The storage equation has been given asSi = K[xIi + (1 − x)Oi]and the continuity equation a...

The storage equation has been given as

Si = K[xIi + (1 − x)Oi]

and the continuity equation as

Given that I and O are the average inflow and outflow within the time period and ΔS is the change in the storage, derive the Muskingum river routing equation:

O2 = C0I2 + C1I1 + C2O1>

where I2 and O2 refer to the inflow and outflow at the end of the time period, and I1 and O1 refer to those values at the beginning of the time period. Verify the equations for C0, C1, and C2 given.

Equations