A reservoir has a linear S-Q relationship ofS = KQ,where K = 1.21 hr. The inflow hydrograp...

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+  where a, b, and c are constants and

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(b) Storage route the hydrograph through the reservoir using Δt = 1 hr.

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(c) Explain why the shape of storage-discharge relations is usually not linear for actual reservoirs.