(b) A 250-m long sanitary sewer pipe with a diameter of 850 mm is constructed to carry a full flow of 0.19 m /s, where i
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(b) A 250-m long sanitary sewer pipe with a diameter of 850 mm is constructed to carry a full flow of 0.19 m /s, where its invert at a river discharge is 98.650 m. After a rainstorm, the water surface of the river is at 100 m. Determine the actual flow velocity of sewage flow inside the pipe and depth of the water surface at the upstream manhole. The Manning's nomograph and a partial flow diagram are attached.
10.000 - 600 9,000 Manning Formula Pipe Flow Chart Customary and Sl units 180 0.00003 +0.000 170 0.00004 F0004 160 150 0.0000 0.005 140 0.00006 +0.006 0.00007 +0007 130 120 0.00010 F0.010 0.25 72 66 60 54 8.000+0.500 7.000 E -0.400 6.000+ LLLL 09- 0.00006 to 006 10-03 48 5.000 0.300 42-5110 TTTTTTTTTTT 100 12 4.000 36 90 13 04 0.200 30 1.4 3.000 BO 70 60 0.00015 +0.015 0.00020 +0.020 0.0003 Foos 0.0004 F004 0.0005 + 0.05 0.0006 +0.06 0.0001 +0.07 0.0008 +0.08 0.0010+010 0 150 24 2 15 1.6 1.7 0.5 2.000 ILIH 18 50 20- 18 1.9 20-08 1.500 40 -0.100 0 090 0.080 0.070 -0.000 0.0015+0.15 0 0020 +0.20 For 14 1.000 900 -30 2 | 10 0.8 TTTTTTTTTTT 800 0.050 Flow, m/s Flow. epm Pipe diamater, in. Pipe diameter, cm Slopo, ft/ft or m/m 700 0.003+0.3 0.004+04 0.005+05 0.006 0.6 0.00T+0.7 0.008 08 0.010 1.0 Slope, % Velocity, ft/s of TTTTTTT Velocity, m/s 600+ 0.040 jumping SOO 1.1 0.030 0.015+15 400 12 0.020+ 20 300 0.020 L 5- 0.015 0.03- 30 0.04 +40 006 + 50 0.06+ 60 0.07 +70 0.08 +8.0 010-10 200 ܠܨܸܠܺܝܛܺܝ Oo 6 20 0.15-+15 0.20+20 22 24 150 0010 0.009 -0.008 0.007 100- 0.006 90+ 100005 70+ 60 -0.004 030+30 26 9 04040 0.50 50 0.60 -60 28 10 3.0 OTO +70 0.60+80 50 0.003 n = 0.013 Chart based on the formula Q = 1.000 15 x Arix si tor pipe flowing full. X
1.0 09 0.8 0.7 0.6 CID UUPU 0.5 Discharge curve 0.4 0.3 Velocity curve 0.2 0.1 Crown 0 01 02 03 04 05 0.6 0.7 0.8 0.9 10 11 1.2 Ratio q/Q or IV Flow Surface D Nomenclature d = partial depth D full depth or pipe diameter q- partial discharge o full-flow discharge v - velocity, partially full V = velocity, full Invert
(b) A 250-m long sanitary sewer pipe with a diameter of 850 mm is constructed to carry a full flow of 0.19 m /s, where its invert at a river discharge is 98.650 m. After a rainstorm, the water surface of the river is at 100 m. Determine the actual flow velocity of sewage flow inside the pipe and depth of the water surface at the upstream manhole. The Manning's nomograph and a partial flow diagram are attached.
10.000 - 600 9,000 Manning Formula Pipe Flow Chart Customary and Sl units 180 0.00003 +0.000 170 0.00004 F0004 160 150 0.0000 0.005 140 0.00006 +0.006 0.00007 +0007 130 120 0.00010 F0.010 0.25 72 66 60 54 8.000+0.500 7.000 E -0.400 6.000+ LLLL 09- 0.00006 to 006 10-03 48 5.000 0.300 42-5110 TTTTTTTTTTT 100 12 4.000 36 90 13 04 0.200 30 1.4 3.000 BO 70 60 0.00015 +0.015 0.00020 +0.020 0.0003 Foos 0.0004 F004 0.0005 + 0.05 0.0006 +0.06 0.0001 +0.07 0.0008 +0.08 0.0010+010 0 150 24 2 15 1.6 1.7 0.5 2.000 ILIH 18 50 20- 18 1.9 20-08 1.500 40 -0.100 0 090 0.080 0.070 -0.000 0.0015+0.15 0 0020 +0.20 For 14 1.000 900 -30 2 | 10 0.8 TTTTTTTTTTT 800 0.050 Flow, m/s Flow. epm Pipe diamater, in. Pipe diameter, cm Slopo, ft/ft or m/m 700 0.003+0.3 0.004+04 0.005+05 0.006 0.6 0.00T+0.7 0.008 08 0.010 1.0 Slope, % Velocity, ft/s of TTTTTTT Velocity, m/s 600+ 0.040 jumping SOO 1.1 0.030 0.015+15 400 12 0.020+ 20 300 0.020 L 5- 0.015 0.03- 30 0.04 +40 006 + 50 0.06+ 60 0.07 +70 0.08 +8.0 010-10 200 ܠܨܸܠܺܝܛܺܝ Oo 6 20 0.15-+15 0.20+20 22 24 150 0010 0.009 -0.008 0.007 100- 0.006 90+ 100005 70+ 60 -0.004 030+30 26 9 04040 0.50 50 0.60 -60 28 10 3.0 OTO +70 0.60+80 50 0.003 n = 0.013 Chart based on the formula Q = 1.000 15 x Arix si tor pipe flowing full. X
1.0 09 0.8 0.7 0.6 CID UUPU 0.5 Discharge curve 0.4 0.3 Velocity curve 0.2 0.1 Crown 0 01 02 03 04 05 0.6 0.7 0.8 0.9 10 11 1.2 Ratio q/Q or IV Flow Surface D Nomenclature d = partial depth D full depth or pipe diameter q- partial discharge o full-flow discharge v - velocity, partially full V = velocity, full Invert