Machinery's Handbook, 31st Edition
Hazen-Williams Equation 2781 A solution of the Hazen-Williams equations may be found by use of the nomograph in Fig. 2, based on the Hazen-Williams formula and using C h = 100. For larger or smaller val ues of C h , the discharge or velocity obtained from the nomograph is multiplied by the ratio of the given value of C h to 100. If the discharge or velocity is given, it should be multiplied by the ratio of 100 to the known value of C h before the nomograph is used. Example: By using Fig. 2, determine the discharge, in cubic feet per second (cfs), from a 12-inch pipe for which C h = 120 when the loss of head is 5 feet per 1000 feet. Solution: The discharge corresponding to the given diameter and loss of head for a value of C h = 100 is found first. A straightedge passing through 12 on the diameter line and 5 on the loss-of-head line will intersect the discharge line at 2.5 cfs. Therefore, the discharge is 2.5 × 120 = 3.0 cfs.
0.4
20,000
0.5
0.01 0.02 0.03 0.04 0.05 0.06 0.08 0.10 0.12
30 40 20 15 10 9 8 7 6 5
10 12 14 16 18 20 24 30 36 42 48 54 60 66 72 84 96 102
0.6 0.7 0.8 0.9 1
90
3000 4000 5000 6000 7000 8000 9000 10,000
0.3 0.4 0.5 0.6 0.8 1.0
1000
4 3
2
1000
2 3 4 5 6 8
500 400 300 200 900 800 700 600
2 1.5 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3
2 4 5 6 7 8 9
3
10 20 30 40 50 60 80
4
5 6 7 8 9 10
100 200 200 400 500
100 90 80 70
0.2
2
50 60
0.1
Fig. 2. Nomograph for Hazen-Williams equations in which C h = 100.
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