Flowrates and Slope of Horizontal Drainage Piping
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TH
ER
MO
PLA
ST
IC E
NG
INE
ER
ING
FOR SERVICE, PLEASE CALL 1-800-877-HIPCO
Q = A x x R 2/3 x S 1/2 (7.48x60)
SLOPEINCHES
PER FOOTS
FOOT PER FOOT S 1/2
1/8
1/4
1/2
0.0104
0.0208
0.0416
0.102
0.144
0.204
PIPE SIZE n
1-1/2”
2” through 3”
4”
5” and 6”
8” and larger
0.012
0.013
0.014
0.015
0.016
Table 39 VALUES OF S AND S 1/2. Table 40 VALUES OF n.
DISCHARGEGPM
VELOCITYFPS
ACTUAL INSIDEDIAMETER
OF PIPEINCHES
DISCHARGEGPM
DISCHARGEGPM
DISCHARGEGPM
VELOCITYFPS
VELOCITYFPS
VELOCITYFPS
FLOWING HALF FULL DISCHARGE RATE AND VELOCITY
1/16 IN./FT.SLOPE
1/8 IN./FT.SLOPE
1/4 IN./FT.SLOPE
1/2 IN./FT.SLOPE
1-1/4
1-3/8
1-1/2
1-5/8
2
2-1/2
3
4
5
6
8
10
12
-
-
-
-
-
-
-
26.70
48.3
78.5
170.
308.
500.
-
-
-
-
-
-
-
1.36
1.58
1.78
2.17
2.52
2.83
-
-
-
-
-
10.8
17.6
37.8
68.3
111.
240.
436.
707.
-
-
-
-
-
1.41
1.59
1.93
2.23
2.52
3.07
3.56
4.01
-
3.13
3.91
4.81
8.42
15.3
24.8
53.4
96.6
157.
340.
616.
999.
-
1.34
1.42
1.50
1.72
1.99
2.25
2.73
3.16
3.57
4.34
5.04
5.67
3.40
4.44
5.53
6.80
11.9
21.6
35.1
75.5
137.
222.
480.
872.
1413.
1.78
1.90
2.01
2.12
2.43
2.82
3.19
3.86
4.47
5.04
6.13
7.12
8.02
Table 41 APPROXIMATE DISCHARGE RATES AND VELOCITIES IN SLOPING DRAINS
SLOPE OF HORIZONTAL DRAINAGE PIPING
R =
FEET
D4
PIPESIZE(IN.) R 2/3
A - CROSS-SECTIONALAREA FOR FULL FLOW
SQ. FT.
A - CROSS-SECTIONALAREA FOR HALF FULL FLOW
SQ. FT.
1-1/2
2
2-1/2
3
4
5
6
8
10
12
14
0.0335
0.0417
0.0521
0.0625
0.0833
0.1040
0.1250
0.1670
0.2080
0.2500
0.3125
0.1040
0.1200
0.1396
0.1570
0.1910
0.2210
0.2500
0.3030
0.3510
0.3970
0.4610
0.01412
0.02180
0.03408
0.04910
0.08730
0.13640
0.19640
0.34920
0.54540
0.78540
1.22700
0.00706
0.01090
0.01704
0.02455
0.04365
0.06820
0.09820
0.17460
0.27270
0.39270
0.61350
Table 38
Horizontal drains are designated to flow at half full capacity under uniform flow conditions so as to prevent the generation ofpositive pressure fluctuations. A minimum of 1/4” per foot should be provided for 3” pipe and smaller, 1/8” per foot for 4”through 6”, and 1/16” per foot for 8” and larger. These minimum slopes are required to maintain a velocity of flow greaterthan 2 feet per second for scouring action. Table 41 gives the approximate velocities and discharge rated for given slopesand diameters of horizontal drains based on modified Manning Formula for 1/2 full pipe and n = 0.015. The valves for R, R2/3, A, S, S 1/2 and n are from Tables 38, 39 & 40.
1.486n
Where: Q = Flow in GPM R = Hydraulic radius of pipeA = Cross sectional area, sq. ft. S = Hydraulic gradientn = Manning coefficient