Flood route the given input hydrograph through a linear reservoir (S = KQ), given K = 2.5 hr and Δt = 1 hr. Solve one step beyond the peak outflow by developing a simple relation for computing outflow Q2, as a function of Q1, and inflows I1 and I2. Assume that storage and outflow are initially zero. Use the fact that S = K(xI + (1 − x)Q) and I − Q = ΔS/Δf. (Hint: Use the fact that the reservoir is linear to determine x).
Time (hr) | Inflow (cfs) |
0 | 0 |
1 | 100 |
2 | 250 |
3 | 400 |
4 | 350 |
5 | 300 |
6 | 200 |
7 | 100 |
8 | 50 |
9 | 0 |
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