Page 206 - Fair, Geyer, and Okun's Water and wastewater engineering : water supply and wastewater removal

JWCL344_ch05_154-193.qxd 8/2/10 9:44 PM Page 168

168 Chapter 5 Water Hydraulics, Transmission, and Appurtenances
Figure 5.5c Use of Q Q Q
Hazen-Williams Pipe
Flow Diagram v = 3 ft/s
(Figs. 5.5 a and b). 2.07 v = 2 ft/s
(a) Given Q and d; to s d = 12" s d = 24" s 0.9
find s; (b) Given d and s; 0.12
to find Q; (c) Given d d = 36"
and s; to find v; (d) (a) (b) (c)
Given Q and s; to find d; 1.0 1.33
(e) Given Q and h;
Q Q Q
to find Q for different h; (2) 54.0
(f) Given Q and h; to d = 14" d = 12" d = 18" (1) (3) 25.3
find h for different Q. 2.9 (2) (3) 5.4
For C other than 100: s d = 10" 2.1 s (1) 2.8 s (3)
• Multiply given Q or v d = 16" (3) d = 8" (1)
by (100/C) to find s (1) d = 10"
• Multiply found value (d) (e) (f)
of Q or v by (C/100) 1.012 2.980 4.250 2.03.0
for given s
Conversion factors: 1 0.275 10 1,200 48 0.08 0.8 0.250
0.250 9 0.09
1 in. 25.4 mm; 1 ft/s 1,100 44
0.225 0.10
8
0.3408 m/s. 1,000 40 0.9 0.275
0.200
7
36
900
0.175
1.0
6
32 0.2
800
0.150
5
28
700
0.3
0.125
4
0.4
24
600
0.5
0.100
0.6
0.090 20
500
3
0.7 1.5
0.080 0.50
0.8
0.9
0.070
1.0
16
400
0.060
2
0.050
2.0 2.0
0.045 12 3.0
0.040
Quantity, m 3 /s 0.035 1.0 Quantity, ft 3 /s Pipe diameter, mm 300 10 Pipe diameter, in. Headloss per 1000 4.0 Velocity, ft/s Velocity, m/s
250
9
5.0
0.030
8
6.0
200
0.025
0.9
7.0
9.0
0.020 0.8 7 8.0 3.0
0.7 10
6
1.0
150
0.6
0.015
5
0.5
20
4.0
1.25
0.4
30
4
100
0.010
4.5
40
0.009
50
Figure 5.6 Nomogram for 0.008 60 5.0 1.5
3 70
0.007
Solving the Hazen-Williams 80 5.5
Equation (C 100). 0.006 0.2 90 6.0 1.8
100
1.9
For C other than 100 0.005
2
150
• Multiply given Q or v by 7.0
50 2
200
(100 C) to find s 0.004 7.5
• Multiply found value of Q 300 8.0
or v by (C/100) for given s 0.003 0.1