17.13. Show that Eq. 17.34 is approximately correct over the Reynolds number range from 3 - 103 to 105 by calculating the friction factor from it and comparing it with the friction factor for smooth pipes in Fig. 6.10 for several range. How well does this approximation work for R= in this = 108?

Elements Of Electromagnetics
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Friction factor, f
0.035
0.030
0.025
0.020
0.015
0,01
0.009
0.008
0.007
0.006
0.005
0.0045
0.004
0.0035
0.003
0.0025
0.0015
0.001
1x 10³
LIN
TIL
23456789
1x 104
2 3 4 56789
Smooth tubes
2 3 4 5 67 89
1x 105
1x 106
Reynolds number Ne
f=
2 3 4 5 6789
0.0791
R¹/2
1x10²
2
$
0.05
0.03
0.02
0.015
8.808
0.006
0.004
0.002
88%
89000
0.0004
0.0002
0.0001
0.00005
0.00001
0.000005
0.000001
3456789
1x 10
FIGURE 6.10
Friction factor plot for circular pipes. Based on Moody, L. W. Friction factors for pipe flow. Trans. New York: ASME 66:672. 1944.
FIGURE 6.10
Friction factor plot for circular pipes. Based on Moody, L. W.
Friction factors for pipe flow. Trans. New York: ASME 66:672.
1944.
(17.34)
Transcribed Image Text:Friction factor, f 0.035 0.030 0.025 0.020 0.015 0,01 0.009 0.008 0.007 0.006 0.005 0.0045 0.004 0.0035 0.003 0.0025 0.0015 0.001 1x 10³ LIN TIL 23456789 1x 104 2 3 4 56789 Smooth tubes 2 3 4 5 67 89 1x 105 1x 106 Reynolds number Ne f= 2 3 4 5 6789 0.0791 R¹/2 1x10² 2 $ 0.05 0.03 0.02 0.015 8.808 0.006 0.004 0.002 88% 89000 0.0004 0.0002 0.0001 0.00005 0.00001 0.000005 0.000001 3456789 1x 10 FIGURE 6.10 Friction factor plot for circular pipes. Based on Moody, L. W. Friction factors for pipe flow. Trans. New York: ASME 66:672. 1944. FIGURE 6.10 Friction factor plot for circular pipes. Based on Moody, L. W. Friction factors for pipe flow. Trans. New York: ASME 66:672. 1944. (17.34)
17.13. Show that Eq. 17.34 is approximately correct over the
Reynolds number range from 3 103 to 105 by calculating
the friction factor from it and comparing it with the friction
factor for smooth pipes in Fig. 6.10 for several in this
range. How well does this approximation work for R= 108?
Transcribed Image Text:17.13. Show that Eq. 17.34 is approximately correct over the Reynolds number range from 3 103 to 105 by calculating the friction factor from it and comparing it with the friction factor for smooth pipes in Fig. 6.10 for several in this range. How well does this approximation work for R= 108?
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