Question 6.24: Uniform flow exists upstream and downstream from a gate in a...
Uniform flow exists upstream and downstream from a gate in a rectangular channel. The upstream uniform depth and velocity are: Y_{o1}= 6 ft, and V_{o1} = 9 fps. The downstream uniform depth is: Y_{o2 }= 3.5 ft. Suddenly, the gate is partially closed so that it produces a depth of 2 ft immediately downstream from it. First, determine the depth and the velocity immediately upstream from the gate, and the velocity of the hydraulic bore that the gate’s instant closure causes. Also, determine the velocity of the hydraulic bore downstream from the gate and the depth and the velocity just downstream from this moving wave. Second, determine the conditions upstream and downstream from the gate over a 400 s time period, using 20 s time steps if the gate is closed further so that the change in unit flow rate after the initial instant closure is dq/dt = 0.01 (ft/s)².
