Answered: A 230-m-long pipeline delivers 20°C…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A 230-m-long pipeline delivers 20◦C water to a storage reservoir located downstream. The pipeline is galva-
nized with an average roughness height of 0.2 mm. An axial pump is used to pressurize upstream water. The
water surface in the reservoir is located 18 m above the centerline of the pump. The pump discharges water
at an absolute pressure of 400 kPa and a volume flow rate of 50 L/s. Calculate a diameter of pipe required
to achieve such an operating condition. If needed, use the Moody diagram on the last page, or one can solve
the Colebrook equation using, for example, Matlab.

3. A 230-m-long pipeline delivers 20°C water to a storage reservoir located downstream. The pipeline is galva-
nized with an average roughness height of 0.2 mm. An axial pump is used to pressurize upstream water. The
water surface in the reservoir is located 18 m above the centerline of the pump. The pump discharges water
at an absolute pressure of 400 kPa and a volume flow rate of 50 L/s. Calculate a diameter of pipe required
to achieve such an operating condition. If needed, use the Moody diagram on the last page, or one can solve
the Colebrook equation using, for example, Matlab.

Friction Factor
0.1
0.09
0.08
0.07
0.06
0.05
0.04
0.03
0.02
0.015
0.01
Laminar Flow
64
Material
Concrete, coarse
Concrete, new smooth
Drawn tubing
Glass, Plastic Perspex
Iron, cast
Sewers, old
Steel, mortar lined.
Steel, rusted
€ (mm)
0.25
0.025
0.0025
0.0025
0.15
3.0
0.1
0.5
Steel, structural or forged 0.025
Water mains, old
1.0
10³
104
Moody Diagram
Transition Region
Complete Turbulence;
Friction Factor =
105
VAP.
106
Reynolds Number, Re=
pVd
μl
Smooth Pipe
107
0.05
0.04
0.03
0.02
0.015
0.01
0.005
0.002
0.001
5x10-4
2x10-4
10-4
5x10-5
10-5
5x10-6
10-6
108
Relative Pipe Roughness

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