Answered: Water (at 20C) flows through a pipeline…

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

Water (at 20C) flows through a pipeline connected in series, as shown in the Figure. The construction material of the pipes is commercial steel. Diameters of the first
and second pipe are 1¼ inch nominal (42.4/3.25 mm) and ¾ inch nominal
(26.9/2.65 mm), respectively. No elevation difference exits in the system. If the pressures
at point A and at point B are 12.63 mWH absolute and 10.33 mWH absolute,
respectively, what is the volumetric flow rate in the pipeline? Neglect the contraction
losses in the connection of two pipes.
Note: Friction factor must be found from MOODY DIAGRAM. For simplification in the
reading of Moody diagram, take relative roughness of each pipe as: E/D1=0.001 and
E/D2=0.002
Figure Q2.1. Schematic illustration of the series-connected pipeline system.
Figure Q2.2. Moody diagram

A
B
Lj=10m
L2=10m
D1
D2
Figure Q2.1. Schematic illustration of the series-connected pipeline system.
0.025
Laminar, /=
Rough Pipes, = -3.6 log10 + (a)
6.9
1.11
0.02
0.018
0.05
0.04
0.016
0.03
0.014
0.02
0.012
0.015
0.01
0.01
0.008
0.006
0.008
0.004
0.007
0.006
0.002
0.001
0.0008
0.0006
0.005
Roughness Value, k
Rivited steel: 5 mm
Concrete: 2 mm
Cast iron: 0.25 mm
Galvanized steel: 0.15 mm
Cast iron: 0.12 mm
Steel: 0.045 mm
Draw tubing: 0.0015 mm
0.004
0.0004
0.0002
0.003
5e-05
0.0025
Smooth Pipes, f = 0.079RE
1e-05
0.002
10
104
10
10
107
10
Reynolds Number, Und
Figure Q2.2. Moody diagram
Friction factor, f
Relative Roughness, k/d

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