Channel 3
11
OPEN CHANNEL FLOW Given Q b = 0.61 m x = 0m So = 0 n = 0.013 y 1 Q = 0.283 Depth (y) A P B R V E -Sf m m m m m m/s 2g 1 0.28 0.17 1.17 0.6 0.15 0.28 1.66 0.1399 0.4199 ### 2 0.34 0.21 1.29 0.6 0.16 0.34 1.36 0.0949 0.4349 ### 3 0.40 0.24 1.41 0.6 0.17 0.40 1.16 0.0686 0.4686 ### 4 0.46 0.28 1.53 0.6 0.18 0.46 1.01 0.0518 0.5118 ### 5 0.52 0.32 1.65 0.6 0.19 0.52 0.89 0.0406 0.5606 ### 6 0.58 0.35 1.77 0.6 0.20 0.58 0.80 0.0326 0.6126 ### 7 0.64 0.39 1.89 0.6 0.21 0.64 0.72 0.0268 0.6668 ### 8 0.70 0.43 2.01 0.6 0.21 0.70 0.66 0.0224 0.7224 ### 9 0.76 0.46 2.13 0.6 0.22 0.76 0.61 0.0190 0.7790 ### 10 0.82 0.50 2.25 0.6 0.22 0.82 0.57 0.0163 0.8363 ### a = Dm aV 2 m 2
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Transcript of Channel 3
OPEN CHANNEL FLOW
Given Q
b = 0.61 mx = 0 m
So = 0n = 0.013 y
1Q = 0.283
Depth (y) A P B R V E -Sf So-Sf
m m m m m m/s 2g
1 0.28 0.17 1.17 0.6 0.15 0.28 1.66 0.1399 0.4199 -0.0060322 0.34 0.21 1.29 0.6 0.16 0.34 1.36 0.0949 0.4349 -0.003597 -0.0048153 0.40 0.24 1.41 0.6 0.17 0.40 1.16 0.0686 0.4686 -0.002356 -0.0029774 0.46 0.28 1.53 0.6 0.18 0.46 1.01 0.0518 0.5118 -0.001649 -0.0020025 0.52 0.32 1.65 0.6 0.19 0.52 0.89 0.0406 0.5606 -0.001212 -0.001436 0.58 0.35 1.77 0.6 0.20 0.58 0.80 0.0326 0.6126 -0.000925 -0.0010687 0.64 0.39 1.89 0.6 0.21 0.64 0.72 0.0268 0.6668 -0.000727 -0.0008268 0.70 0.43 2.01 0.6 0.21 0.70 0.66 0.0224 0.7224 -0.000585 -0.0006569 0.76 0.46 2.13 0.6 0.22 0.76 0.61 0.0190 0.7790 -0.000481 -0.000533
10 0.82 0.50 2.25 0.6 0.22 0.82 0.57 0.0163 0.8363 -0.000401 -0.000441
a =
Dm aV 2
m2
OPEN CHANNEL FLOW
b
dE dx X
0.0000 0.00.01497 -3.11 -3.11 3.10.03367 -11.31 -14.42 14.40.04328 -21.61 -36.03 36.00.04873 -34.07 -70.10 70.10.05204 -48.72 -118.82 118.80.05417 -65.60 -184.42 184.40.05561 -84.75 -269.16 269.20.05660 -106.19 -375.35 375.40.05732 -129.95 -505.30 505.3
OPEN CHANNEL FLOW
Given Q
b = 0.61 mx = 0 m
So = 0n = 0.013 y
1Q = 444
444
Depth (y) A P B R V E -Sf So-Sf
m m m m m m/s 2g
1 0.28 Err:508 1.17 0.6 Err:508 Err:508 Err:508 Err:508 Err:508 Err:5082 0.34 0.21 1.29 0.6 0.16 0.34 2140.79 233587.4110 233587.7510 -8854.114993 Err:5083 0.40 0.24 1.41 0.6 0.17 0.40 1819.67 168766.9044 168767.3044 -5799.511725 -7326.8134 0.46 0.28 1.53 0.6 0.18 0.46 1582.32 127612.0260 127612.4860 -4058.542789 -4929.0275 0.52 0.32 1.65 0.6 0.19 0.52 1399.75 99862.0736 99862.5936 -2982.739036 -3520.6416 0.58 0.35 1.77 0.6 0.20 0.58 1254.95 80269.6335 80270.2135 -2276.099096 -2629.4197 0.64 0.39 1.89 0.6 0.21 0.64 1137.30 65924.5720 65925.2120 -1789.262403 -2032.6818 0.70 0.43 2.01 0.6 0.21 0.70 1039.81 55107.5606 55108.2606 -1440.777381 -1615.029 0.76 0.46 2.13 0.6 0.22 0.76 957.72 46749.8350 46750.5950 -1183.386507 -1312.082
