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0.03 b 0.03 0.03 b 0.03
q 1 , MGD (14) 0.03 0.03 0.03 0.03 1.85) 0.03 0.03 0.03 0.03 1.85) Loss of Head A–E (23) 1. Via pipes 1, 2, 5, 25.0 ft 2. Via pipes 3, 4, 5, 25.3 ft 3. Via pipes 3, 6, 7, 25.5 ft
12.8 26.5 30.0 35.6
H 1 Q 1
First Correction H 1 , ft (12) 6.0 6.1 9.8 4.6 (40.2 2.3 4.6 9.8 12.9 8.2 (104.9 6.7 Result H 3 , ft (22) 6.4 6.8 8.9 4.6 0.3 4.6 11.8 10.8 5.8 0.2 head lost in pipe(ft).
(13)
5.0
10.0
12.8
12.4
s 1 , ‰ (11) 3.0 6.1 9.8 2.3 2.3 9.8 12.9 4.1 s 3 , ‰ (21) 3.2 6.8 8.9 2.3 2.6 11.8 10.8 2.9
Q 1 , MGD (10) 1.21 0.61 0.79 0.36 0.36 0.37 0.43 0.23 Q 3 , MGD (20) 1.25 0.65 0.75 0.36 0.36 0.41 0.39 0.19 100, H
0.07 b 0.21 0.21 b 0.07 0.01 b 0.01 0.01 b 0.01
Analysis of the Network of Figure 6.12 (Example 6.3) Using the Balancing Heads Method
q 0 , MGD (9) 0.21 0.21 0.21 0.21 1.85) 0.07 0.07 0.07 0.07 1.85) q 2 , MGD (19) 0.01 0.01 0.01 0.01 1.85) 0.01 0.01 0.01 0.01 1.85)
16.8 22.0 33.8 44.0 H 2 Q 2 (18) 5.0 10.3 12.0 12.8 12.8 28.2 28.2 31.0 q 2 . Q 2
Assumed Conditions H 0 , ft (7) 4.2 2.8 15.1 8.4 (43.1 16.5 8.4 6.6 16.9 13.2 (116.6 15.1 Second Correction H 2 , ft (17) 6.2 6.6 9.1 4.6 (40.1 0.9 4.6 11.3 11.3 6.2 (100.2 1.6 q 1 ; Q 3
H 0 Q 0
7.0
15.1
16.8
4.2
(8)
s 0 , ‰ (6) 2.1 2.8 15.1 4.2 4.2 6.6 16.9 6.6 s 2 , ‰ (16) 3.1 6.6 9.1 2.3 2.3 11.3 11.3 3.1 slope of hydraulic gradient or friction loss in ft per 1,000 (‰) by the Hazen-Williams formula for C Q 1 q 0 ; Q 2 3.785 MLD.
Q 0, MGD (5) 1.0 0.4 1.0 0.5 0.5 0.3 0.5 0.3 Q 2, MGD (15) 1.24 0.64 0.76 0.36 0.36 0.40 0.40 0.20 b Corrections in this column are those calculated for the same pipe in the companion circuit; they are of opposite sign. Q 0 Q 1 25.4 mm; 1 MGD
Diameter, in. (4) 12 8 8 8 8 6 6 6 Diameter, in. (4) 12 8 8 8 8 6 6 6 gH =- 1.85g(H>Q) , 0.3048 m; 1 in.
Length, ft (3) 2,000 1,000 1,000 2,000 2,000 1,000 1,000 2,000 Length, ft (3) 2,000 1,000 1,000 2,000 2,000 1,000 1,000 2,000 a Pipe serves more than one circuit; first consideration of this pipe.
Network Network
Pipe No. (2) 1 2 3 4 a 4 c 5 6 7 Pipe No. (2) 1 2 3 4 a 4 c 5 6 7 c Second consideration of this pipe. flow in MGD; s flow correction in MGD; q Conversion factors: 1 ft
Table 6.4 Circuit No. (1) I II Circuit No. (1) I II Q q
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