3. The velocity profile in fully developed laminar flow in a circular pipe, in m/s, is given by u(r)= 6(1-100r²), where r is the radial distance from the centerline of the pipe in m. Determine (a) theradius of the pipe, (b) the maximum and average velocity through the pipe. f0.10.090.080.070.060.050.040.030.0250.020.0150.010.0090.008Laminarflow10³11---Transition range2(10³) 468104Moody ChartWholly turbulent flowSmooth2(104) 4 6 81052(105) 4 68Re=pVDμ1062(106) 4 6 81072(107) 4 6 80.050.040.030.020.0150.010.0080.0060.004 D0.0020.0010.00080.00060.00040.00020.00010.000050.00001

Given data:- u(r) =6(1 -100r2) m/s To find:- The radius of the pipe the maximum and average…

Answered: 3. The velocity profile in fully…

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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Transcribed Image Text:3. The velocity profile in fully developed laminar flow in a circular pipe, in m/s, is given by u(r) = 6(1-100r²), where r is the radial distance from the centerline of the pipe in m. Determine (a) the radius of the pipe, (b) the maximum and average velocity through the pipe.

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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