A trapezoidal channel has a section similar to the one in Figure 8, where B is 10 m. The channel …

QUESTION 6 (17 Marks) (a) A trapezoidal channel has a section similar to the one in Figure 8, where B is 10 m. The channel has a slope s 0.0002 and a Mannings coefficient n 0.012. The discharge Q 70 ms/s passes through a sluice gate (as shown in Figure 9) that forces the water level to be y 0.2 m near the exit from the gate. Also shown in Figure 9, the channel continues until it reaches a sudden drop (i) Classify the flow profiles knowing that the channel is long enough for the normal depth (yn 2.547 m) to be reached and that the critical depth is y 1.6 m [4 Marks] se the direct step method (2 steps) to determine at which distance downstream of the [10 Marks] sluice gate the water would reach a level of 1.0 m. 13 Marks] iii) Compute the Froude number at a water depth y 2.547 m. TOTAL: 17 Marks) Sluice gate Sudden drop Figure 9: Layout of the system.

A trapezoidal channel has a section similar to the one in Figure 8, where B is 10 m. The channel has a slope s = 0.0002 and a Manning’s coefficient n = 0.012. The discharge Q = 70 m^3/s passes through a sluice gate (as shown in Figure 9) that forces the water level to be y = 0.2 m near the exit from the gate. Also shown in Figure 9, the channel continues until it reaches a sudden drop. (i) Classify the flow profiles knowing that the channel is long enough for the normal depth (y_n = 2.547 m) to be reached and that the critical depth is y_c = 1.6 m. (ii) Use the direct step method (2 steps) to determine at which distance downstream of the sluice gate the water would reach a level of 1.0 m. (iii) Compute the Froude number at a water depth y = 2.547 m.

 
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