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The variation of (2S/dt + Q) with Q, of a basin is given by Q = 0.0015(2S/dt + Q

ID: 1920887 • Letter: T

Question

The variation of (2S/dt + Q) with Q, of a basin is given by Q = 0.0015(2S/dt + Q)2 + 0.195(2S/dt + Q) - 0.3833. The outlet structure is a weir with crest length L = 1.5 m set at elevation Y = 30.5 m and discharge coefficient kw = 0.4. The storage of the basin increases linearly from 0 at Y = 30.5 m to 16,980 m3 at Y = 35 m and the initial water level is at Y = 30.9 m.

(i) Determine the peak outflow rate when the following inflow hydrograph is routed through this basin.

(ii) What is the design storage and water surface elevation at the peak outflow rate.

Explanation / Answer

The variation of (2S/dt + Q) with Q, of a basin is given by Q = 0.0015(2S/dt + Q)2 +
0.195(2S/dt + Q) - 0.3833. The outlet structure is a weir with crest length L = 1.5 m set
at elevation Y = 30.5 m and discharge coefficient kw = 0.4. The storage of the basin
increases linearly from 0 at Y = 30.5 m to 16,980 m3 at Y = 35 m and the initial water
level is at Y = 30.9 m.


(i) Determine the peak outflow rate when the following inflow hydrograph is routed
through this basin.


t(min) 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160


Q(m3/s) 0 1.4 2.8 4.3 5.7 7.1 8.5 7.6 6.8 5.9 5.1 4.3 3.4 2.6 1.7 0.8 0


(ii) What is the design storage and water surface elevation at the peak outflow rate.