 0.060 0.050 0.040 0.030 0.025 0.020 0.015 0.010 0.009 0.008 Laminar flow 10³ 2 10³ 2 468104 2 68104 2 Ref¹/2- 4 -D2/2 (201)¹/2 68105 2 Fully rough turbulent flow 6 810 Smooth pipes 2 Re=VD 4 468105 6 8106 2 2 0.05 0.04 0.03 0.02 0.015 0.01 0.0081 0.006 0.004 0.002 0.001 8:8888 0.0006 0.0004 0.0002 0.0001 0.00005 0.00001 8108 Relative roughness, D

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Water is pumped through a vertical steel pipe to an elevated tank.
D = 10 cm, P₁= 1.6 MPa, L = 80 m, Q = 0.02 m³/s.
Find: Pressure at point 80 m above pump, “P₂=?”
Properties: Water (20 °C), Table A.5: y=9790 N/m³.
Sol. Tips: First Compute "Re", and "Relative roughness". Plot them on chart below to mark value of friction
coefficient "f=?". Then Compute friction head loss "hf=?", and compute pressure by Bernoulli equation!
Resistance coefficient,
0.100
0.090
0.080
0.070
0.060
0.050
0.040
0.030
0.025
0.020
0.015
0.010
0.009
0.008
Laminar flow
10³
64
Re
2
10³ 2
46 8104
468104
2
4
Ref¹/2_D32 (24)¹/2
8105 2
Fully rough turbulent flow
6 8105
Smooth pipes
2
Re-VD
4
6 8105
6 8105
2 4 6 810²
Ti
0.05
0.04
0.03
0.02
0.015
0.01
0.008-1
0.006
0.004
0.002
0.0008
0.0006
0.0004
0.0002
0.0001
0.00005
0.00001
Relative roughness,
6 8108
Transcribed Image Text:Water is pumped through a vertical steel pipe to an elevated tank. D = 10 cm, P₁= 1.6 MPa, L = 80 m, Q = 0.02 m³/s. Find: Pressure at point 80 m above pump, “P₂=?” Properties: Water (20 °C), Table A.5: y=9790 N/m³. Sol. Tips: First Compute "Re", and "Relative roughness". Plot them on chart below to mark value of friction coefficient "f=?". Then Compute friction head loss "hf=?", and compute pressure by Bernoulli equation! Resistance coefficient, 0.100 0.090 0.080 0.070 0.060 0.050 0.040 0.030 0.025 0.020 0.015 0.010 0.009 0.008 Laminar flow 10³ 64 Re 2 10³ 2 46 8104 468104 2 4 Ref¹/2_D32 (24)¹/2 8105 2 Fully rough turbulent flow 6 8105 Smooth pipes 2 Re-VD 4 6 8105 6 8105 2 4 6 810² Ti 0.05 0.04 0.03 0.02 0.015 0.01 0.008-1 0.006 0.004 0.002 0.0008 0.0006 0.0004 0.0002 0.0001 0.00005 0.00001 Relative roughness, 6 8108
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