Question 11.SP.2: Measurements made on the cross section of Fig. 11.11 are: ......
Measurements made on the cross section of Fig. 11.11 are:
Calculate the total discharge in the stream by the three different methods described.
| Position | y,ft | b,ft | Velocity V, fps, at | |||
| Surface | 0.2 y | 0.6 y | 0.8 y | |||
| 0 | – | 4.09 | – | – | – | – |
| 1 | 3.60 | 3.53 | – | 2.88 | 2.80 | 1.50 |
| 2 | 3.44 | 6.55 | – | 3.15 | 3.02 | 2.50 |
| 3 | 7.20 | 6.45 | 4.05 | 4.18 | 3.48 | 3.10 |
| 4 | 6.72 | 6.58 | – | 3.40 | 3.15 | 2.85 |
| 5 | – | – | – | – | – | |
Step-by-Step
Using Q=A V :
(3) Assume float velocity = surface velocity at position 3:
Q=0.85 A V_s=0.85(118.38) 4.05=407.5 \mathrm{cfs}
| Method: | (1) | (1) | (2) | (2) | (2) | |
| Position | A=b \bar{y} | V_{0.6} | Q_{0.6} | \frac{V_{0.2}+V_{0.8}}{2} | \bar{V}_{0.2,0.8} | Q_{0.2,0.8} |
| \mathrm{ft}^2 | fps | \mathrm{cfs} | fps | fps | cfs | |
| 0 | – | |||||
| 1 | 7.36 | 1.40 | 10.31 | 2.19 | 1.10 | 8.06 |
| 2 | 12.43 | 2.91 | 36.16 | 2.83 | 2.51 | 31.16 |
| 3 | 34.85 | 3.25 | 113.25 | 3.64 | 3.23 | 112.64 |
| 4 | 43.28 | 3.32 | 143.47 | 3.13 | 3.38 | 146.39 |
| 5 | 20.46 | 1.58 | 32.23 | – | 1.56 | 31.97 |
| Total | 118.38 | 335.4 | 330.2 |
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