A reservoir has a linear S-Q relationship of S = KQ, Where K = 1.21 hr. the inflow hydrograph for a storm event is given in the table.
(a) Develop a simple recursive relation using the continuity equation and S-Q relationship for the linear reservoir [i.e., aQ2 =bQ1 + c, where a, b, and c are constants and = (I1+I2) / 2].
(b) Storage route the hydrograph through the reservoir using ∆t = 1 hr.
(c) Explain why the shape of storage-discharge relations is usually not linear for actual reservoirs.
Time (hr)Inflow (m3/s)
0.................................0
1..............................100
2..............................200
3..............................400
4..............................300
5..............................200
6..............................100
7................................50
8.................................0