10 0.82 0.50 2.25 0.6 0.22 0.82 887.64 40158.6923 40159.5123 -988.248199 -1085.817
a =
Dm aV 2
m2
OPEN CHANNEL FLOW
b
dE dx X
0.0000 0.0Err:508 Err:508 Err:508 Err:508
### 8.85 Err:508 Err:508### 8.35 Err:508 Err:508### 7.88 Err:508 Err:508### 7.45 Err:508 Err:508### 7.06 Err:508 Err:508### 6.70 Err:508 Err:508### 6.37 Err:508 Err:508### 6.07 Err:508 Err:508
Open Channel Flow
Depth over weir
ywmean######
4.434 ###
2.448 2.5 4.434#########
50 ######
Q = 600 m3/s ###So = 0.002 ###
n = 0.04 ###b = 50 m ###x = 0 m ###
Cd = 0.88 ###Ps = 2.5 ###
g = 9.81 ###Slope = Steep ###Steps = -0.1 ###
#########
Use GOAL SEEK to find QQ n b yn So yc h
600.0 0.04 50 4.434 0.002 2.448 4.000
-5000500100015002000250030000.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
5.0
5.5
6.0
6.5
7.0
Backwater Profile
Distance Upstream
Dep
th
Open Channel Flow
Q = 600.0 h = 4.000n = 0.04 g = 9.81b = 50 m x = 0 m
yn = 4.434 m yc = 2.448 m 4.43So = 0.002 Slope = Steep
2.452.5
Ps = 2.5Cd = 0.88 Steps = -0.1
Direct Step Method
yw Area P M Velocity Fr Sf (So-Sf) (So-Sf) x
m m m m/s mean mean
6.5 325.0 63.0 5.2 1.8 0.2312 0.0535 0.9465 0.0006 0.0014 0.0
6.4 320.0 62.8 5.1 1.9 0.2366 0.0560 0.9440 0.945 0.0006 0.0014 0.0014 68.8
6.3 315.0 62.6 5.0 1.9 0.2423 0.0587 0.9413 0.943 0.0007 0.0013 0.0013 139.0
6.2 310.0 62.4 5.0 1.9 0.2482 0.0616 0.9384 0.940 0.0007 0.0013 0.0013 210.8
6.1 305.0 62.2 4.9 2.0 0.2543 0.0647 0.9353 0.937 0.0007 0.0013 0.0013 284.3
6.0 300.0 62.0 4.8 2.0 0.2607 0.0680 0.9320 0.934 0.0008 0.0012 0.0012 359.7
5.9 295.0 61.8 4.8 2.0 0.2673 0.0715 0.9285 0.930 0.0008 0.0012 0.0012 437.4
5.8 290.0 61.6 4.7 2.1 0.2743 0.0752 0.9248 0.927 0.0009 0.0011 0.0012 517.7
5.7 285.0 61.4 4.6 2.1 0.2815 0.0793 0.9207 0.923 0.0009 0.0011 0.0011 601.0
5.6 280.0 61.2 4.6 2.1 0.2891 0.0836 0.9164 0.919 0.0010 0.0010 0.0011 687.8
5.5 275.0 61.0 4.5 2.2 0.2970 0.0882 0.9118 0.914 0.0010 0.0010 0.0010 778.7
5.4 270.0 60.8 4.4 2.2 0.3053 0.0932 0.9068 0.909 0.0011 0.0009 0.0009 874.7
5.3 265.0 60.6 4.4 2.3 0.3140 0.0986 0.9014 0.904 0.0011 0.0009 0.0009 976.8
5.2 260.0 60.4 4.3 2.3 0.3231 0.1044 0.8956 0.899 0.0012 0.0008 0.0008 1086.7
5.1 255.0 60.2 4.2 2.4 0.3327 0.1107 0.8893 0.892 0.0013 0.0007 0.0007 1206.4
5.0 250.0 60.0 4.2 2.4 0.3427 0.1174 0.8826 0.886 0.0014 0.0006 0.0007 1339.3
4.9 245.0 59.8 4.1 2.4 0.3532 0.1248 0.8752 0.879 0.0015 0.0005 0.0006 1490.6
4.8 240.0 59.6 4.0 2.5 0.3643 0.1327 0.8673 0.871 0.0016 0.0004 0.0005 1669.3
4.7 235.0 59.4 4.0 2.6 0.3760 0.1414 0.8586 0.863 0.0017 0.0003 0.0004 1892.8
4.6 230.0 59.2 3.9 2.6 0.3883 0.1508 0.8492 0.854 0.0018 0.0002 0.0003 2203.1
4.5 225.0 59.0 3.8 2.7 0.4014 0.1611 0.8389 0.844 0.0019 0.0001 0.0002 2751.9
m3/s
Fr2 (1-Fr2) (1-Fr2)
m2
Open Channel Flow
