5. Water at 15°C (p = 999.1 kg/m³ and µ = 1.138 × 10¯³ kg/m-s) is flowing steadily in a 30-m-long and 6-cm-diameter horizontal pipe made of stainless steel at a rate of 10 L/s. Determine (a) the pressure drop, (b) the head loss, and (c) the pumping power requirement to overcome this pressure drop. Assume the entrance effects are negligible, and thus the flow is fully developed. Take the roughness of stainless steel as 0.002 mm. 10 L/s 30 m 6 cm

Structural Analysis
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Chapter2: Loads On Structures
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5. Water at 15°C (p = 999.1 kg/m³ and µ = 1.138 × 10¯³ kg/m-s) is flowing steadily in a 30-m-long
and 6-cm-diameter horizontal pipe made of stainless steel at a rate of 10 L/s. Determine (a) the
pressure drop, (b) the head loss, and (c) the pumping power requirement to overcome this pressure
drop. Assume the entrance effects are negligible, and thus the flow is fully developed. Take the
roughness of stainless steel as 0.002 mm.
10 L/s
30 m
6 cm
Transcribed Image Text:5. Water at 15°C (p = 999.1 kg/m³ and µ = 1.138 × 10¯³ kg/m-s) is flowing steadily in a 30-m-long and 6-cm-diameter horizontal pipe made of stainless steel at a rate of 10 L/s. Determine (a) the pressure drop, (b) the head loss, and (c) the pumping power requirement to overcome this pressure drop. Assume the entrance effects are negligible, and thus the flow is fully developed. Take the roughness of stainless steel as 0.002 mm. 10 L/s 30 m 6 cm
f
0.1
0.09
0.08
0.07
0.06
0.05
0.04
0.03
0.025
0.02
0.015
0.01
0.009
0.008
Laminar
flow
10³
1
1
---
Transition range
2(10³) 468
104
Moody Chart
Wholly turbulent flow
Smooth
2(104) 4 6 8
105
2(105) 4 68
Re=
pVD
μ
106
2(106) 4 6 8
107
2(107) 4 6 8
0.05
0.04
0.03
0.02
0.015
0.01
0.008
0.006
0.004 D
0.002
0.001
0.0008
0.0006
0.0004
0.0002
0.0001
0.00005
0.00001
Transcribed Image Text:f 0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.025 0.02 0.015 0.01 0.009 0.008 Laminar flow 10³ 1 1 --- Transition range 2(10³) 468 104 Moody Chart Wholly turbulent flow Smooth 2(104) 4 6 8 105 2(105) 4 68 Re= pVD μ 106 2(106) 4 6 8 107 2(107) 4 6 8 0.05 0.04 0.03 0.02 0.015 0.01 0.008 0.006 0.004 D 0.002 0.001 0.0008 0.0006 0.0004 0.0002 0.0001 0.00005 0.00001
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